Edit Profile (opens in new tab) Bardi, Martino Compute Distance To: Compute Author ID: bardi.martino Published as: Bardi, Martino; Bardi, M. Documents Indexed: 82 Publications since 1981, including 3 Books 3 Contributions as Editor Co-Authors: 37 Co-Authors with 68 Joint Publications 1,132 Co-Co-Authors all top 5 Co-Authors 12 single-authored 10 Cesaroni, Annalisa 9 Soravia, Pierpaolo 6 Alvarez, Olivier 5 Capuzzo Dolcetta, Italo 5 Da Lio, Francesca 4 Mannucci, Paola 3 Dragoni, Federica 3 Falcone, Maurizio 3 Sartori, Caterina 2 Badiale, Marino 2 Bagagiolo, Fabio 2 Bottacin, Sandra 2 Caines, Peter Edwin 2 Cirant, Marco 2 Feleqi, Ermal 2 Goatin, Paola 2 Goffi, Alessandro 2 Marchi, Claudio 2 Perthame, Benoît 1 Achdou, Yves 1 Cardaliaguet, Pierre 1 Evans, Lawrence Craig 1 Faggian, Silvia 1 Ghilli, Daria 1 Giga, Yoshikazu 1 Ishii, Hitoshi 1 Koike, Shigeaki 1 Maldonado López, Juan Pablo 1 Manca, Luigi 1 Osher, Stanley Joel 1 Parthasarathy, Thiruvenkatachari 1 Priuli, Fabio Simone 1 Raghavan, Tirukkannamangai E. S. 1 Rossi, Luca 1 Scotti, Andrea 1 Staicu, Vasile 1 Terrone, Gabriele 1 Topp, Erwin all top 5 Serials 6 SIAM Journal on Control and Optimization 4 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 3 Journal of Differential Equations 3 Communications on Pure and Applied Analysis 3 Dynamic Games and Applications 2 Journal of Mathematical Biology 2 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 2 SIAM Journal on Mathematical Analysis 2 Calculus of Variations and Partial Differential Equations 2 NoDEA. Nonlinear Differential Equations and Applications 2 Discrete and Continuous Dynamical Systems 2 Nonlinear Analysis. Theory, Methods & Applications 1 Archive for Rational Mechanics and Analysis 1 Communications on Pure and Applied Mathematics 1 Journal of Mathematical Analysis and Applications 1 Annali di Matematica Pura ed Applicata. Serie Quarta 1 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV 1 Applied Mathematics and Optimization 1 Archiv der Mathematik 1 Funkcialaj Ekvacioj. Serio Internacia 1 Indiana University Mathematics Journal 1 Mathematische Annalen 1 Memoirs of the American Mathematical Society 1 Transactions of the American Mathematical Society 1 Rendiconti del Seminario Matematico 1 Acta Applicandae Mathematicae 1 Asymptotic Analysis 1 Forum Mathematicum 1 Differential and Integral Equations 1 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 1 Communications in Partial Differential Equations 1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 1 Advances in Mathematical Sciences and Applications 1 Set-Valued Analysis 1 Journal of Convex Analysis 1 European Journal of Control 1 Annals of the International Society of Dynamic Games 1 Systems & Control: Foundations & Applications 1 Networks and Heterogeneous Media 1 Bollettino dell’Unione Matematica Italiana. Series IX 1 SIAM Journal on Financial Mathematics 1 Set-Valued and Variational Analysis 1 Modern Birkhäuser Classics all top 5 Fields 57 Calculus of variations and optimal control; optimization (49-XX) 52 Partial differential equations (35-XX) 32 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 22 Systems theory; control (93-XX) 7 Ordinary differential equations (34-XX) 6 Probability theory and stochastic processes (60-XX) 4 Biology and other natural sciences (92-XX) 3 General and overarching topics; collections (00-XX) 3 Real functions (26-XX) 2 Integral equations (45-XX) 2 Mechanics of particles and systems (70-XX) 2 Operations research, mathematical programming (90-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Differential geometry (53-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Numerical analysis (65-XX) 1 Fluid mechanics (76-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 77 Publications have been cited 1,645 times in 1,244 Documents Cited by ▼ Year ▼ Optimal control and viscosity solutions of Hamilton-Jacobi-Bellman equations. Zbl 0890.49011Bardi, Martino; Capuzzo-Dolcetta, Italo 751 1997 Optimal control and viscosity solutions of Hamilton-Jacobi-Bellman equations. Reprint of the 1997 original. Zbl 1134.49022Bardi, Martino; Capuzzo-Dolcetta, Italo 85 2008 On Hopf’s formulas for solutions of Hamilton-Jacobi equations. Zbl 0569.35011Bardi, M.; Evans, L. C. 77 1984 On the strong maximum principle for fully nonlinear degenerate elliptic equations. Zbl 0939.35038Bardi, Martino; Da Lio, Francesca 51 1999 Explicit solutions of some linear-quadratic mean field games. Zbl 1268.91017Bardi, Martino 47 2012 Ergodicity, stabilization, and singular perturbations for Bellman-Isaacs equations. Zbl 1209.35001Alvarez, Olivier; Bardi, Martino 44 2010 An approximation scheme for the minimum time function. Zbl 0723.49024Bardi, M; Falcone, M. 41 1990 Singular perturbations of nonlinear degenerate parabolic pDEs: A general convergence result. Zbl 1032.35103Alvarez, Olivier; Bardi, Martino 41 2003 Linear-quadratic \(N\)-person and mean-field games with ergodic cost. Zbl 1308.91008Bardi, Martino; Priuli, Fabio