## Cannarsa, Piermarco

Compute Distance To:
 Author ID: cannarsa.piermarco Published as: Cannarsa, Piermarco; Cannarsa, P. External Links: MGP · ORCID · Wikidata · GND · IdRef · theses.fr
 Documents Indexed: 196 Publications since 1980, including 5 Books 6 Contributions as Editor Reviewing Activity: 8 Reviews Co-Authors: 85 Co-Authors with 194 Joint Publications 2,058 Co-Co-Authors
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### Co-Authors

 8 single-authored 25 Da Prato, Giuseppe 21 Frankowska, Hélène 14 Vancostenoble, Judith 13 Albano, Paolo 13 Cheng, Wei 13 Sinestrari, Carlo 12 Martinez, Patrick 10 Alabau-Boussouira, Fatiha 10 Cardaliaguet, Pierre 7 Tessitore, Maria Elisabetta 7 Vespri, Vincenzo Riccardo 7 Yamamoto, Masahiro 6 Fragnelli, Genni 6 Sforza, Daniela 5 Floridia, Giuseppe 5 Komornik, Vilmos 5 Nguyen, Khai T. 5 Scarinci, Teresa 5 Soner, Halil Mete 4 Ancona, Fabio 4 Basco, Vincenzo 4 Beauchard, Karine 4 Khapalov, Alexander Yuri 4 Marchini, Elsa Maria 4 Urbani, Cristina 4 Wang, Kaizhi 4 Wolenski, Peter R. 4 Zolésio, Jean-Paul 3 Capuani, Rossana 3 Gozzi, Fausto 3 Guglielmi, Roberto 3 Loreti, Paola 3 Mendico, Cristian 3 Rocchetti, Dario 2 Ambrosio, Luigi 2 Campanato, Sergio 2 Castelpietra, Marco 2 D’Aprile, Teresa 2 Di Blasio, Gabriella 2 Fathi, Albert 2 Giorgieri, Elena 2 Marino, Francesco Pio 2 Mazzola, Marco 2 Pignotti, Cristina 2 Quincampoix, Marc 2 Tort, Jacques 2 Yan, Jun 1 Alberti, Giovanni 1 Barron, Emmanuel Nicholas 1 Bettiol, Piernicola 1 Bressan, Alberto 1 Buckdahn, Rainer 1 Cârjă, Ovidiu 1 Chen, Qinbo 1 Clarke, Francis H. 1 Colombo, Giovanni 1 Coron, Jean-Michel 1 Crasta, Graziano 1 Czarnecki, Marc-Olivier 1 de Teresa, Luz 1 Doubova, Anna 1 Duca, Alessandro 1 Ferretti, Roberto Giorgio 1 Gazzola, Filippo 1 Giannini, Massimo 1 Golgeleyen, Fikret 1 Jensen, Reed 1 Jin, Liang 1 Jones, Christopher K. R. T. 1 Leugering, Günter 1 Mansutti, Daniela 1 Marigonda, Antonio 1 Mennucci, Andrea Carlo Giuseppe 1 Metafune, Giorgio 1 Motta, Monica 1 Pallara, Diego 1 Peirone, Roberto 1 Portaluri, Alessandro 1 Priuli, Fabio Simone 1 Provenzale, Antonello 1 Rampazzo, Franco 1 Rifford, Ludovic 1 Sinestari, C. 1 Terreni, Brunello 1 Yu, Yifeng
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### Serials

 12 SIAM Journal on Control and Optimization 8 Journal of Differential Equations 7 Journal of Mathematical Analysis and Applications 6 Calculus of Variations and Partial Differential Equations 5 Discrete and Continuous Dynamical Systems 5 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 5 Journal of Evolution Equations 4 Inverse Problems 4 Journal of Functional Analysis 4 NoDEA. Nonlinear Differential Equations and Applications 4 Comptes Rendus. Mathématique. Académie des Sciences, Paris 3 Archive for Rational Mechanics and Analysis 3 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV 3 Applied Mathematics and Optimization 3 Control and Cybernetics 3 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 3 Transactions of the American Mathematical Society 3 Atti della Accademia Nazionale dei Lincei. Serie Ottava. Rendiconti. Classe di Scienze Fisiche, Matematiche e Naturali 3 Journal of the European Mathematical Society (JEMS) 3 Discrete and Continuous Dynamical Systems. Series S 3 Mathematical Control and Related Fields 3 Springer INdAM Series 2 Indiana University Mathematics Journal 2 Manuscripta Mathematica 2 Systems & Control Letters 2 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni 2 Differential and Integral Equations 2 Journal de Mathématiques Pures et Appliquées. Neuvième Série 2 SIAM Journal on Mathematical Analysis 2 Electronic Journal of Differential Equations (EJDE) 2 Advances in Differential Equations 2 Discrete and Continuous Dynamical Systems. Series B 2 Unitext 2 Minimax Theory and its Applications 2 Bollettino dell’Unione Matematica Italiana 1 Applicable Analysis 1 Communications in Mathematical Physics 1 Communications on Pure and Applied Mathematics 1 Israel Journal of Mathematics 1 Nonlinearity 1 Annali di Matematica Pura ed Applicata. Serie Quarta 1 Publications Mathématiques 1 Journal of the London Mathematical Society. Second Series 1 Le Matematiche 1 Mathematische Annalen 1 Memoirs of the American Mathematical Society 1 Rendiconti del Seminario Matematico della Università di Padova 1 Bollettino della Unione Matemàtica Italiana. Serie V. C. Analisi Funzionale e Applicazioni 1 Stochastic Analysis and Applications 1 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 1 Journal of Economic Dynamics & Control 1 Applied Mathematics Letters 1 Communications in Partial Differential Equations 1 Comptes Rendus de l’Académie des Sciences. Série I 1 Bollettino della Unione Matemàtica Italiana. Serie VI. B 1 Journal of Mathematical Systems, Estimation, and Control 1 Set-Valued Analysis 1 Applicationes Mathematicae 1 Journal of Convex Analysis 1 Mathematical Population Studies 1 European Series in Applied and Industrial Mathematics (ESAIM): Proceedings 1 Bollettino della Unione Matematica Italiana. Serie VIII. Sezione B. Articoli di Ricerca Matematica 1 Dynamics of Continuous, Discrete & Impulsive Systems. Series B. Applications & Algorithms 1 Comptes Rendus. Mécanique. Académie des Sciences, Paris 1 Communications on Pure and Applied Analysis 1 Milan Journal of Mathematics 1 Mediterranean Journal of Mathematics 1 Bollettino della Unione Matematica Italiana. Series V. B 1 Bulletin of the Institute of Mathematics. Academia Sinica. New Series 1 Lecture Notes in Mathematics 1 Series on Advances in Mathematics for Applied Sciences 1 Networks and Heterogeneous Media 1 Dynamic Games and Applications 1 Communications in Applied and Industrial Mathematics 1 Evolution Equations and Control Theory 1 Nonlinear Analysis. Theory, Methods & Applications 1 Séminaire Laurent Schwartz. EDP et Applications 1 Progress in Nonlinear Differential Equations and Their Applications 1 EMS Textbooks in Mathematics 1 Mathematics in Engineering
