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Author ID: soravia.pierpaolo Recent zbMATH articles by "Soravia, Pierpaolo"
Published as: Soravia, Pierpaolo; Soravia, P.
External Links: MGP · ORCID · Wikidata
Documents Indexed: 49 Publications since 1988, including 1 Additional arXiv Preprint
Co-Authors: 12 Co-Authors with 23 Joint Publications
322 Co-Co-Authors

Publications by Year

Citations contained in zbMATH Open

43 Publications have been cited 409 times in 278 Documents Cited by Year
\({\mathcal H}_\infty\) control of nonlinear systems: Differential games and viscosity solutions. Zbl 0926.93019
Soravia, Pierpaolo
29
1996
Numerical methods for pursuit-evasion games via viscosity solutions. Zbl 1018.49027
Bardi, Martino; Falcone, Maurizio; Soravia, Pierpaolo
26
1999
Boundary value problems for Hamilton-Jacobi equations with discontinuous Lagrangian. Zbl 1032.35055
Soravia, Pierpaolo
24
2002
On the equivalence of various weak notions of solutions of elliptic PDEs with measurable ingredients. Zbl 0885.35031
Crandall, M. G.; Kocan, M.; Soravia, P.; Świȩch, A.
24
1996
Discontinuous viscosity solutions to Dirichlet problems for Hamilton- Jacobi equations with convex Hamiltonians. Zbl 0788.49028
Soravia, Pierpaolo
22
1993
Hamilton-Jacobi equations with singular boundary conditions on a free boundary and applications to differential games. Zbl 0732.35013
Bardi, Martino; Soravia, Pierpaolo
22
1991
Generalized motion of a front propagating along its normal direction: a differential games approach. Zbl 0814.35140
Soravia, Pierpaolo
20
1994
Pursuit-evasion problems and viscosity solutions of Isaacs equations. Zbl 0786.35018
Soravia, Pierpaolo
18
1993
Pursuit-evasion games with state constraints: dynamic programming and discrete-time approximations. Zbl 1158.91323
Bardi, Martino; Koike, Shigeaki; Soravia, Pierpaolo
17
2000
Optimality principles and representation formulas for viscosity solutions of Hamilton-Jacobi equations. II. Equations of control problems with state constraints. Zbl 1007.49016
Soravia, Pierpaolo
16
1999
Optimality principles and representation formulas for viscosity solutions of Hamilton-Jacobi equations. I: Equations of unbounded and degenerate control problems without uniqueness. Zbl 0955.49016
Soravia, Pierpaolo
14
1999
Hölder continuity of the minimum-time function for \(C^ 1\)-manifold targets. Zbl 0792.93058
Soravia, P.
13
1992
Degenerate eikonal equations with discontinuous refraction index. Zbl 1105.35026
Soravia, Pierpaolo
11
2006
Fully discrete schemes for the value function of pursuit-evasion games. Zbl 0828.90147
Bardi, M.; Falcone, M.; Soravia, P.
11
1994
Lyapunov functions for infinite-dimensional systems. Zbl 1040.93062
Kocan, Maciej; Soravia, Pierpaolo
11
2002
A viscosity approach to infinite-dimensional Hamilton-Jacobi equations arising in optimal control with state constraints. Zbl 0918.49025
Kocan, Maciej; Soravia, Pierpaolo
11
1998
A comparison result for Hamilton-Jacobi equations and applications to some differential games lacking controllability. Zbl 0823.49019
Bardi, Martino; Soravia, Pierpaolo
10
1994
Optimality principles and uniqueness for Bellman equations of unbounded control problems with discontinuous running cost. Zbl 1053.49026
Garavello, Mauro; Soravia, Pierpaolo
10
2004
On differential games for infinite-dimensional systems with nonlinear, unbounded operators. Zbl 0884.90148
Kocan, Maciej; Soravia, Pierpaolo; Świȩch, Andrzej
10
1997
Phase-field theory for Fitzhugh-Nagumo-type systems. Zbl 0863.35047
Soravia, Pierpaolo; Souganidis, Panagiotis E.
10
1996
Equivalence between nonlinear \({\mathcal H}_{\infty}\) control problems and existence of viscosity solutions of Hamilton-Jacobi-Isaacs equations. Zbl 0920.93016
Soravia, P.
8
1999
Cauchy problems for noncoercive Hamilton-Jacobi-Isaacs equations with discontinuous coefficients. Zbl 1205.35042
De Zan, Cecilia; Soravia, Pierpaolo
8
2010
Estimates of convergence of fully discrete schemes for the Isaacs equation of pursuit-evasion differential games via maximum principle. Zbl 0947.65077
Soravia, Pierpaolo
7
1998
Viscosity solutions and optimal control problems with integral constraints. Zbl 0985.49016
Soravia, P.
6
2000
Approximation of differential games of pursuit-evasion by discrete-time games. Zbl 0795.90098
Bardi, Martino; Soravia, Pierpaolo
6
1991
Representation formulas for solutions of the HJI equations with discontinuous coefficients and existence of value in differential games. Zbl 1123.49033
