Edit Profile (opens in new tab) Cannarsa, Piermarco Co-Author Distance Author ID: cannarsa.piermarco Published as: Cannarsa, Piermarco; Cannarsa, P. External Links: MGP · ORCID · Wikidata · GND · IdRef · theses.fr Documents Indexed: 212 Publications since 1980, including 5 Books and 14 Additional arXiv Preprints 6 Contributions as Editor Reviewing Activity: 8 Reviews Co-Authors: 92 Co-Authors with 210 Joint Publications 2,639 Co-Co-Authors all top 5 Co-Authors 8 single-authored 25 Da Prato, Giuseppe 21 Frankowska, Hélène 16 Martinez, Patrick 16 Vancostenoble, Judith 15 Cheng, Wei 14 Albano, Paolo 13 Sinestrari, Carlo 12 Alabau-Boussouira, Fatiha 10 Cardaliaguet, Pierre 9 Yamamoto, Masahiro 8 Mendico, Cristian 8 Urbani, Cristina 7 Tessitore, Maria Elisabetta 7 Vespri, Vincenzo Riccardo 6 Fragnelli, Genni 6 Sforza, Daniela 5 Basco, Vincenzo 5 Floridia, Giuseppe 5 Komornik, Vilmos 5 Nguyen, Khai T. 5 Scarinci, Teresa 5 Soner, Halil Mete 5 Wang, Kaizhi 4 Ancona, Fabio 4 Beauchard, Karine 4 Khapalov, Alexander Yuri 4 Marchini, Elsa Maria 4 Wolenski, Peter R. 4 Zolésio, Jean-Paul 3 Capuani, Rossana 3 Gozzi, Fausto 3 Guglielmi, Roberto 3 Loreti, Paola 3 Quincampoix, Marc 3 Rocchetti, Dario 2 Ambrosio, Luigi 2 Campanato, Sergio 2 Castelpietra, Marco 2 D’Aprile, Teresa 2 Di Blasio, Gabriella 2 Doubova, Anna 2 Fathi, Albert 2 Giorgieri, Elena 2 Marino, Francesco Pio 2 Mazzola, Marco 2 Pignotti, Cristina 2 Tort, Jacques 2 Yan, Jun 1 Alberti, Giovanni 1 Antonelli, Paolo 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 Duca, Alessandro 1 Ferretti, Roberto Giorgio 1 Gaubert, Stéphane 1 Gazzola, Filippo 1 Giannini, Massimo 1 Golgeleyen, Fikret 1 Hong, Jiahui 1 Jensen, Reed 1 Jin, Liang 1 Jones, Christopher K. R. T. 1 Leugering, Günter 1 Lucarini, Valerio 1 Malfitana, Martina 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 Shakarov, Boris 1 Sinestari, C. 1 Terreni, Brunello 1 Yu, Yifeng 1 Zhang, Qi all top 5 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 SIAM Journal on Mathematical Analysis 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 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 Dynamics and Differential Equations 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 all top 5 Fields 122 Partial differential equations (35-XX) 95 Calculus of variations and optimal control; optimization (49-XX) 64 Systems theory; control (93-XX) 21 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 Special functions (33-XX) 6 Integral equations (45-XX) 4 Measure and integration (28-XX) 4 Differential geometry (53-XX) 4 Global analysis, analysis on manifolds (58-XX) 4 Mechanics of deformable solids (74-XX) 3 Functions of a complex variable (30-XX) 3 Fluid mechanics (76-XX) 3 Geophysics (86-XX) 3 Operations research, mathematical programming (90-XX) 3 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 2 Algebraic topology (55-XX) 2 Numerical analysis (65-XX) 1 Potential theory (31-XX) 1 Approximations and expansions (41-XX) 1 Harmonic analysis on Euclidean spaces (42-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) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 184 Publications have been cited 3,311 times in 1,626 Documents Cited by ▼ Year ▼ Semiconcave functions, Hamilton-Jacobi equations, and optimal control. Zbl 1095.49003 Cannarsa, Piermarco; Sinestrari, Carlo 444 2004 Decay estimates for second order evolution equations with memory. Zbl 1145.35025 Alabau-Boussouira, Fatiha; Cannarsa, Piermarco; Sforza, Daniela 151 2008 Carleman estimates for a class of degenerate parabolic operators. Zbl 1168.35025 Cannarsa, P.; Martinez, P.; Vancostenoble, J. 127 2008 Carleman estimates for degenerate parabolic operators with applications to null controllability. Zbl 1103.35052 Alabau-Boussouira, F.; Cannarsa, P.; Fragnelli, G. 120 2006 A general method for proving sharp energy decay rates for memory-dissipative evolution equations. Zbl 1179.35058 Alabau-Boussouira, Fatiha; Cannarsa, Piermarco 117 2009 Null controllability of degenerate heat equations. Zbl 1145.35408 Cannarsa, P.; Martinez, P.; Vancostenoble, J. 96 2005 Indirect internal stabilization of weakly coupled evolution equations. Zbl 1011.35018 Alabau, Fatiha; Cannarsa, Piermarco; Komornik, Vilmos 81 2002 Persistent regional null controllability for a class of degenerate parabolic equations. Zbl 1063.35092 Cannarsa, Piermarco; Martinez, Patrick; Vancostenoble, Judith 62 2004 Some characterizations of optimal trajectories in control theory. Zbl 0744.49011 Cannarsa, Piermarco; Frankowska, Halina 