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### Fields

 115 Partial differential equations (35-XX) 92 Calculus of variations and optimal control; optimization (49-XX) 61 Systems theory; control (93-XX) 20 Operator theory (47-XX) 17 Real functions (26-XX) 14 Dynamical systems and ergodic theory (37-XX) 13 Ordinary differential equations (34-XX) 11 Probability theory and stochastic processes (60-XX) 7 General and overarching topics; collections (00-XX) 7 Functional analysis (46-XX) 7 Mechanics of particles and systems (70-XX) 6 Integral equations (45-XX) 5 Global analysis, analysis on manifolds (58-XX) 4 Measure and integration (28-XX) 4 Special functions (33-XX) 4 Mechanics of deformable solids (74-XX) 3 Differential geometry (53-XX) 3 Fluid mechanics (76-XX) 3 Operations research, mathematical programming (90-XX) 3 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 2 Functions of a complex variable (30-XX) 2 Algebraic topology (55-XX) 2 Numerical analysis (65-XX) 2 Geophysics (86-XX) 1 Potential theory (31-XX) 1 Approximations and expansions (41-XX) 1 General topology (54-XX) 1 Statistics (62-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Biology and other natural sciences (92-XX)

### Citations contained in zbMATH Open

176 Publications have been cited 2,694 times in 1,337 Documents Cited by Year
Semiconcave functions, Hamilton-Jacobi equations, and optimal control. Zbl 1095.49003
Cannarsa, Piermarco; Sinestrari, Carlo
2004
Decay estimates for second order evolution equations with memory. Zbl 1145.35025
Alabau-Boussouira, Fatiha; Cannarsa, Piermarco; Sforza, Daniela
2008
Carleman estimates for a class of degenerate parabolic operators. Zbl 1168.35025
Cannarsa, P.; Martinez, P.; Vancostenoble, J.
2008
Carleman estimates for degenerate parabolic operators with applications to null controllability. Zbl 1103.35052
Alabau-Boussouira, F.; Cannarsa, P.; Fragnelli, G.
2006
A general method for proving sharp energy decay rates for memory-dissipative evolution equations. Zbl 1179.35058
Alabau-Boussouira, Fatiha; Cannarsa, Piermarco
2009
Null controllability of degenerate heat equations. Zbl 1145.35408
Cannarsa, P.; Martinez, P.; Vancostenoble, J.
2005
Indirect internal stabilization of weakly coupled evolution equations. Zbl 1011.35018
Alabau, Fatiha; Cannarsa, Piermarco; Komornik, Vilmos
2002
Some characterizations of optimal trajectories in control theory. Zbl 0744.49011
Cannarsa, Piermarco; Frankowska, Halina
1991
Persistent regional null controllability for a class of degenerate parabolic equations. Zbl 1063.35092
Cannarsa, Piermarco; Martinez, Patrick; Vancostenoble, Judith
2004
Convexity properties of the minimum time function. Zbl 0836.49013
Cannarsa, Piermarco; Sinestrari, Carlo
1995
Null controllability of Grushin-type operators in dimension two. Zbl 1293.35148
Beauchard, Karine; Cannarsa, Piermarco; Guglielmi, Roberto
2014
On the singularities of convex functions. Zbl 0784.49011
Alberti, G.; Ambrosio, L.; Cannarsa, P.
1992
Controllability results for a class of one-dimensional degenerate parabolic problems in nondivergence form. Zbl 1176.35108
Cannarsa, Piermarco; Fragnelli, Genni; Rocchetti, Dario
2008
Global Carleman estimates for degenerate parabolic operators with applications. Zbl 1328.35114
Cannarsa, Piermarco; Martinez, Patrick; Vancostenoble, Judith
2016
Determination of source terms in a degenerate parabolic equation. Zbl 1200.35319
Cannarsa, P.; Tort, J.; Yamamoto, M.
2010
Global solutions of abstract semilinear parabolic equations with memory terms. Zbl 1052.35085
Cannarsa, Piermarco; Sforza, Daniela
2003
Propagation of singularities for solutions of nonlinear first order partial differential equations. Zbl 1043.35052
Albano, Paolo; Cannarsa, Piermarco
2002
On maximal $$L^ p$$ regularity for the abstract Cauchy problem. Zbl 0608.35027
Cannarsa, Piermarco; Vespri, Vincenzo
1986
Null controllability of degenerate parabolic operators with drift. Zbl 1140.93011
Cannarsa, Piermarco; Fragnelli, Genni; Rocchetti, Dario
2007
Regional controllability of semilinear degenerate parabolic equations in bounded domains. Zbl 1177.93016
Cannarsa, P.; Fragnelli, G.; Vancostenoble, J.
2006
Representation of equilibrium solutions to the table problem for growing sandpiles. Zbl 1084.35015
Cannarsa, Piermarco; Cardaliaguet, Pierre
2004
Second-order Hamilton-Jacobi equations in infinite dimensions. Zbl 0737.49020
Cannarsa, Piermarco; da Prato, Giuseppe
1991
Singular dynamics for semiconcave functions. Zbl 1194.35015
Cannarsa, Piermarco; Yu, Yifeng
2009
Integro-differential equations of hyperbolic type with positive definite kernels. Zbl 1218.45010
Cannarsa, Piermarco; Sforza, Daniela
2011
Structural properties of singularities of semiconcave functions. Zbl 0957.26002
Albano, Paolo; Cannarsa, Piermarco
1999
Carleman estimates and null controllability for boundary-degenerate parabolic operators. Zbl 1162.35330
Cannarsa, Piermarco; Martinez, Partick; Vancostenoble, Judith
2009
Singular gradient flow of the distance function and homotopy equivalence. Zbl 1270.35012
Albano, P.; Cannarsa, P.; Nguyen, Khai T.; Sinestrari, C.