Garavello, M.; Soravia, P.
5
2006
Stability of dynamical systems with competitive controls: The degenerate case. Zbl 0821.93059
Soravia, Pierpaolo
5
1995
A PDE framework for games of pursuit-evasion type. Zbl 0679.90109
Bardi, Martino; Soravia, Pierpaolo
4
1989
Uniqeness results for fully nonlinear degenerate elliptic equations with discontinuous coefficients. Zbl 1132.35324
Soravia, Pierpaolo
4
2006
Viscosity and almost everywhere solutions of first-order Carnot-Carathéodory Hamilton-Jacobi equations. Zbl 1195.49034
Soravia, Pierpaolo
3
2010
On Aronsson equation and deterministic optimal control. Zbl 1167.49025
Soravia, Pierpaolo
3
2009
A comparison principle for the mean curvature flow equation with discontinuous coefficients. Zbl 1353.35087
De Zan, Cecilia; Soravia, Pierpaolo
3
2016
Singular limits of reaction diffusion equations and geometric flows with discontinuous velocity. Zbl 1450.35030
De Zan, Cecilia; Soravia, Pierpaolo
2
2020
The concept of value in differential games of survival and viscosity solutions of Hamilton-Jacobi equations. Zbl 0758.90093
Soravia, Pierpaolo
2
1992
Differential games and nonlinear \({\mathcal H}_\infty\) control in infinite dimensions. Zbl 0986.93023
Kocan, Maciej; Soravia, Pierpaolo
2
2000
Regularity of the minimum time and of viscosity solutions of degenerate eikonal equations via generalized Lie brackets. Zbl 1462.35138
Bardi, Martino; Feleqi, Ermal; Soravia, Pierpaolo
2
2021
Nonlinear, dissipative, infinite dimensional systems. Zbl 0946.49021
Kocan, Maciej; Soravia, Pierpaolo
1
1999
Existence of absolute minimizers for noncoercive Hamiltonians and viscosity solutions of the Aronsson equation. Zbl 1264.35097
Soravia, Pierpaolo
1
2012
Feedback stabilization and \({\mathcal H}_\infty\) control of nonlinear systems affected by disturbances: The differential games approach. Zbl 1002.93504
Soravia, Pierpaolo
1
2002
Evolution operators and viscosity solutions of Hamilton-Jacobi equations. Zbl 0662.35007
Soravia, Pierpaolo
1
1988
The Aronsson equation, Lyapunov functions, and local Lipschitz regularity of the minimum time function. Zbl 1456.49022
Soravia, Pierpaolo
1
2019
On nonlinear convolution and uniqueness of viscosity solutions. Zbl 0979.35056
Soravia, Pierpaolo
1
2000
A degenerate elliptic equation for second order controllability of nonlinear systems. Zbl 1453.93025
Soravia, Pierpaolo
1
2020
Regularity of the minimum time and of viscosity solutions of degenerate eikonal equations via generalized Lie brackets. Zbl 1462.35138
Bardi, Martino; Feleqi, Ermal; Soravia, Pierpaolo
2
2021
Singular limits of reaction diffusion equations and geometric flows with discontinuous velocity. Zbl 1450.35030
De Zan, Cecilia; Soravia, Pierpaolo
2
2020
A degenerate elliptic equation for second order controllability of nonlinear systems. Zbl 1453.93025
Soravia, Pierpaolo
1
2020
The Aronsson equation, Lyapunov functions, and local Lipschitz regularity of the minimum time function. Zbl 1456.49022
Soravia, Pierpaolo
1
2019
A comparison principle for the mean curvature flow equation with discontinuous coefficients. Zbl 1353.35087
De Zan, Cecilia; Soravia, Pierpaolo
3
2016
Existence of absolute minimizers for noncoercive Hamiltonians and viscosity solutions of the Aronsson equation. Zbl 1264.35097
Soravia, Pierpaolo
1
2012
Cauchy problems for noncoercive Hamilton-Jacobi-Isaacs equations with discontinuous coefficients. Zbl 1205.35042
De Zan, Cecilia; Soravia, Pierpaolo
8
2010
Viscosity and almost everywhere solutions of first-order Carnot-Carathéodory Hamilton-Jacobi equations. Zbl 1195.49034
Soravia, Pierpaolo
3
2010
On Aronsson equation and deterministic optimal control. Zbl 1167.49025
Soravia, Pierpaolo
3
2009
Degenerate eikonal equations with discontinuous refraction index. Zbl 1105.35026
Soravia, Pierpaolo
11
2006
Representation formulas for solutions of the HJI equations with discontinuous coefficients and existence of value in differential games. Zbl 1123.49033
Garavello, M.; Soravia, P.
5
2006
Uniqeness results for fully nonlinear degenerate elliptic equations with discontinuous coefficients. Zbl 1132.35324
Soravia, Pierpaolo
4
2006
Optimality principles and uniqueness for Bellman equations of unbounded control problems with discontinuous running cost. Zbl 1053.49026
Garavello, Mauro; Soravia, Pierpaolo
10
2004