62 1991 Global Carleman estimates for degenerate parabolic operators with applications. Zbl 1328.35114 Cannarsa, Piermarco; Martinez, Patrick; Vancostenoble, Judith 57 2016 Convexity properties of the minimum time function. Zbl 0836.49013 Cannarsa, Piermarco; Sinestrari, Carlo 54 1995 Null controllability of Grushin-type operators in dimension two. Zbl 1293.35148 Beauchard, Karine; Cannarsa, Piermarco; Guglielmi, Roberto 51 2014 Controllability results for a class of one-dimensional degenerate parabolic problems in nondivergence form. Zbl 1176.35108 Cannarsa, Piermarco; Fragnelli, Genni; Rocchetti, Dario 47 2008 On the singularities of convex functions. Zbl 0784.49011 Alberti, G.; Ambrosio, L.; Cannarsa, P. 43 1992 Determination of source terms in a degenerate parabolic equation. Zbl 1200.35319 Cannarsa, P.; Tort, J.; Yamamoto, M. 42 2010 Global solutions of abstract semilinear parabolic equations with memory terms. Zbl 1052.35085 Cannarsa, Piermarco; Sforza, Daniela 41 2003 Null controllability of degenerate parabolic operators with drift. Zbl 1140.93011 Cannarsa, Piermarco; Fragnelli, Genni; Rocchetti, Dario 41 2007 Integro-differential equations of hyperbolic type with positive definite kernels. Zbl 1218.45010 Cannarsa, Piermarco; Sforza, Daniela 38 2011 Propagation of singularities for solutions of nonlinear first order partial differential equations. Zbl 1043.35052 Albano, Paolo; Cannarsa, Piermarco 37 2002 On maximal \(L^ p\) regularity for the abstract Cauchy problem. Zbl 0608.35027 Cannarsa, Piermarco; Vespri, Vincenzo 34 1986 Regional controllability of semilinear degenerate parabolic equations in bounded domains. Zbl 1177.93016 Cannarsa, P.; Fragnelli, G.; Vancostenoble, J. 33 2006 Singular dynamics for semiconcave functions. Zbl 1194.35015 Cannarsa, Piermarco; Yu, Yifeng 32 2009 Null controllability of semilinear degenerate parabolic equations in bounded domains. Zbl 1112.35335 Cannarsa, Piermarco; Fragnelli, Genni 31 2006 Second-order Hamilton-Jacobi equations in infinite dimensions. Zbl 0737.49020 Cannarsa, Piermarco; da Prato, Giuseppe 31 1991 Controllability of 1-D coupled degenerate parabolic equations. Zbl 1178.35216 Cannarsa, Piermarco; de Teresa, Luz 31 2009 Representation of equilibrium solutions to the table problem for growing sandpiles. Zbl 1084.35015 Cannarsa, Piermarco; Cardaliaguet, Pierre 30 2004 Structural properties of singularities of semiconcave functions. Zbl 0957.26002 Albano, Paolo; Cannarsa, Piermarco 29 1999 Interior sphere property of attainable sets and time optimal control problems. Zbl 1105.93007 Cannarsa, Piermarco; Frankowska, Hélène 29 2006 The cost of controlling weakly degenerate parabolic equations by boundary controls. Zbl 1360.35104 Cannarsa, Piermarco; Martinez, Patrick; Vancostenoble, Judith 29 2017 Singular gradient flow of the distance function and homotopy equivalence. Zbl 1270.35012 Albano, P.; Cannarsa, P.; Nguyen, Khai T.; Sinestrari, C. 28 2013 Carleman estimates and null controllability for boundary-degenerate parabolic operators. Zbl 1162.35330 Cannarsa, Piermarco; Martinez, Partick; Vancostenoble, Judith 27 2009 Regularity results for solutions of a class of Hamilton-Jacobi equations. Zbl 0901.70013 Cannarsa, Piermarco; Mennucci, Andrea; Sinestrari, Carlo 26 1997 Existence and uniqueness for mean field games with state constraints. Zbl 1419.49047 Cannarsa, Piermarco; Capuani, Rossana 24 2018 Generalized one-sided estimates for solutions of Hamilton-Jacobi equations and applications. Zbl 0681.49030 Cannarsa, Piermarco; Soner, Halil Mete 23 1989 Semiconcavity results for optimal control problems admitting no singular minimizing controls. Zbl 1145.49022 Cannarsa, P.; Rifford, L. 23 2008 On the propagation of singularities of semi-convex functions. Zbl 0874.49041 Ambrosio, L.; Cannarsa, P.; Soner, H. M. 22 1993 Generation of analytic semigroups by elliptic operators with unbounded coefficients. Zbl 0623.47039 Cannarsa, Piermarco; Vespri, Vincenzo 22 1987 Control and stabilization of degenerate wave equations. Zbl 1373.35185 Alabau-Boussouira, Fatiha; Cannarsa, Piermarco; Leugering, Günter 22 2017 Multiplicative controllability for semilinear reaction-diffusion equations with finitely many changes of sign. Zbl 1370.93140 Cannarsa, Piermarco; Floridia, Giuseppe; Khapalov, Alexander Y. 22 2017 Herglotz’ generalized variational principle and contact type Hamilton-Jacobi equations. Zbl 1428.35087 Cannarsa, Piermarco; Cheng, Wei; Wang, Kaizhi; Yan, Jun 22 2019 Unique continuation and approximate controllability for a degenerate parabolic equation. Zbl 1248.35034 Cannarsa, Piermarco; Tort, Jacques; Yamamoto, Masahiro 20 2012 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. 