2013
Interior sphere property of attainable sets and time optimal control problems. Zbl 1105.93007
Cannarsa, Piermarco; Frankowska, Hélène
2006
Null controllability of semilinear degenerate parabolic equations in bounded domains. Zbl 1112.35335
Cannarsa, Piermarco; Fragnelli, Genni
2006
Regularity results for solutions of a class of Hamilton-Jacobi equations. Zbl 0901.70013
Cannarsa, Piermarco; Mennucci, Andrea; Sinestrari, Carlo
1997
Controllability of 1-D coupled degenerate parabolic equations. Zbl 1178.35216
Cannarsa, Piermarco; de Teresa, Luz
2009
Generalized one-sided estimates for solutions of Hamilton-Jacobi equations and applications. Zbl 0681.49030
Cannarsa, Piermarco; Soner, Halil Mete
1989
Semiconcavity results for optimal control problems admitting no singular minimizing controls. Zbl 1145.49022
Cannarsa, P.; Rifford, L.
2008
Generation of analytic semigroups by elliptic operators with unbounded coefficients. Zbl 0623.47039
Cannarsa, Piermarco; Vespri, Vincenzo
1987
The cost of controlling weakly degenerate parabolic equations by boundary controls. Zbl 1360.35104
Cannarsa, Piermarco; Martinez, Patrick; Vancostenoble, Judith
2017
On the propagation of singularities of semi-convex functions. Zbl 0874.49041
Ambrosio, L.; Cannarsa, P.; Soner, H. M.
1993
Differentiability and partial Hölder continuity of the solutions of non- linear elliptic systems of order 2m with quadratic growth. Zbl 0474.35048
Campanato, S.; Cannarsa, P.
1981
Unique continuation and approximate controllability for a degenerate parabolic equation. Zbl 1248.35034
Cannarsa, Piermarco; Tort, Jacques; Yamamoto, Masahiro
2012
Generation of analytic semigroups in the $$L^ p$$ topology by elliptic operators in $${\mathbb{R}}^ n$$. Zbl 0669.35026
Cannarsa, Piermarco; Vespri, Vincenzo
1988
A boundary value problem for a PDE model in mass transfer theory: representation of solutions and applications. Zbl 1089.35076
Cannarsa, P.; Cardaliaguet, P.; Crasta, G.; Giorgieri, E.
2005
Existence and uniqueness for mean field games with state constraints. Zbl 1419.49047
Cannarsa, Piermarco; Capuani, Rossana
2018
On the singularities of the viscosity solutions to Hamilton-Jacobi- Bellman equations. Zbl 0612.70016
Cannarsa, Piermarco; Soner, Halil Mete
1987
Direct solution of a second order Hamilton-Jacobi equation in Hilbert spaces. Zbl 0805.49016
Cannarsa, P.; Da Prato, G.
1992
Value function and optimality conditions for semilinear control problems. Zbl 0765.49001
Cannarsa, Piermarco; Frankowska, Halina
1992
Multiplicative controllability for semilinear reaction-diffusion equations with finitely many changes of sign. Zbl 1370.93140
Cannarsa, Piermarco; Floridia, Giuseppe; Khapalov, Alexander Y.
2017
Optimality conditions and synthesis for the minimum time problem. Zbl 0988.49010
Cannarsa, Piermarco; Frankowska, Hélène; Sinestrari, Carlo
2000
Inverse source problem and null controllability for multidimensional parabolic operators of Grushin type. Zbl 1286.35260
Beauchard, K.; Cannarsa, P.; Yamamoto, M.
2014
Heat equation on the Heisenberg group: observability and applications. Zbl 1366.35206
Beauchard, K.; Cannarsa, P.
2017
On the Bellman equation for the minimum time problem in infinite dimensions. Zbl 1095.49023
Cannarsa, Piermarco; Cârjă, Ovidiu
2004
The damped wave equation in a moving domain. Zbl 0786.35089
Cannarsa, Piermarco; Da Prato, Giuseppe; Zolesio, Jean-Paul
1990
On the topology of the set of singularities of a solution to the Hamilton-Jacobi equation. (Sur la topologie des singularités d’une solution de l’équation de Hamilton-Jacobi.) Zbl 1361.35043
Cannarsa, Piermarco; Cheng, Wei; Fathi, Albert
2017
Indirect stabilization of weakly coupled systems with hybrid boundary conditions. Zbl 1241.93038
Alabau-Boussouira, Fatiha; Cannarsa, Piermarco; Guglielmi, Roberto
2011
Semiconcavity for optimal control problems with exit time. Zbl 1009.49024
Cannarsa, Piermarco; Pignotti, Cristina; Sinestrari, Carlo
2000
Linear degenerate parabolic equations in bounded domains: controllability and observability. Zbl 1214.93021
Cannarsa, P.; Fragnelli, G.; Vancostenoble, J.
2006
Multiplicative controllability for reaction-diffusion equations with target states admitting finitely many changes of sign. Zbl 1219.93010
Cannarsa, Piermarco; Khapalov, Alexander
2010
A boundary-value problem for Hamilton-Jacobi equations in Hilbert spaces. Zbl 0745.49025
Cannarsa, Piermarco; Gozzi, Fausto; Soner, Halil Mete
1991
Control and stabilization of degenerate wave equations. Zbl 1373.35185
Alabau-Boussouira, Fatiha; Cannarsa, Piermarco; Leugering, Günter
2017
Vanishing discount limit and nonexpansive optimal control and differential games. Zbl 1327.49002
Cannarsa, P.; Quincampoix, M.
2015
Local regularity of the value function in optimal control. Zbl 1280.49056
Cannarsa, P.; Frankowska, H.
2013
From pointwise to local regularity for solutions of Hamilton-Jacobi equations. Zbl 1288.35144
Cannarsa, P.; Frankowska, H.
2014
Null controllability of the heat equation in unbounded domains by a finite measure control region. Zbl 1091.93011
Cannarsa, Piermarco; Martinez, Patrick; Vancostenoble, Judith
2004
Infinite-dimensional Hamilton-Jacobi equations and Dirichlet boundary control problems of parabolic type. Zbl 0880.49029
Cannarsa, Piermarco; Tessitore, Maria Elisabetta
1996
Singularities of semiconcave functions in Banach spaces. Zbl 0923.49010
Albano, Paolo; Cannarsa, Piermarco
1999
Hölder estimates in space-time for viscosity solutions of Hamilton-Jacobi equations. Zbl 1206.35052
Cannarsa, Piermarco; Cardaliaguet, Pierre
2010
On a differential model for growing sandpiles with non-regular sources. Zbl 1190.35131
Cannarsa, Piermarco; Cardaliaguet, Pierre; Sinestrari, Carlo
2009
A dynamic programming approach to nonlinear boundary control problems of parabolic type. Zbl 0823.49017
Cannarsa, Piermarco; Gozzi, Fausto; Soner, Halil Mete
1993
Some results on non-linear optimal control problems and Hamilton-Jacobi equations in infinite dimensions. Zbl 0717.49022
Cannarsa, P.; Da Prato, G.