Boundary value problems for Hamilton-Jacobi equations with discontinuous Lagrangian. Zbl 1032.35055
Soravia, Pierpaolo
24
2002
Lyapunov functions for infinite-dimensional systems. Zbl 1040.93062
Kocan, Maciej; Soravia, Pierpaolo
11
2002
Feedback stabilization and \({\mathcal H}_\infty\) control of nonlinear systems affected by disturbances: The differential games approach. Zbl 1002.93504
Soravia, Pierpaolo
1
2002
Pursuit-evasion games with state constraints: dynamic programming and discrete-time approximations. Zbl 1158.91323
Bardi, Martino; Koike, Shigeaki; Soravia, Pierpaolo
17
2000
Viscosity solutions and optimal control problems with integral constraints. Zbl 0985.49016
Soravia, P.
6
2000
Differential games and nonlinear \({\mathcal H}_\infty\) control in infinite dimensions. Zbl 0986.93023
Kocan, Maciej; Soravia, Pierpaolo
2
2000
On nonlinear convolution and uniqueness of viscosity solutions. Zbl 0979.35056
Soravia, Pierpaolo
1
2000
Numerical methods for pursuit-evasion games via viscosity solutions. Zbl 1018.49027
Bardi, Martino; Falcone, Maurizio; Soravia, Pierpaolo
26
1999
Optimality principles and representation formulas for viscosity solutions of Hamilton-Jacobi equations. II. Equations of control problems with state constraints. Zbl 1007.49016
Soravia, Pierpaolo
16
1999
Optimality principles and representation formulas for viscosity solutions of Hamilton-Jacobi equations. I: Equations of unbounded and degenerate control problems without uniqueness. Zbl 0955.49016
Soravia, Pierpaolo
14
1999
Equivalence between nonlinear \({\mathcal H}_{\infty}\) control problems and existence of viscosity solutions of Hamilton-Jacobi-Isaacs equations. Zbl 0920.93016
Soravia, P.
8
1999
Nonlinear, dissipative, infinite dimensional systems. Zbl 0946.49021
Kocan, Maciej; Soravia, Pierpaolo
1
1999
A viscosity approach to infinite-dimensional Hamilton-Jacobi equations arising in optimal control with state constraints. Zbl 0918.49025
Kocan, Maciej; Soravia, Pierpaolo
11
1998
Estimates of convergence of fully discrete schemes for the Isaacs equation of pursuit-evasion differential games via maximum principle. Zbl 0947.65077
Soravia, Pierpaolo
7
1998
On differential games for infinite-dimensional systems with nonlinear, unbounded operators. Zbl 0884.90148
Kocan, Maciej; Soravia, Pierpaolo; Świȩch, Andrzej
10
1997
\({\mathcal H}_\infty\) control of nonlinear systems: Differential games and viscosity solutions. Zbl 0926.93019
Soravia, Pierpaolo
29
1996
On the equivalence of various weak notions of solutions of elliptic PDEs with measurable ingredients. Zbl 0885.35031
Crandall, M. G.; Kocan, M.; Soravia, P.; Świȩch, A.
24
1996
Phase-field theory for Fitzhugh-Nagumo-type systems. Zbl 0863.35047
Soravia, Pierpaolo; Souganidis, Panagiotis E.
10
1996
Stability of dynamical systems with competitive controls: The degenerate case. Zbl 0821.93059
Soravia, Pierpaolo
5
1995
Generalized motion of a front propagating along its normal direction: a differential games approach. Zbl 0814.35140
Soravia, Pierpaolo
20
1994
Fully discrete schemes for the value function of pursuit-evasion games. Zbl 0828.90147
Bardi, M.; Falcone, M.; Soravia, P.
11
1994
A comparison result for Hamilton-Jacobi equations and applications to some differential games lacking controllability. Zbl 0823.49019
Bardi, Martino; Soravia, Pierpaolo
10
1994
Discontinuous viscosity solutions to Dirichlet problems for Hamilton- Jacobi equations with convex Hamiltonians. Zbl 0788.49028
Soravia, Pierpaolo
22
1993
Pursuit-evasion problems and viscosity solutions of Isaacs equations. Zbl 0786.35018
Soravia, Pierpaolo
18
1993
Hölder continuity of the minimum-time function for \(C^ 1\)-manifold targets. Zbl 0792.93058
Soravia, P.
13
1992
The concept of value in differential games of survival and viscosity solutions of Hamilton-Jacobi equations. Zbl 0758.90093
Soravia, Pierpaolo
2
1992
Hamilton-Jacobi equations with singular boundary conditions on a free boundary and applications to differential games. Zbl 0732.35013
Bardi, Martino; Soravia, Pierpaolo
22
1991
Approximation of differential games of pursuit-evasion by discrete-time games. Zbl 0795.90098
Bardi, Martino; Soravia, Pierpaolo
6
1991
A PDE framework for games of pursuit-evasion type. Zbl 0679.90109
Bardi, Martino; Soravia, Pierpaolo
4
1989
Evolution operators and viscosity solutions of Hamilton-Jacobi equations. Zbl 0662.35007
Soravia, Pierpaolo
1
1988
all top 5