20 1981 Value function and optimality conditions for semilinear control problems. Zbl 0765.49001 Cannarsa, Piermarco; Frankowska, Halina 20 1992 Multiplicative controllability for reaction-diffusion equations with target states admitting finitely many changes of sign. Zbl 1219.93010 Cannarsa, Piermarco; Khapalov, Alexander 18 2010 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. 18 2005 Heat equation on the Heisenberg group: observability and applications. Zbl 1366.35206 Beauchard, K.; Cannarsa, P. 18 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 18 2017 Herglotz’ variational principle and Lax-Oleinik evolution. Zbl 1450.37058 Cannarsa, Piermarco; Cheng, Wei; Jin, Liang; Wang, Kaizhi; Yan, Jun 18 2020 Generation of analytic semigroups in the \(L^ p\) topology by elliptic operators in \({\mathbb{R}}^ n\). Zbl 0669.35026 Cannarsa, Piermarco; Vespri, Vincenzo 17 1988 On the singularities of the viscosity solutions to Hamilton-Jacobi- Bellman equations. Zbl 0612.70016 Cannarsa, Piermarco; Soner, Halil Mete 17 1987 Direct solution of a second order Hamilton-Jacobi equation in Hilbert spaces. Zbl 0805.49016 Cannarsa, P.; Da Prato, G. 17 1992 Optimality conditions and synthesis for the minimum time problem. Zbl 0988.49010 Cannarsa, Piermarco; Frankowska, Hélène; Sinestrari, Carlo 15 2000 The damped wave equation in a moving domain. Zbl 0786.35089 Cannarsa, Piermarco; Da Prato, Giuseppe; Zolesio, Jean-Paul 15 1990 Mean field games with state constraints: from mild to pointwise solutions of the PDE system. Zbl 1467.49023 Cannarsa, Piermarco; Capuani, Rossana; Cardaliaguet, Pierre 15 2021 Inverse source problem and null controllability for multidimensional parabolic operators of Grushin type. Zbl 1286.35260 Beauchard, K.; Cannarsa, P.; Yamamoto, M. 15 2014 Semilinear integrodifferential equations of hyperbolic type: existence in the large. Zbl 1072.45009 Sforza, Daniela; Cannarsa, Piermarco 14 2004 On the Bellman equation for the minimum time problem in infinite dimensions. Zbl 1095.49023 Cannarsa, Piermarco; Cârjă, Ovidiu 14 2004 Null controllability of the heat equation in unbounded domains by a finite measure control region. Zbl 1091.93011 Cannarsa, Piermarco; Martinez, Patrick; Vancostenoble, Judith 14 2004 Indirect stabilization of weakly coupled systems with hybrid boundary conditions. Zbl 1241.93038 Alabau-Boussouira, Fatiha; Cannarsa, Piermarco; Guglielmi, Roberto 14 2011 Approximate multiplicative controllability for degenerate parabolic problems with Robin boundary conditions. Zbl 1329.93029 Cannarsa, Piermarco; Floridia, Giuseppe 14 2011 Singularities of semiconcave functions in Banach spaces. Zbl 0923.49010 Albano, Paolo; Cannarsa, Piermarco 13 1999 Linear degenerate parabolic equations in bounded domains: controllability and observability. Zbl 1214.93021 Cannarsa, P.; Fragnelli, G.; Vancostenoble, J. 13 2006 Generalized characteristics and Lax-Oleinik operators: global theory. Zbl 1378.35078 Cannarsa, Piermarco; Cheng, Wei 13 2017 Inverse coefficient problems for a transport equation by local Carleman estimate. Zbl 1427.35033 Cannarsa, P.; Floridia, Giuseppe; Gölgeleyen, F.; Yamamoto, M. 13 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 13 2019 Infinite-dimensional elliptic equations with Hölder-continuous coefficients. Zbl 0926.35153 Cannarsa, Piermarco; Da Prato, Giuseppe 12 1996 Hölder estimates in space-time for viscosity solutions of Hamilton-Jacobi equations. Zbl 1206.35052 Cannarsa, Piermarco; Cardaliaguet, Pierre 12 2010 Semiconcavity for optimal control problems with exit time. Zbl 1009.49024 Cannarsa, Piermarco; Pignotti, Cristina; Sinestrari, Carlo 12 2000 A boundary-value problem for Hamilton-Jacobi equations in Hilbert spaces. Zbl 0745.49025 Cannarsa, Piermarco; Gozzi, Fausto; Soner, Halil Mete 12 1991 Infinite-dimensional Hamilton-Jacobi equations and Dirichlet boundary control problems of parabolic type. Zbl 0880.49029 Cannarsa, Piermarco; Tessitore, Maria Elisabetta 12 1996 From pointwise to local regularity for solutions of Hamilton-Jacobi equations. Zbl 1288.35144 Cannarsa, P.; Frankowska, H. 12 2014 On a differential model for growing sandpiles with non-regular sources. Zbl 1190.35131 Cannarsa, Piermarco; Cardaliaguet, Pierre; Sinestrari, Carlo 11 2009 A dynamic programming approach to nonlinear boundary control problems of parabolic type. Zbl 0823.49017 Cannarsa, Piermarco; Gozzi, Fausto; Soner, Halil Mete 11 1993 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 11 2008 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. 