1990
Semilinear integrodifferential equations of hyperbolic type: existence in the large. Zbl 1072.45009
Sforza, Daniela; Cannarsa, Piermarco
2004
Approximate multiplicative controllability for degenerate parabolic problems with Robin boundary conditions. Zbl 1329.93029
Cannarsa, Piermarco; Floridia, Giuseppe
2011
Optimality conditions and regularity results for time optimal control problems with differential inclusions. Zbl 1331.49031
Cannarsa, Piermarco; Marigonda, Antonio; Nguyen, Khai T.
2015
Global propagation of singularities for time dependent Hamilton-Jacobi equations. Zbl 1336.35014
Cannarsa, Piermarco; Mazzola, Marco; Sinestrari, Carlo
2015
Infinite-dimensional elliptic equations with Hölder-continuous coefficients. Zbl 0926.35153
Cannarsa, Piermarco; Da Prato, Giuseppe
1996
Inverse coefficient problems for a transport equation by local Carleman estimate. Zbl 1427.35033
Cannarsa, P.; Floridia, Giuseppe; Gölgeleyen, F.; Yamamoto, M.
2019
Herglotz’ generalized variational principle and contact type Hamilton-Jacobi equations. Zbl 1428.35087
Cannarsa, Piermarco; Cheng, Wei; Wang, Kaizhi; Yan, Jun
2019
Propagation of singularities for weak KAM solutions and barrier functions. Zbl 1302.35108
Cannarsa, Piermarco; Cheng, Wei; Zhang, Qi
2014
Second-order sensitivity relations and regularity of the value function for Mayer’s problem in optimal control. Zbl 1335.49040
Cannarsa, P.; Frankowska, H.; Scarinci, T.
2015
Generation of analytic semi-groups in $$L^2$$ for a class of second order degenerate elliptic operators. Zbl 1187.47032
Cannarsa, Piermarco; Rocchetti, Dario; Vancostenoble, Judith
2008
Evolution equations in non-cylindrical domains. Zbl 0752.35020
Cannarsa, Piermarco; Da Prato, Giuseppe; Zolésio, Jean-Paul
1989
Generalized characteristics and Lax-Oleinik operators: global theory. Zbl 1378.35078
Cannarsa, Piermarco; Cheng, Wei
2017
Propagation of singularities for concave solutions of Hamilton-Jacobi equations. Zbl 0971.49018
Albano, Paolo; Cannarsa, Piermarco
2000
On a class of nonlinear time optimal control problems. Zbl 0867.49016
Cannarsa, Piermarco; Sinestrari, Carlo
1995
Existence and Lipschitz regularity of solutions to Bolza problems in optimal control. Zbl 1169.49001
Cannarsa, P.; Frankowska, H.; Marchini, E. M.
2009
Well-posedness of $$2-D$$ and $$3-D$$ swimming models in incompressible fluids governed by Navier-Stokes equations. Zbl 1323.35130
Khapalov, Alexander; Cannarsa, Piermarco; Priuli, Fabio S.; Floridia, Giuseppe
2015
Semiconcavity of the value function for a class of differential inclusions. Zbl 1211.49005
Cannarsa, Piermarco; Wolenski, Peter R.
2011
Invariant measures associated to degenerate elliptic operators. Zbl 1208.60053
Cannarsa, P.; Da Prato, G.; Frankowska, H.
2010
Herglotz’ variational principle and Lax-Oleinik evolution. Zbl 1450.37058
Cannarsa, Piermarco; Cheng, Wei; Jin, Liang; Wang, Kaizhi; Yan, Jun
2020
Observability inequalities for transport equations through Carleman estimates. Zbl 1428.35084
Cannarsa, Piermarco; Floridia, Giuseppe; Yamamoto, Masahiro
2019
C$$^{1,1}$$-smoothness of constrained solutions in the calculus of variations with application to mean field games. Zbl 1433.49002
Cannarsa, Piermarco; Capuani, Rossana; Cardaliaguet, Pierre
2019
Value function, relaxation, and transversality conditions in infinite horizon optimal control. Zbl 1376.49016
Cannarsa, P.; Frankowska, H.
2018
Exterior sphere condition and time optimal control for differential inclusions. Zbl 1251.49049
Cannarsa, Piermarco; Nguyen, Khai T.
2011
On a functional analysis approach to parabolic equations in infinite dimensions. Zbl 0787.35115
Cannarsa, Piermarco; Da Prato, Giuseppe
1993
Mean field games with state constraints: from mild to pointwise solutions of the PDE system. Zbl 1467.49023
Cannarsa, Piermarco; Capuani, Rossana; Cardaliaguet, Pierre
2021
Nonlinear optimal control with infinite horizon for distributed parameter systems and stationary Hamilton-Jacobi equations. Zbl 0682.49033
Cannarsa, P.; Da Prato, G.
1989
Analytic semigroups generated by non-variational elliptic systems of second order under Dirichlet boundary conditions. Zbl 0593.47048
Cannarsa, Piermarco; Terreni, Brunello; Vespri, Vincenzo
1985
Conjugate times and regularity of the minimum time function with differential inclusions. Zbl 1329.49065
Cannarsa, Piermarco; Scarinci, Teresa
2015
Sensitivity relations for the Mayer problem with differential inclusions. Zbl 1319.49036
Cannarsa, Piermarco; Frankowska, Hélène; Scarinci, Teresa
2015
Regularity of Hamiltonian-Jacobi equations when forward is backward. Zbl 0939.35044
Barron, E. N.; Cannarsa, P.; Jensen, R.; Sinestari, C.
1999
A stability result for a class of nonlinear integrodifferential equations with $$L^1$$ kernels. Zbl 1163.45009
Cannarsa, Piermarco; Sforza, Daniela
2008
An existence result for semilinear equations in viscoelasticity: The case of regular kernels. Zbl 1046.45007
Sforza, D.; Cannarsa, P.