Cited by 346 Authors

16 Soravia, Pierpaolo
11 Bardi, Martino
9 Motta, Monica
8 Świȩch, Andrzej
7 Cardaliaguet, Pierre
6 Camilli, Fabio
6 Falcone, Maurizio
6 Hantoute, Abderrahim
6 Kumkov, Sergey S.
6 Moreira, Diego R.
6 Quincampoix, Marc
6 Rampazzo, Franco
6 Zidani, Hasnaa
5 Adly, Samir
5 Barles, Guy
5 Bettiol, Piernicola
5 Giga, Yoshikazu
5 Gozzi, Fausto
5 Ley, Olivier
5 Patsko, Valerii S.
5 Turova, Varvara L.
4 Bagagiolo, Fabio
4 Braga, J. Ederson M.
4 He, Yiran
4 Jiang, Yi
4 McEneaney, William “Mac” M.
4 Monteillet, Aurélien
4 Nour, Chadi
4 Sartori, Caterina
4 Shchelchkov, Kirill Aleksandrovich
4 Stern, Ronald Jay
3 Bounkhel, Messaoud
3 Cârjă, Ovidiu
3 Clarke, Francis H.
3 De Zan, Cecilia
3 Dower, Peter M.
3 Federico, Salvatore
3 Guo, Bao-Zhu
3 Guseinov, Khalik G.
3 Kocan, Maciej
3 Liu, Qing
3 Mitake, Hiroyoshi
3 Munts, Nataly V.
3 Nguyen, Bao Tran Nhan
3 Shaiju, A. J.
2 Alziary de Roquefort, B.
2 Barron, Emmanuel Nicholas
2 Bokanowski, Olivier
2 Borowiec, Marek
2 Briani, Ariela
2 Calvia, Alessandro
2 Carlini, Elisabetta
2 Cesaroni, Annalisa
2 Chasseigne, Emmanuel
2 Cosso, Andrea
2 Cristiani, Emiliano
2 Day, Martin V.
2 Dragoni, Federica
2 Fedkiw, Ronald P.
2 Ferretti, Roberto Giorgio
2 Festa, Adriano
2 Forcadel, Nicolas
2 Friswell, Michael Ian
2 Ghosh, Mrinal Kanti
2 Giovannardi, Gianmarco
2 Gomes, Diogo Luís Aguiar
2 Gomoyunov, Mikhail Igorevich
2 Grüne, Lars
2 Imbert, Cyril
2 Kalise, Dante
2 Koike, Shigeaki
2 Kornev, Dmitriĭ Vasil’evich
2 Kouhkouh, Hicham
2 Lai, Anna Chiara
2 Lazu, Alina Ilinca
2 Litak, Grzegorz
2 Liu, Lijun
2 Lukoyanov, Nikolaĭ Yur’evich
2 Maggistro, Rosario
2 Malisoff, Michael
2 Moon, Jun-Hee
2 Nornberg, Gabrielle
2 Osher, Stanley Joel
2 Quaas, Alexander
2 Rao, Zhiping
2 Rodríguez, Andrei
2 Russo, Francesco
2 Sahu, Smita
2 Siconolfi, Antonio
2 Sun, Bing
2 Sun, Jie
2 Takei, Ryo
2 Théra, Michel A.
2 Tran Vinh Hung
2 Verzellesi, Simone
2 Vladimirsky, Alexander
2 Wang, Lihe
2 Wolenski, Peter R.
2 Wu, Tao-Tao
2 Wu, Xiaochi
...and 246 more Authors
all top 5