11 2015 Optimality conditions and regularity results for time optimal control problems with differential inclusions. Zbl 1331.49031 Cannarsa, Piermarco; Marigonda, Antonio; Nguyen, Khai T. 11 2015 Global propagation of singularities for time dependent Hamilton-Jacobi equations. Zbl 1336.35014 Cannarsa, Piermarco; Mazzola, Marco; Sinestrari, Carlo 11 2015 Vanishing discount limit and nonexpansive optimal control and differential games. Zbl 1327.49002 Cannarsa, P.; Quincampoix, M. 11 2015 Local regularity of the value function in optimal control. Zbl 1280.49056 Cannarsa, P.; Frankowska, H. 11 2013 One-sided and internal controllability of semilinear wave equations with infinitely iterated logarithms. Zbl 1005.35017 Cannarsa, Piermarco; Komornik, Vilmos; Loreti, Paola 10 2002 Some results on non-linear optimal control problems and Hamilton-Jacobi equations in infinite dimensions. Zbl 0717.49022 Cannarsa, P.; Da Prato, G. 10 1990 Value function, relaxation, and transversality conditions in infinite horizon optimal control. Zbl 1376.49016 Cannarsa, P.; Frankowska, H. 10 2018 Quantitative compactness estimates for Hamilton-Jacobi equations. Zbl 1353.35116 Ancona, Fabio; Cannarsa, Piermarco; Nguyen, Khai T. 10 2016 Mild and weak solutions of mean field game problems for linear control systems. Zbl 1454.35389 Cannarsa, Piermarco; Mendico, Cristian 10 2020 Optimal control for evolution equations with memory. Zbl 1260.49038 Cannarsa, P.; Frankowska, H.; Marchini, E. M. 10 2013 Regularity of Hamiltonian-Jacobi equations when forward is backward. Zbl 0939.35044 Barron, E. N.; Cannarsa, P.; Jensen, R.; Sinestari, C. 9 1999 Existence and Lipschitz regularity of solutions to Bolza problems in optimal control. Zbl 1169.49001 Cannarsa, P.; Frankowska, H.; Marchini, E. M. 9 2009 Evolution equations in non-cylindrical domains. Zbl 0752.35020 Cannarsa, Piermarco; Da Prato, Giuseppe; Zolésio, Jean-Paul 9 1989 Observability inequalities for transport equations through Carleman estimates. Zbl 1428.35084 Cannarsa, Piermarco; Floridia, Giuseppe; Yamamoto, Masahiro 9 2019 The cost of controlling strongly degenerate parabolic equations. Zbl 1442.93016 Cannarsa, P.; Martinez, P.; Vancostenoble, J. 9 2020 Precise estimates for biorthogonal families under asymptotic gap conditions. Zbl 1466.93017 Cannarsa, Piermarco; Martinez, Patrick; Vancostenoble, Judith 9 2020 Propagation of singularities for concave solutions of Hamilton-Jacobi equations. Zbl 0971.49018 Albano, Paolo; Cannarsa, Piermarco 8 2000 Propagation of singularities for weak KAM solutions and barrier functions. Zbl 1302.35108 Cannarsa, Piermarco; Cheng, Wei; Zhang, Qi 8 2014 Regularity results for the minimum time function with Hörmander vector fields. Zbl 1380.35057 Albano, Paolo; Cannarsa, Piermarco; Scarinci, Teresa 8 2018 Null controllability for parabolic operators with interior degeneracy and one-sided control. Zbl 1410.35076 Cannarsa, Piermarco; Ferretti, Roberto; Martinez, Patrick 8 2019 Long-time behavior of first-order mean field games on Euclidean space. Zbl 1443.91043 Cannarsa, Piermarco; Cheng, Wei; Mendico, Cristian; Wang, Kaizhi 8 2020 Superexponential stabilizability of evolution equations of parabolic type via bilinear control. Zbl 1467.35326 Alabau-Boussouira, Fatiha; Cannarsa, Piermarco; Urbani, Cristina 8 2021 Semiconcavity of the value function for a class of differential inclusions. Zbl 1211.49005 Cannarsa, Piermarco; Wolenski, Peter R. 7 2011 Value function and optimality condition for semilinear control problems. II: Parabolic case. Zbl 0862.49021 Cannarsa, P.; Frankowska, H. 7 1996 Exterior sphere condition and time optimal control for differential inclusions. Zbl 1251.49049 Cannarsa, Piermarco; Nguyen, Khai T. 7 2011 Bilinear control of a degenerate hyperbolic equation. Zbl 1527.35184 Cannarsa, Piermarco; Martinez, Patrick; Urbani, Cristina 1 2023 Weak KAM approach to first-order mean field games with state constraints. Zbl 1516.35191 Cannarsa, Piermarco; Cheng, Wei; Mendico, Cristian; Wang, Kaizhi 1 2023 Exact controllability to eigensolutions of the bilinear heat equation on compact networks. Zbl 1500.93008 Cannarsa, Piermarco; Duca, Alessandro; Urbani, Cristina 4 2022 Exact controllability to eigensolutions for evolution equations of parabolic type via