2002
On a maximum principle for elliptic systems with constant coefficients. Zbl 0473.35016
Cannarsa, Piermarco
1981
Exact controllability to eigensolutions for evolution equations of parabolic type via bilinear control. Zbl 07535514
Alabau-Boussouira, Fatiha; Cannarsa, Piermarco; Urbani, Cristina
2022
Mean field games with state constraints: from mild to pointwise solutions of the PDE system. Zbl 1467.49023
Cannarsa, Piermarco; Capuani, Rossana; Cardaliaguet, Pierre
2021
Superexponential stabilizability of evolution equations of parabolic type via bilinear control. Zbl 1467.35326
Alabau-Boussouira, Fatiha; Cannarsa, Piermarco; Urbani, Cristina
2021
Sharp estimate of the cost of controllability for a degenerate parabolic equation with interior degeneracy. Zbl 1470.35206
Cannarsa, Piermarco; Martinez, Patrick; Vancostenoble, Judith
2021
Local singular characteristics on $$\mathbb{R}^2$$. Zbl 1472.35095
Cannarsa, Piermarco; Cheng, Wei
2021
Singularities of solutions of time dependent Hamilton-Jacobi equations. Applications to Riemannian geometry. Zbl 1473.35104
Cannarsa, Piermarco; Cheng, Wei; Fathi, Albert
2021
Singularities of solutions of Hamilton-Jacobi equations. Zbl 1470.35135
Cannarsa, Piermarco; Cheng, Wei
2021
Herglotz’ variational principle and Lax-Oleinik evolution. Zbl 1450.37058
Cannarsa, Piermarco; Cheng, Wei; Jin, Liang; Wang, Kaizhi; Yan, Jun
2020
The cost of controlling strongly degenerate parabolic equations. Zbl 1442.93016
Cannarsa, P.; Martinez, P.; Vancostenoble, J.
2020
Long-time behavior of first-order mean field games on Euclidean space. Zbl 1443.91043
Cannarsa, Piermarco; Cheng, Wei; Mendico, Cristian; Wang, Kaizhi
2020
Mild and weak solutions of mean field game problems for linear control systems. Zbl 1454.35389
Cannarsa, Piermarco; Mendico, Cristian
2020
Precise estimates for biorthogonal families under asymptotic gap conditions. Zbl 1466.93017
Cannarsa, Piermarco; Martinez, Patrick; Vancostenoble, Judith
2020
Superexponential stabilizability of degenerate parabolic equations via bilinear control. Zbl 1443.35181
Cannarsa, Piermarco; Urbani, Cristina
2020
Domain invariance for local solutions of semilinear evolution equations in Hilbert spaces. Zbl 1454.58010
Cannarsa, Piermarco; Da Prato, Giuseppe; Frankowska, Hélène
2020
Generation of singularities from the initial datum for Hamilton-Jacobi equations. Zbl 1437.35153
Albano, Paolo; Cannarsa, Piermarco; Sinestrari, Carlo
2020
On and beyond propagation of singularities of viscosity solutions. Zbl 1460.35070
Cannarsa, Piermarco; Cheng, Wei
2020
Inverse coefficient problems for a transport equation by local Carleman estimate. Zbl 1427.35033
Cannarsa, P.; Floridia, Giuseppe; Gölgeleyen, F.; Yamamoto, M.
2019
Herglotz’ generalized variational principle and contact type Hamilton-Jacobi equations. Zbl 1428.35087
Cannarsa, Piermarco; Cheng, Wei; Wang, Kaizhi; Yan, Jun
2019
Observability inequalities for transport equations through Carleman estimates. Zbl 1428.35084
Cannarsa, Piermarco; Floridia, Giuseppe; Yamamoto, Masahiro
2019
C$$^{1,1}$$-smoothness of constrained solutions in the calculus of variations with application to mean field games. Zbl 1433.49002
Cannarsa, Piermarco; Capuani, Rossana; Cardaliaguet, Pierre
2019
Global generalized characteristics for the Dirichlet problem for Hamilton-Jacobi equations at a supercritical energy level. Zbl 1437.35154
Cannarsa, Piermarco; Cheng, Wei; Mazzola, Marco; Wang, Kaizhi
2019
Dynamic and asymptotic behavior of singularities of certain weak KAM solutions on the torus. Zbl 1484.37069
Cannarsa, Piermarco; Chen, Qinbo; Cheng, Wei
2019
Null controllability for parabolic operators with interior degeneracy and one-sided control. Zbl 1410.35076
Cannarsa, Piermarco; Ferretti, Roberto; Martinez, Patrick
2019
Existence and uniqueness for mean field games with state constraints. Zbl 1419.49047
Cannarsa, Piermarco; Capuani, Rossana
2018
Value function, relaxation, and transversality conditions in infinite horizon optimal control. Zbl 1376.49016
Cannarsa, P.; Frankowska, H.
2018
Regularity results for the minimum time function with Hörmander vector fields. Zbl 1380.35057
Albano, Paolo; Cannarsa, Piermarco; Scarinci, Teresa
2018
Necessary conditions for infinite horizon optimal control problems with state constraints. Zbl 1422.49022
Basco, Vincenzo; Cannarsa, Piermarco; Frankowska, Hélène
2018
Partial regularity for solutions to subelliptic eikonal equations. (Sur la régularité partielle des solutions de l’équation eikonale sous-elliptique.) Zbl 1383.35040
Albano, Paolo; Cannarsa, Piermarco; Scarinci, Teresa
2018
Invariance for quasi-dissipative systems in Banach spaces. Zbl 06790532
Cannarsa, P.; Da Prato, G.; Frankowska, H.
2018
Micromotions and controllability of a swimming model in an incompressible fluid governed by $$2-D$$ or $$3-D$$ Navier-Stokes equations. Zbl 1394.35317
Cannarsa, Piermarco; Khapalov, Alexander
2018
The cost of controlling weakly degenerate parabolic equations by boundary controls. Zbl 1360.35104
Cannarsa, Piermarco; Martinez, Patrick; Vancostenoble, Judith
2017
Multiplicative controllability for semilinear reaction-diffusion equations with finitely many changes of sign. Zbl 1370.93140
Cannarsa, Piermarco; Floridia, Giuseppe; Khapalov, Alexander Y.
2017
Heat equation on the Heisenberg group: observability and applications. Zbl 1366.35206
Beauchard, K.; Cannarsa, P.
2017
On the topology of the set of singularities of a solution to the Hamilton-Jacobi equation. (Sur la topologie des singularités d’une solution de l’équation de Hamilton-Jacobi.) Zbl 1361.35043
Cannarsa, Piermarco; Cheng, Wei; Fathi, Albert
2017
Control and stabilization of degenerate wave equations. Zbl 1373.35185
Alabau-Boussouira, Fatiha; Cannarsa, Piermarco; Leugering, Günter
2017
Generalized characteristics and Lax-Oleinik operators: global theory. Zbl 1378.35078
Cannarsa, Piermarco; Cheng, Wei
2017
Global Carleman estimates for degenerate parabolic operators with applications. Zbl 1328.35114
Cannarsa, Piermarco; Martinez, Patrick; Vancostenoble, Judith
2016
Quantitative compactness estimates for Hamilton-Jacobi equations. Zbl 1353.35116
Ancona, Fabio; Cannarsa, Piermarco; Nguyen, Khai T.
2016
Compactness estimates for Hamilton-Jacobi equations depending on space. Zbl 1353.35117
Ancona, Fabio; Cannarsa, Piermarco; Nguyen, Khai T.