Cited in 100 Serials

19 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
14 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations
13 Applied Mathematics and Optimization
11 Journal of Mathematical Analysis and Applications
10 Journal of Optimization Theory and Applications
9 Systems & Control Letters
9 Dynamic Games and Applications
8 Journal of Differential Equations
8 NoDEA. Nonlinear Differential Equations and Applications
7 SIAM Journal on Control and Optimization
7 Discrete and Continuous Dynamical Systems
5 Journal of Global Optimization
5 Journal de Mathématiques Pures et Appliquées. Neuvième Série
5 Calculus of Variations and Partial Differential Equations
5 Set-Valued and Variational Analysis
4 Archive for Rational Mechanics and Analysis
4 Journal of Functional Analysis
3 Applicable Analysis
3 Journal of Computational Physics
3 Mathematische Annalen
3 Transactions of the American Mathematical Society
3 MCSS. Mathematics of Control, Signals, and Systems
3 Abstract and Applied Analysis
3 International Game Theory Review
3 Mathematical Control and Related Fields
3 Nonlinear Analysis. Theory, Methods & Applications
2 Journal of the Franklin Institute
2 Mathematics of Computation
2 Automatica
2 Journal of Computational and Applied Mathematics
2 Proceedings of the American Mathematical Society
2 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
2 Applied Numerical Mathematics
2 RAIRO. Modélisation Mathématique et Analyse Numérique
2 Journal of Scientific Computing
2 Automation and Remote Control
2 Communications in Partial Differential Equations
2 SIAM Journal on Mathematical Analysis
2 International Journal of Robust and Nonlinear Control
2 Journal of Mathematical Sciences (New York)
2 European Journal of Control
2 Computing and Visualization in Science
2 Journal of Dynamical and Control Systems
2 Differential Equations
2 Comptes Rendus. Mathématique. Académie des Sciences, Paris
2 Discrete and Continuous Dynamical Systems. Series S
2 Minimax Theory and its Applications
1 Communications in Mathematical Physics
1 Communications on Pure and Applied Mathematics
1 International Journal of Control
1 International Journal of Systems Science
1 Journal d’Analyse Mathématique
1 Russian Mathematical Surveys
1 ZAMP. Zeitschrift für angewandte Mathematik und Physik
1 Chaos, Solitons and Fractals
1 Advances in Mathematics
1 Annali di Matematica Pura ed Applicata. Serie Quarta
1 BIT
1 International Journal of Game Theory
1 Journal of Mathematical Economics
1 Memoirs of the American Mathematical Society
1 Naval Research Logistics
1 Osaka Journal of Mathematics
1 SIAM Journal on Numerical Analysis
1 Optimal Control Applications & Methods
1 Acta Applicandae Mathematicae
1 Physica D
1 Optimization
1 Queueing Systems
1 Japan Journal of Industrial and Applied Mathematics
1 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
1 Games and Economic Behavior
1 Proceedings of the Indian Academy of Sciences. Mathematical Sciences
1 Mathematical Programming. Series A. Series B
1 Analele Științifice ale Universității Al. I. Cuza din Iași. Serie Nouă. Matematică
1 SIAM Journal on Scientific Computing
1 Economic Theory
1 Advances in Computational Mathematics
1 Sbornik: Mathematics
1 Finance and Stochastics
1 Positivity
1 Soft Computing
1 Communications in Nonlinear Science and Numerical Simulation
1 Journal of Nonlinear Mathematical Physics
1 Journal of Systems Science and Complexity
1 SIAM Journal on Applied Dynamical Systems
1 Journal of Function Spaces and Applications
1 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
1 Proceedings of the Steklov Institute of Mathematics
1 Annali dell’Università di Ferrara. Sezione VII. Scienze Matematiche
1 Networks and Heterogeneous Media
1 Nonlinear Analysis. Hybrid Systems
1 International Journal of Differential Equations
1 Matematicheskaya Teoriya Igr i eë Prilozheniya
1 Analysis and Mathematical Physics
1 Numerical Algebra, Control and Optimization
1 Vestnik Udmurtskogo Universiteta. Matematika. Mekhanika. Komp’yuternye Nauki
1 SIAM/ASA Journal on Uncertainty Quantification
1 SN Partial Differential Equations and Applications
1 Advances in Continuous and Discrete Models

Citations by Year

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