bilinear control. Zbl 07535514 Alabau-Boussouira, Fatiha; Cannarsa, Piermarco; Urbani, Cristina 3 2022 The distance function in the presence of an obstacle. Zbl 1512.49018 Albano, Paolo; Basco, Vincenzo; Cannarsa, Piermarco 1 2022 Asymptotic analysis for Hamilton-Jacobi-Bellman equations on Euclidean space. Zbl 1491.35033 Cannarsa, Piermarco; Mendico, Cristian 1 2022 On the extension problem for semiconcave functions with fractional modulus. Zbl 1487.26018 Albano, Paolo; Basco, Vincenzo; Cannarsa, Piermarco 1 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 15 2021 Superexponential stabilizability of evolution equations of parabolic type via bilinear control. Zbl 1467.35326 Alabau-Boussouira, Fatiha; Cannarsa, Piermarco; Urbani, Cristina 8 2021 Singularities of solutions of time dependent Hamilton-Jacobi equations. Applications to Riemannian geometry. Zbl 1473.35104 Cannarsa, Piermarco; Cheng, Wei; Fathi, Albert 6 2021 Singularities of solutions of Hamilton-Jacobi equations. Zbl 1470.35135 Cannarsa, Piermarco; Cheng, Wei 4 2021 Local singular characteristics on \(\mathbb{R}^2\). Zbl 1472.35095 Cannarsa, Piermarco; Cheng, Wei 4 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 2 2021 Dynamic optimization for beginners. With prerequisites and applications. Zbl 1477.49001 Cannarsa, Piermarco; Gazzola, Filippo 1 2021 Herglotz’ variational principle and Lax-Oleinik evolution. Zbl 1450.37058 Cannarsa, Piermarco; Cheng, Wei; Jin, Liang; Wang, Kaizhi; Yan, Jun 18 2020 Mild and weak solutions of mean field game problems for linear control systems. Zbl 1454.35389 Cannarsa, Piermarco; Mendico, Cristian 10 2020 The cost of controlling strongly degenerate parabolic equations. Zbl 1442.93016 Cannarsa, P.; Martinez, P.; Vancostenoble, J. 9 2020 Precise estimates for biorthogonal families under asymptotic gap conditions. Zbl 1466.93017 Cannarsa, Piermarco; Martinez, Patrick; Vancostenoble, Judith 9 2020 Long-time behavior of first-order mean field games on Euclidean space. Zbl 1443.91043 Cannarsa, Piermarco; Cheng, Wei; Mendico, Cristian; Wang, Kaizhi 8 2020 Superexponential stabilizability of degenerate parabolic equations via bilinear control. Zbl 1443.35181 Cannarsa, Piermarco; Urbani, Cristina 5 2020 Domain invariance for local solutions of semilinear evolution equations in Hilbert spaces. Zbl 1454.58010 Cannarsa, Piermarco; Da Prato, Giuseppe; Frankowska, Hélène 3 2020 Generation of singularities from the initial datum for Hamilton-Jacobi equations. Zbl 1437.35153 Albano, Paolo; Cannarsa, Piermarco; Sinestrari, Carlo 2 2020 On and beyond propagation of singularities of viscosity solutions. Zbl 1460.35070 Cannarsa, Piermarco; Cheng, Wei 2 2020 Herglotz’ generalized variational principle and contact type Hamilton-Jacobi equations. Zbl 1428.35087 Cannarsa, Piermarco; Cheng, Wei; Wang, Kaizhi; Yan, Jun 22 2019 Inverse coefficient problems for a transport equation by local Carleman estimate. Zbl 1427.35033 Cannarsa, P.; Floridia, Giuseppe; Gölgeleyen, F.; Yamamoto, M. 13 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 13 2019 Observability inequalities for transport equations through Carleman estimates. Zbl 1428.35084 Cannarsa, Piermarco; Floridia, Giuseppe; Yamamoto, Masahiro 9 2019 Null controllability for parabolic operators with interior degeneracy and one-sided control. Zbl 1410.35076 Cannarsa, Piermarco; Ferretti, Roberto; Martinez, Patrick 8 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 5 2019 Dynamic and asymptotic behavior of singularities of certain weak KAM solutions on the torus. Zbl 1484.37069 Cannarsa, Piermarco; Chen, Qinbo; Cheng, Wei 5 2019 Semiconcavity results and sensitivity relations for the sub-Riemannian distance. Zbl 1419.49050 Basco, Vincenzo; Cannarsa, Piermarco; Frankowska, Hélène 1 2019 Existence and uniqueness for mean field games with state constraints. Zbl 1419.49047 Cannarsa, Piermarco; Capuani, Rossana 24 2018 Value function, relaxation, and transversality conditions in infinite horizon optimal control. Zbl 1376.49016 Cannarsa, P.; Frankowska, H. 10 2018 Regularity results for the minimum time function with Hörmander vector fields. Zbl 1380.35057 Albano, Paolo; Cannarsa, Piermarco; Scarinci, Teresa 8 2018 Necessary conditions for infinite horizon optimal control problems with state constraints. Zbl 1422.49022 Basco, Vincenzo; Cannarsa, Piermarco; Frankowska, Hélène 7 2018 Invariance for quasi-dissipative systems in Banach spaces. Zbl 06790532 Cannarsa, P.; Da Prato, G.; Frankowska, H. 5 