2016
Source reconstruction by partial measurements for a class of hyperbolic systems in cascade. Zbl 1366.93044
Alabau-Boussouira, Fatiha; Cannarsa, Piermarco; Yamamoto, Masahiro
2016
Vanishing discount limit and nonexpansive optimal control and differential games. Zbl 1327.49002
Cannarsa, P.; Quincampoix, M.
2015
Optimality conditions and regularity results for time optimal control problems with differential inclusions. Zbl 1331.49031
Cannarsa, Piermarco; Marigonda, Antonio; Nguyen, Khai T.
2015
Global propagation of singularities for time dependent Hamilton-Jacobi equations. Zbl 1336.35014
Cannarsa, Piermarco; Mazzola, Marco; Sinestrari, Carlo
2015
Second-order sensitivity relations and regularity of the value function for Mayer’s problem in optimal control. Zbl 1335.49040
Cannarsa, P.; Frankowska, H.; Scarinci, T.
2015
Well-posedness of $$2-D$$ and $$3-D$$ swimming models in incompressible fluids governed by Navier-Stokes equations. Zbl 1323.35130
Khapalov, Alexander; Cannarsa, Piermarco; Priuli, Fabio S.; Floridia, Giuseppe
2015
Conjugate times and regularity of the minimum time function with differential inclusions. Zbl 1329.49065
Cannarsa, Piermarco; Scarinci, Teresa
2015
Sensitivity relations for the Mayer problem with differential inclusions. Zbl 1319.49036
Cannarsa, Piermarco; Frankowska, Hélène; Scarinci, Teresa
2015
Homoclinic orbits and critical points of barrier functions. Zbl 1335.37044
Cannarsa, Piermarco; Cheng, Wei
2015
Introduction to measure theory and functional analysis. Translated from the Italian by the authors. Zbl 1329.28003
Cannarsa, Piermarco; D&rsquo;Aprile, Teresa
2015
Null controllability of Grushin-type operators in dimension two. Zbl 1293.35148
Beauchard, Karine; Cannarsa, Piermarco; Guglielmi, Roberto
2014
Inverse source problem and null controllability for multidimensional parabolic operators of Grushin type. Zbl 1286.35260
Beauchard, K.; Cannarsa, P.; Yamamoto, M.
2014
From pointwise to local regularity for solutions of Hamilton-Jacobi equations. Zbl 1288.35144
Cannarsa, P.; Frankowska, H.
2014
Propagation of singularities for weak KAM solutions and barrier functions. Zbl 1302.35108
Cannarsa, Piermarco; Cheng, Wei; Zhang, Qi
2014
Null controllability in large time for the parabolic Grushin operator with singular potential. Zbl 1291.93036
Cannarsa, Piermarco; Guglielmi, Roberto
2014
Inverse coefficient problem for Grushin-type parabolic operators. Zbl 1394.35575
Beauchard, Karine; Cannarsa, Piermarco
2014
Singular gradient flow of the distance function and homotopy equivalence. Zbl 1270.35012
Albano, P.; Cannarsa, P.; Nguyen, Khai T.; Sinestrari, C.
2013
Local regularity of the value function in optimal control. Zbl 1280.49056
Cannarsa, P.; Frankowska, H.
2013
Optimal control for evolution equations with memory. Zbl 1260.49038
Cannarsa, P.; Frankowska, H.; Marchini, E. M.
2013
The dual arc inclusion with differential inclusions. Zbl 1257.49007
Cannarsa, Piermarco; Marino, Francesco; Wolenski, Peter
2013
A constructive proof of Gibson’s stability theorem. Zbl 1287.47033
Alabau-Boussouira, Fatiha; Cannarsa, Piermarco
2013
Unique continuation and approximate controllability for a degenerate parabolic equation. Zbl 1248.35034
Cannarsa, Piermarco; Tort, Jacques; Yamamoto, Masahiro
2012
Semiconcavity of the minimum time function for differential inclusions. Zbl 1263.49020
Cannarsa, Piermarco; Marino, Francesco; Wolenski, Peter
2012
Invariance for stochastic reaction-diffusion equations. Zbl 1262.60057
Cannarsa, Piermarco; Da Prato, Giuseppe
2012
Control of partial differential equations. Cetraro, Italy 2010. Papers based on the presentations at the CIME course, July 19–23, 2010. Zbl 1239.93001
2012
Regularity results for eikonal-type equations with nonsmooth coefficients. Zbl 1254.49022
Cannarsa, Piermarco; Cardaliaguet, Pierre
2012
Integro-differential equations of hyperbolic type with positive definite kernels. Zbl 1218.45010
Cannarsa, Piermarco; Sforza, Daniela
2011
Indirect stabilization of weakly coupled systems with hybrid boundary conditions. Zbl 1241.93038
Alabau-Boussouira, Fatiha; Cannarsa, Piermarco; Guglielmi, Roberto
2011
Approximate multiplicative controllability for degenerate parabolic problems with Robin boundary conditions. Zbl 1329.93029
Cannarsa, Piermarco; Floridia, Giuseppe
2011
Semiconcavity of the value function for a class of differential inclusions. Zbl 1211.49005
Cannarsa, Piermarco; Wolenski, Peter R.
2011
Exterior sphere condition and time optimal control for differential inclusions. Zbl 1251.49049
Cannarsa, Piermarco; Nguyen, Khai T.
2011
Stochastic viability for regular closed sets in Hilbert spaces. Zbl 1239.60054
Cannarsa, Piermarco; Da Prato, Giuseppe
2011
Determination of source terms in a degenerate parabolic equation. Zbl 1200.35319
Cannarsa, P.; Tort, J.; Yamamoto, M.
2010
Multiplicative controllability for reaction-diffusion equations with target states admitting finitely many changes of sign. Zbl 1219.93010
Cannarsa, Piermarco; Khapalov, Alexander
2010
Hölder estimates in space-time for viscosity solutions of Hamilton-Jacobi equations. Zbl 1206.35052
Cannarsa, Piermarco; Cardaliaguet, Pierre
2010
Invariant measures associated to degenerate elliptic operators. Zbl 1208.60053
Cannarsa, P.; Da Prato, G.; Frankowska, H.
2010
Lipschitz continuity and semiconcavity properties of the value function of a stochastic control problem. Zbl 1205.93162
Buckdahn, Rainer; Cannarsa, Piermarco; Quincampoix, Marc
2010
Minkowski content for reachable sets. Zbl 1190.28002
Cannarsa, Piermarco; Czarnecki, Marc-Olivier
2010
A general method for proving sharp energy decay rates for memory-dissipative evolution equations. Zbl 1179.35058
Alabau-Boussouira, Fatiha; Cannarsa, Piermarco
2009
Singular dynamics for semiconcave functions. Zbl 1194.35015
Cannarsa, Piermarco; Yu, Yifeng
2009
Carleman estimates and null controllability for boundary-degenerate parabolic operators. Zbl 1162.35330
Cannarsa, Piermarco; Martinez, Partick; Vancostenoble, Judith
2009
Controllability of 1-D coupled degenerate parabolic equations. Zbl 1178.35216
Cannarsa, Piermarco; de Teresa, Luz
2009
On a differential model for growing sandpiles with non-regular sources. Zbl 1190.35131
Cannarsa, Piermarco; Cardaliaguet, Pierre; Sinestrari, Carlo
2009
Existence and Lipschitz regularity of solutions to Bolza problems in optimal control. Zbl 1169.49001
Cannarsa, P.; Frankowska, H.; Marchini, E. M.
2009
On Bolza optimal control problems with constraints. Zbl 1161.49016
Cannarsa, Piermarco; Frankowska, Hélène; Marchini, Elsa M.
2009
Decay estimates for second order evolution equations with memory. Zbl 1145.35025
Alabau-Boussouira, Fatiha; Cannarsa, Piermarco; Sforza, Daniela
2008
Carleman estimates for a class of degenerate parabolic operators. Zbl 1168.35025
Cannarsa, P.; Martinez, P.; Vancostenoble, J.
2008
Controllability results for a class of one-dimensional degenerate parabolic problems in nondivergence form. Zbl 1176.35108
Cannarsa, Piermarco; Fragnelli, Genni; Rocchetti, Dario
2008
Semiconcavity results for optimal control problems admitting no singular minimizing controls. Zbl 1145.49022
Cannarsa, P.; Rifford, L.
2008
Generation of analytic semi-groups in $$L^2$$ for a class of second order degenerate elliptic operators. Zbl 1187.47032
Cannarsa, Piermarco; Rocchetti, Dario; Vancostenoble, Judith
2008
A stability result for a class of nonlinear integrodifferential equations with $$L^1$$ kernels. Zbl 1163.45009
Cannarsa, Piermarco; Sforza, Daniela
2008
Lipschitz continuity and local semiconcavity for exit time problems with state constraints. Zbl 1225.49035
Cannarsa, Piermarco; Castelpietra, Marco
2008
Regularity properties of attainable sets under state constraints. Zbl 1206.49038
Cannarsa, P.; Castelpietra, M.; Cardaliaguet, P.
2008
Null controllability of degenerate parabolic operators with drift. Zbl 1140.93011
Cannarsa, Piermarco; Fragnelli, Genni; Rocchetti, Dario
2007
Hölder regularity of the normal distance with an application to a PDE model for growing sandpiles. Zbl 1115.58015
Cannarsa, P.; Cardaliaguet, P.; Giorgieri, E.
2007
Carleman estimates for degenerate parabolic operators with applications to null controllability. Zbl 1103.35052
Alabau-Boussouira, F.; Cannarsa, P.; Fragnelli, G.
2006
Regional controllability of semilinear degenerate parabolic equations in bounded domains. Zbl 1177.93016
Cannarsa, P.; Fragnelli, G.; Vancostenoble, J.
2006
Interior sphere property of attainable sets and time optimal control problems. Zbl 1105.93007
Cannarsa, Piermarco; Frankowska, Hélène
2006
Null controllability of semilinear degenerate parabolic equations in bounded domains. Zbl 1112.35335
Cannarsa, Piermarco; Fragnelli, Genni
2006
Linear degenerate parabolic equations in bounded domains: controllability and observability. Zbl 1214.93021
Cannarsa, P.; Fragnelli, G.; Vancostenoble, J.
2006
Perimeter estimates for reachable sets of control systems. Zbl 1114.93018
Cannarsa, Piermarco; Cardaliaguet, Pierre
2006
...and 76 more Documents
all top 5

### Cited by 1,354 Authors

 83 Cannarsa, Piermarco 34 Frankowska, Hélène 19 Cardaliaguet, Pierre 18 Mustafa, Muhammad Islam 16 Crasta, Graziano 16 Gozzi, Fausto 15 Albano, Paolo 15 Rifford, Ludovic 15 Vancostenoble, Judith 14 Cheng, Wei 14 Fragnelli, Genni 14 Maniar, Lahcen 13 Da Prato, Giuseppe 12 Cavalcanti, Marcelo Moreira 12 Hernández, Eduardo M. 11 Figalli, Alessio 11 Lasiecka, Irena 11 Martinez, Patrick 11 Nour, Chadi 10 Alabau-Boussouira, Fatiha 10 Beauchard, Karine 10 Du, Runmei 10 Mahmudov, Elimhan Nadir 10 Yan, Jun 9 Fragalà, Ilaria 9 Messaoudi, Salim A. 9 Nguyen, Khai T. 9 Wang, Kaizhi 9 Yamamoto, Masahiro 9 Zuazua, Enrique 8 Domingos Cavalcanti, Valéria Neves 8 Floridia, Giuseppe 8 Guesmia, Aissa 8 Kamynin, Vitaly Leonidovich 8 Nicaise, Serge 8 O’Regan, Donal 8 Pignotti, Cristina 8 Strömberg, Thomas 8 Trélat, Emmanuel 8 Wehbe, Ali 8 Xiao, Ti-Jun 7 Cui, Xiaojun 7 Feng, Baowei 7 Jin, Kunpeng 7 Kunisch, Karl 7 Lee, Paul W. Y. 7 Li, Fushan 7 Liu, Wenjun 7 Marigonda, Antonio 7 Mazzola, Marco 7 Motta, Monica 7 Nguyen, Luong V. 7 Sinestrari, Carlo 7 Stern, Ronald Jay 7 Wang, Chunpeng 6 Al-Mahdi, Adel M. 6 Basco, Vincenzo 6 Benaissa, Abbes 6 Boukhatem, Yamna 6 Buckdahn, Rainer 6 Cârjă, Ovidiu 6 Clarke, Francis H. 6 Colombo, Giovanni 6 Deng, Zuicha 6 Fathi, Albert 6 Federico, Salvatore 6 Igbida, Noureddine 6 Jin, Liang 6 Jorge da Silva, Marcio Antonio 6 Krylov, Nicolaĭ Vladimirovich 6 Ley, Olivier 6 Liang, Jin 6 Malusa, Annalisa 6 Priola, Enrico 6 Scarinci, Teresa 6 Schnaubelt, Roland 6 Soga, Kohei 6 Takche, Jean 6 Vespri, Vincenzo Riccardo 6 Yang, Liu 6 Zhou, Jianjun 5 Agrachev, Andreĭ Aleksandrovich 5 Algharabli, Mohammad M. 5 Bardi, Martino 5 Boulaaras, Salah Mahmoud 5 Campanato, Sergio 5 Cerrai, Sandra 5 Davini, Andrea 5 Fernández-Cara, Enrique 5 Fu, Xianlong 5 Goldys, Beniamin 5 Kafini, Mohammad Mustafa 5 Kang, Jum-Ran 5 Khemmoudj, Ammar 5 Lorenz, Thomas 5 Mannucci, Paola 5 Marchi, Claudio 5 Metafune, Giorgio 5 Morancey, Morgan 5 Porretta, Alessio ...and 1,254 more Authors
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### Cited in 269 Serials