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 3 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 1 2018 The cost of controlling weakly degenerate parabolic equations by boundary controls. Zbl 1360.35104 Cannarsa, Piermarco; Martinez, Patrick; Vancostenoble, Judith 29 2017 Control and stabilization of degenerate wave equations. Zbl 1373.35185 Alabau-Boussouira, Fatiha; Cannarsa, Piermarco; Leugering, Günter 22 2017 Multiplicative controllability for semilinear reaction-diffusion equations with finitely many changes of sign. Zbl 1370.93140 Cannarsa, Piermarco; Floridia, Giuseppe; Khapalov, Alexander Y. 22 2017 Heat equation on the Heisenberg group: observability and applications. Zbl 1366.35206 Beauchard, K.; Cannarsa, P. 18 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 18 2017 Generalized characteristics and Lax-Oleinik operators: global theory. Zbl 1378.35078 Cannarsa, Piermarco; Cheng, Wei 13 2017 Global Carleman estimates for degenerate parabolic operators with applications. Zbl 1328.35114 Cannarsa, Piermarco; Martinez, Patrick; Vancostenoble, Judith 57 2016 Quantitative compactness estimates for Hamilton-Jacobi equations. Zbl 1353.35116 Ancona, Fabio; Cannarsa, Piermarco; Nguyen, Khai T. 10 2016 Compactness estimates for Hamilton-Jacobi equations depending on space. Zbl 1353.35117 Ancona, Fabio; Cannarsa, Piermarco; Nguyen, Khai T. 7 2016 Source reconstruction by partial measurements for a class of hyperbolic systems in cascade. Zbl 1366.93044 Alabau-Boussouira, Fatiha; Cannarsa, Piermarco; Yamamoto, Masahiro 2 2016 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. 11 2015 Optimality conditions and regularity results for time optimal control problems with differential inclusions. Zbl 1331.49031 Cannarsa, Piermarco; Marigonda, Antonio; Nguyen, Khai T. 11 2015 Global propagation of singularities for time dependent Hamilton-Jacobi equations. Zbl 1336.35014 Cannarsa, Piermarco; Mazzola, Marco; Sinestrari, Carlo 11 2015 Vanishing discount limit and nonexpansive optimal control and differential games. Zbl 1327.49002 Cannarsa, P.; Quincampoix, M. 11 2015 Conjugate times and regularity of the minimum time function with differential inclusions. Zbl 1329.49065 Cannarsa, Piermarco; Scarinci, Teresa 7 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 7 2015 Sensitivity relations for the Mayer problem with differential inclusions. Zbl 1319.49036 Cannarsa, Piermarco; Frankowska, Hélène; Scarinci, Teresa 6 2015 Homoclinic orbits and critical points of barrier functions. Zbl 1335.37044 Cannarsa, Piermarco; Cheng, Wei 5 2015 Introduction to measure theory and functional analysis. Translated from the Italian by the authors. Zbl 1329.28003 Cannarsa, Piermarco; D’Aprile, Teresa 4 2015 Null controllability of Grushin-type operators in dimension two. Zbl 1293.35148 Beauchard, Karine; Cannarsa, Piermarco; Guglielmi, Roberto 51 2014 Inverse source problem and null controllability for multidimensional parabolic operators of Grushin type. Zbl 1286.35260 Beauchard, K.; Cannarsa, P.; Yamamoto, M. 15 2014 From pointwise to local regularity for solutions of Hamilton-Jacobi equations. Zbl 1288.35144 Cannarsa, P.; Frankowska, H. 12 2014 Propagation of singularities for weak KAM solutions and barrier functions. Zbl 1302.35108 Cannarsa, Piermarco; Cheng, Wei; Zhang, Qi 8 2014 Null controllability in large time for the parabolic Grushin operator with singular potential. Zbl 1291.93036 Cannarsa, Piermarco; Guglielmi, Roberto 6 2014 Inverse coefficient problem for Grushin-type parabolic operators. Zbl 1394.35575 Beauchard, Karine; Cannarsa, Piermarco 1 2014 Singular gradient flow of the distance function and homotopy equivalence. Zbl 1270.35012 Albano, P.; Cannarsa, P.; Nguyen, Khai T.; Sinestrari, C. 28 2013 Local regularity of the value function in optimal control. Zbl 1280.49056 Cannarsa, P.; Frankowska, H. 11 2013 Optimal control for evolution equations with memory. Zbl 1260.49038 Cannarsa, P.; Frankowska, H.; Marchini, E. M. 10 2013 The dual arc inclusion with differential inclusions. Zbl 1257.49007 Cannarsa, Piermarco; Marino, Francesco; Wolenski, Peter 5 2013 A constructive proof of Gibson’s stability theorem. Zbl 1287.47033 Alabau-Boussouira, Fatiha; Cannarsa, Piermarco 1 2013 Unique continuation and approximate controllability for a degenerate parabolic equation. Zbl 1248.35034 Cannarsa, Piermarco; Tort, Jacques; Yamamoto, Masahiro 20 2012 Semiconcavity of the minimum time function for differential inclusions. Zbl 1263.49020 Cannarsa, Piermarco; Marino, Francesco; Wolenski, Peter 