 68 Journal of Differential Equations 65 Journal of Mathematical Analysis and Applications 45 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 43 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 39 SIAM Journal on Control and Optimization 32 Calculus of Variations and Partial Differential Equations 28 ZAMP. Zeitschrift für angewandte Mathematik und Physik 28 Applied Mathematics and Optimization 26 NoDEA. Nonlinear Differential Equations and Applications 23 Journal of Optimization Theory and Applications 21 Systems & Control Letters 21 Discrete and Continuous Dynamical Systems 20 Communications in Partial Differential Equations 20 Journal of Dynamical and Control Systems 18 Archive for Rational Mechanics and Analysis 18 Journal of Functional Analysis 18 Journal of Evolution Equations 17 SIAM Journal on Mathematical Analysis 17 Mathematical Control and Related Fields 16 Transactions of the American Mathematical Society 16 Comptes Rendus. Mathématique. Académie des Sciences, Paris 15 Applicable Analysis 15 Proceedings of the American Mathematical Society 15 Acta Applicandae Mathematicae 14 Journal de Mathématiques Pures et Appliquées. Neuvième Série 14 Evolution Equations and Control Theory 13 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 13 Discrete and Continuous Dynamical Systems. Series S 12 Journal of Mathematical Sciences (New York) 10 Annali di Matematica Pura ed Applicata. Serie Quarta 10 Nonlinear Analysis. Real World Applications 10 Set-Valued and Variational Analysis 9 Journal of Mathematical Physics 9 Discrete and Continuous Dynamical Systems. Series B 9 Communications on Pure and Applied Analysis 8 Applied Mathematics and Computation 8 Journal of Convex Analysis 7 Communications in Mathematical Physics 7 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV 7 Czechoslovak Mathematical Journal 7 MCSS. Mathematics of Control, Signals, and Systems 7 Stochastic Processes and their Applications 7 European Journal of Control 7 Boundary Value Problems 6 Advances in Mathematics 6 Journal of Mathematical Economics 6 Manuscripta Mathematica 6 Rendiconti del Seminario Matematico della Università di Padova 6 Semigroup Forum 6 Stochastic Analysis and Applications 6 Optimization 6 Applied Mathematics Letters 6 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 6 Abstract and Applied Analysis 6 Nonlinear Analysis. Theory, Methods & Applications 5 Mathematical Methods in the Applied Sciences 5 Automatica 5 Rendiconti del Circolo Matemàtico di Palermo. Serie II 5 Journal of Integral Equations and Applications 5 Journal of Global Optimization 5 Journal of the European Mathematical Society (JEMS) 5 Mediterranean Journal of Mathematics 5 Advances in Difference Equations 5 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 5 Advances in Nonlinear Analysis 5 Séminaire Laurent Schwartz. EDP et Applications 5 Minimax Theory and its Applications 4 Computers & Mathematics with Applications 4 Communications on Pure and Applied Mathematics 4 Inverse Problems 4 Mathematics of Computation 4 Annales de l’Institut Fourier 4 SIAM Journal on Numerical Analysis 4 Chinese Annals of Mathematics. Series B 4 Journal of Scientific Computing 4 The Journal of Geometric Analysis 4 Applied Mathematical Modelling 4 Russian Mathematics 4 Set-Valued Analysis 4 Electronic Journal of Differential Equations (EJDE) 4 Journal of Inverse and Ill-Posed Problems 4 Acta Mathematica Sinica. English Series 4 Science China. Mathematics 4 Dynamic Games and Applications 4 AIMS Mathematics 3 International Journal of Control 3 Israel Journal of Mathematics 3 Journal d’Analyse Mathématique 3 Journal of the Franklin Institute 3 Mathematical Notes 3 Inventiones Mathematicae 3 Mathematische Annalen 3 Mathematische Zeitschrift 3 Memoirs of the American Mathematical Society 3 Acta Mathematica Hungarica 3 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni 3 Computational Mathematics and Mathematical Physics 3 Advances in Computational Mathematics 3 Mathematical Population Studies 3 Finance and Stochastics ...and 169 more Serials
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### Cited in 49 Fields

 851 Partial differential equations (35-XX) 420 Calculus of variations and optimal control; optimization (49-XX) 379 Systems theory; control (93-XX) 134 Operator theory (47-XX) 112 Ordinary differential equations (34-XX) 110 Mechanics of deformable solids (74-XX) 94 Probability theory and stochastic processes (60-XX) 79 Numerical analysis (65-XX) 68 Dynamical systems and ergodic theory (37-XX) 66 Real functions (26-XX) 60 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 53 Differential geometry (53-XX) 49 Integral equations (45-XX) 42 Operations research, mathematical programming (90-XX) 38 Functional analysis (46-XX) 31 Fluid mechanics (76-XX) 29 Mechanics of particles and systems (70-XX) 25 Global analysis, analysis on manifolds (58-XX) 24 Biology and other natural sciences (92-XX) 20 Measure and integration (28-XX) 20 Convex and discrete geometry (52-XX) 9 Harmonic analysis on Euclidean spaces (42-XX) 8 Statistical mechanics, structure of matter (82-XX) 7 Computer science (68-XX) 6 Functions of a complex variable (30-XX) 6 Difference and functional equations (39-XX) 6 Approximations and expansions (41-XX) 6 Classical thermodynamics, heat transfer (80-XX) 5 General topology (54-XX) 4 Special functions (33-XX) 4 Optics, electromagnetic theory (78-XX) 4 Quantum theory (81-XX) 4 Relativity and gravitational theory (83-XX) 3 Several complex variables and analytic spaces (32-XX) 3 Algebraic topology (55-XX) 2 General and overarching topics; collections (00-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Topological groups, Lie groups (22-XX) 2 Geometry (51-XX) 2 Statistics (62-XX) 2 Information and communication theory, circuits (94-XX) 1 Mathematical logic and foundations (03-XX) 1 Combinatorics (05-XX) 1 Number theory (11-XX) 1 Group theory and generalizations (20-XX) 1 Sequences, series, summability (40-XX) 1 Abstract harmonic analysis (43-XX) 1 Integral transforms, operational calculus (44-XX) 1 Geophysics (86-XX)

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