5 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 1 2012 Regularity results for eikonal-type equations with nonsmooth coefficients. Zbl 1254.49022 Cannarsa, Piermarco; Cardaliaguet, Pierre 1 2012 Invariance for stochastic reaction-diffusion equations. Zbl 1262.60057 Cannarsa, Piermarco; Da Prato, Giuseppe 1 2012 Integro-differential equations of hyperbolic type with positive definite kernels. Zbl 1218.45010 Cannarsa, Piermarco; Sforza, Daniela 38 2011 Indirect stabilization of weakly coupled systems with hybrid boundary conditions. Zbl 1241.93038 Alabau-Boussouira, Fatiha; Cannarsa, Piermarco; Guglielmi, Roberto 14 2011 Approximate multiplicative controllability for degenerate parabolic problems with Robin boundary conditions. Zbl 1329.93029 Cannarsa, Piermarco; Floridia, Giuseppe 14 2011 Semiconcavity of the value function for a class of differential inclusions. Zbl 1211.49005 Cannarsa, Piermarco; Wolenski, Peter R. 7 2011 Exterior sphere condition and time optimal control for differential inclusions. Zbl 1251.49049 Cannarsa, Piermarco; Nguyen, Khai T. 7 2011 Stochastic viability for regular closed sets in Hilbert spaces. Zbl 1239.60054 Cannarsa, Piermarco; Da Prato, Giuseppe 5 2011 Determination of source terms in a degenerate parabolic equation. Zbl 1200.35319 Cannarsa, P.; Tort, J.; Yamamoto, M. 42 2010 Multiplicative controllability for reaction-diffusion equations with target states admitting finitely many changes of sign. Zbl 1219.93010 Cannarsa, Piermarco; Khapalov, Alexander 18 2010 Hölder estimates in space-time for viscosity solutions of Hamilton-Jacobi equations. Zbl 1206.35052 Cannarsa, Piermarco; Cardaliaguet, Pierre 12 2010 Invariant measures associated to degenerate elliptic operators. Zbl 1208.60053 Cannarsa, P.; Da Prato, G.; Frankowska, H. 7 2010 Lipschitz continuity and semiconcavity properties of the value function of a stochastic control problem. Zbl 1205.93162 Buckdahn, Rainer; Cannarsa, Piermarco; Quincampoix, Marc 4 2010 Minkowski content for reachable sets. Zbl 1190.28002 Cannarsa, Piermarco; Czarnecki, Marc-Olivier 1 2010 A general method for proving sharp energy decay rates for memory-dissipative evolution equations. Zbl 1179.35058 Alabau-Boussouira, Fatiha; Cannarsa, Piermarco 117 2009 Singular dynamics for semiconcave functions. Zbl 1194.35015 Cannarsa, Piermarco; Yu, Yifeng 32 2009 Controllability of 1-D coupled degenerate parabolic equations. Zbl 1178.35216 Cannarsa, Piermarco; de Teresa, Luz 31 2009 Carleman estimates and null controllability for boundary-degenerate parabolic operators. Zbl 1162.35330 Cannarsa, Piermarco; Martinez, Partick; Vancostenoble, Judith 27 2009 On a differential model for growing sandpiles with non-regular sources. Zbl 1190.35131 Cannarsa, Piermarco; Cardaliaguet, Pierre; Sinestrari, Carlo 11 2009 Existence and Lipschitz regularity of solutions to Bolza problems in optimal control. Zbl 1169.49001 Cannarsa, P.; Frankowska, H.; Marchini, E. M. 9 2009 On Bolza optimal control problems with constraints. Zbl 1161.49016 Cannarsa, Piermarco; Frankowska, Hélène; Marchini, Elsa M. 5 2009 Decay estimates for second order evolution equations with memory. Zbl 1145.35025 Alabau-Boussouira, Fatiha; Cannarsa, Piermarco; Sforza, Daniela 151 2008 Carleman estimates for a class of degenerate parabolic operators. Zbl 1168.35025 Cannarsa, P.; Martinez, P.; Vancostenoble, J. 127 2008 Controllability results for a class of one-dimensional degenerate parabolic problems in nondivergence form. Zbl 1176.35108 Cannarsa, Piermarco; Fragnelli, Genni; Rocchetti, Dario 47 2008 Semiconcavity results for optimal control problems admitting no singular minimizing controls. Zbl 1145.49022 Cannarsa, P.; Rifford, L. 23 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 11 2008 Lipschitz continuity and local semiconcavity for exit time problems with state constraints. Zbl 1225.49035 Cannarsa, Piermarco; Castelpietra, Marco 7 2008 A stability result for a class of nonlinear integrodifferential equations with \(L^1\) kernels. Zbl 1163.45009 Cannarsa, Piermarco; Sforza, Daniela 7 2008 Regularity properties of attainable sets under state constraints. Zbl 1206.49038 Cannarsa, P.; Castelpietra, M.; Cardaliaguet, P. 4 2008 ...and 84 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 1,603 Authors 87 Cannarsa, Piermarco 38 Frankowska, Hélène 23 Mustafa, Muhammad Islam 21 Cardaliaguet, Pierre 21 Fragnelli, Genni 19 Cheng, Wei 19 Gozzi, Fausto 16 Albano, Paolo 16 Crasta, Graziano 15 Feng, Baowei 15 Maniar, Lahcen 15 Rifford, Ludovic 15 Vancostenoble, Judith 15 Zuazua, Enrique 14 Cavalcanti, Marcelo Moreira 14 Da Prato, Giuseppe 13 Nour, Chadi 13 Salhi, Jawad 13 Yan, Jun 12 Mahmudov, Elimhan Nadir 12 Martinez, Patrick 12 Nguyen, Khai T. 12 Wang, Kaizhi 11 Algharabli, Mohammad M. 11 Figalli, Alessio 11 Hernández, Eduardo M. 11 Kamynin, Vitaly Leonidovich 11 Lasiecka, Irena 11 Messaoudi, Salim A. 11 Wang, Chunpeng 11 Yamamoto, Masahiro 10 Al-Mahdi, Adel M. 10 Alabau-Boussouira, Fatiha 10 Allal, Brahim 10 Beauchard, Karine 10 Domingos Cavalcanti, Valéria Neves 10 Du, Runmei 10 Fragalà, Ilaria 10 Jin, Kunpeng 10 Trélat, Emmanuel 10 Xiao, Ti-Jun 9 Floridia, Giuseppe 9 Kunisch, Karl 9 Marigonda, Antonio 9 Motta, Monica 9 Nicaise, Serge 9 Pignotti, Cristina 9 Strömberg, Thomas 8 Boukhatem, Yamna 8 Liang, Jin 8 Mazzola, Marco 8 O’Regan, Donal 8 Portillo Oquendo, Higidio 8 Souganidis, Panagiotis E. 8 Takche, Jean 8 Wang, Lin 8 Wehbe, Ali 7 Basco, Vincenzo 7 Cui, Xiaojun 7 Deng, Zuicha 7 Dweik, Samer 7 Federico, Salvatore 7 Fu, Xianlong 7 Jin, Liang 7 Kang, Jum-Ran 7 Krylov, Nicolaĭ Vladimirovich 7 Li, Fushan 7 Liu, Wenjun 7 Nguyen, Luong V. 7 Ouzahra, Mohamed 7 Priola, Enrico 7 Sinestrari, Carlo 7 Soga, Kohei 7 Stern, Ronald Jay 7 Yang, Liu 7 Zhao, Kai 6 Bardi, Martino 6 Benaissa, Abbes 6 Boutaayamou, Idriss 6 Buckdahn, Rainer 6 Cârjă, Ovidiu 6 Clarke, Francis H. 6 Colombo, Giovanni 6 Fathi, Albert 6 Gomes, Diogo Luís Aguiar 6 Igbida, Noureddine 6 Jorge da Silva, Marcio Antonio 6 Khemmoudj, Ammar 6 Lee, Paul W. Y. 6 Ley, Olivier 6 Lunardi, Alessandra 6 Malusa, Annalisa 6 Marchini, Elsa Maria 6 Mendico, Cristian 6 Morancey, Morgan 6 Scarinci, Teresa 6 Schnaubelt, Roland 6 Siconolfi, Antonio 6 Tcheugoué Tébou, Louis Roder 6 Thibault, Lionel ...and 1,503 more Authors all top 5 Cited in 296 Serials 74 Journal of Mathematical Analysis and Applications 73 Journal of Differential Equations 52 SIAM Journal on Control and Optimization 51 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 48 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 38 Applied Mathematics and Optimization 35 Calculus of Variations and Partial Differential Equations 34 NoDEA. Nonlinear Differential Equations and Applications 31 ZAMP. 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Mathematics 3 Israel Journal of Mathematics 3 Journal d’Analyse Mathématique 3 Journal of the Franklin Institute 3 Nonlinearity 3 Inventiones Mathematicae 3 Mathematische Zeitschrift 3 Memoirs of the American Mathematical Society ...and 196 more Serials all top 5 Cited in 49 Fields 1,059 Partial differential equations (35-XX) 511 Calculus of variations and optimal control; optimization (49-XX) 497 Systems theory; control (93-XX) 162 Operator theory (47-XX) 144 Mechanics of deformable solids (74-XX) 126 Ordinary differential equations (34-XX) 107 Probability theory and stochastic processes (60-XX) 92 Numerical analysis (65-XX) 86 Dynamical systems and ergodic theory (37-XX) 81 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 74 Real functions (26-XX) 63 Integral equations (45-XX) 62 Differential geometry (53-XX) 57 Operations research, mathematical programming (90-XX) 43 Functional analysis (46-XX) 38 Mechanics of particles and systems (70-XX) 36 Fluid mechanics (76-XX) 30 Global analysis, analysis on manifolds (58-XX) 29 Biology and other natural sciences (92-XX) 24 Measure and integration (28-XX) 24 Convex and discrete geometry (52-XX) 15 Statistical mechanics, structure of matter (82-XX) 12 Harmonic analysis on Euclidean spaces (42-XX) 9 General topology (54-XX) 9 Computer science (68-XX) 8 Difference and functional equations (39-XX) 8 Approximations and expansions (41-XX) 8 Classical thermodynamics, heat transfer (80-XX) 7 Functions of a complex variable (30-XX) 6 Quantum theory (81-XX) 5 Special functions (33-XX) 5 Optics, electromagnetic theory (78-XX) 5 Relativity and gravitational theory (83-XX) 4 Topological groups, Lie groups (22-XX) 4 Several complex variables and analytic spaces (32-XX) 4 Statistics (62-XX) 3 General and overarching topics; collections (00-XX) 3 Geometry (51-XX) 3 Algebraic topology (55-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Integral transforms, operational calculus (44-XX) 2 Manifolds and cell complexes (57-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 Sequences, series, summability (40-XX) 1 Abstract harmonic analysis (43-XX) 1 Geophysics (86-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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