S. 37 2014 Viscosity solutions methods for singular perturbations in deterministic and stochastic control. Zbl 1017.49028Alvarez, Olivier; Bardi, Martino 34 2001 A boundary value problem for the minimum-time function. Zbl 0682.49034Bardi, Martino 33 1989 Mean field games models of segregation. Zbl 1355.91003Achdou, Yves; Bardi, Martino; Cirant, Marco 26 2017 Predator-prey models in periodically fluctuating environments. Zbl 0466.92019Bardi, Martino 24 1981 The nonconvex multi-dimensional Riemann problem for Hamilton-Jacobi equations. Zbl 0733.35073Bardi, Martino; Osher, Stanley 23 1991 Numerical methods for pursuit-evasion games via viscosity solutions. Zbl 1018.49027Bardi, Martino; Falcone, Maurizio; Soravia, Pierpaolo 22 1999 Hamilton-Jacobi equations with singular boundary conditions on a free boundary and applications to differential games. Zbl 0732.35013Bardi, Martino; Soravia, Pierpaolo 20 1991 On the Dirichlet problem for non-totally degenerate fully nonlinear elliptic equations. Zbl 1142.35041Bardi, Martino; Mannucci, Paola 20 2006 On the Bellman equation for some unbounded control problems. Zbl 0894.49017Bardi, Martino; Da Lio, Francesca 19 1997 Nonlinear elliptic systems and mean-field games. Zbl 1358.35198Bardi, Martino; Feleqi, Ermal 18 2016 Multiscale problems and homogenization for second-order Hamilton-Jacobi equations. Zbl 1133.35005Alvarez, Olivier; Bardi, Martino; Marchi, Claudio 18 2007 Invariant sets for controlled degenerate diffusions: A viscosity solutions approach. Zbl 0928.93067Bardi, Martino; Goatin, Paola 16 1999 Ergodic problems in differential games. Zbl 1153.91346Alvarez, Olivier; Bardi, Martino 16 2007 Convergence by viscosity methods in multiscale financial models with stochastic volatility. Zbl 1189.35020Bardi, Martino; Cesaroni, Annalisa; Manca, Luigi 16 2010 Discrete approximation of the minimal time function for systems with regular optimal trajectories. Zbl 0708.49012Bardi, M.; Falcone, M. 14 1990 Propagation of maxima and strong maximum principle for viscosity solutions of degenerate elliptic equations. I: Convex operators. Zbl 1135.35342Bardi, Martino; Da Lio, Francesca 14 2001 Pursuit-evasion games with state constraints: dynamic programming and discrete-time approximations. Zbl 1158.91323Bardi, Martino; Koike, Shigeaki; Soravia, Pierpaolo 13 2000 A geometric characterization of viable sets for controlled degenerate diffusions. Zbl 1031.93160Bardi, Martino; Jensen, Robert 13 2002 Propagation of maxima and strong maximum principle for viscosity solutions of degenerate elliptic equations. II: Concave operators. Zbl 1135.35343Bardi, Martino; Da Lio, Francesca 10 2003 Fully discrete schemes for the value function of pursuit-evasion games. Zbl 0828.90147Bardi, M.; Falcone, M.; Soravia, P. 10 1994 On differential games with long-time-average cost. Zbl 1188.49030Bardi, Martino 10 2009 Convexity and semiconvexity along vector fields. Zbl 1232.26012Bardi, Martino; Dragoni, Federica 10 2011 Uniqueness of solutions in mean field games with several populations and Neumann conditions. Zbl 1414.35107Bardi, Martino; Cirant, Marco 9 2018 Comparison principles and Dirichlet problem for fully nonlinear degenerate equations of Monge-Ampére type. Zbl 1281.35056Bardi, Martino; Mannucci, Paola 9 2013 A comparison result for Hamilton-Jacobi equations and applications to some differential games lacking controllability. Zbl 0823.49019Bardi, Martino; Soravia, Pierpaolo 9 1994 New strong maximum and comparison principles for fully nonlinear degenerate elliptic PDEs. Zbl 1426.35051Bardi, Martino; Goffi, Alessandro 8 2019 An equation of growth of a single species with realistic dependence on crowding and seasonal factors. Zbl 0509.92021Bardi, Martino 8 1983 A viscosity solutions approach to some asymptotic problems in optimal control. Zbl 0881.35013Bagagiolo, F.; Bardi, M.; Capuzzo Dolcetta, I. 8 1997 The Bellman equation for time-optimal control of noncontrollable, nonlinear systems. Zbl 0797.49025Bardi, Martino; Staicu, Vasile 8 1993 Optimal control with random parameters: a multiscale approach. Zbl 1248.49038Bardi, Martino; Cesaroni, Annalisa 8 2011 Liouville properties and critical value of fully nonlinear elliptic operators. Zbl 1350.35045Bardi, Martino; Cesaroni, Annalisa 7 2016 Hopf-type estimates and formulas for nonconvex nonconcave Hamilton-Jacobi equations. Zbl 0914.35026Bardi, Martino; Faggian, Silvia 7 1998 Subdifferential and properties of convex functions with respect to vector fields. Zbl 1304.49033Bardi, Martino; Dragoni, Federica 7 2014 Singular perturbation of a finite horizon problem with state-space constraints. Zbl 0953.49031Bagagiolo, Fabio; Bardi, Martino 6 1998 Convergence of discrete schemes for discontinuous value functions of pursuit-evasion games. Zbl 0845.90140Bardi, Martino; Bottacin, Sandra; Falcone, Maurizio 6 1995 Almost sure stabilizability of controlled degenerate diffusions. Zbl 1102.93040Bardi, Martino; Cesaroni, Annalisa 6 2005 Preface: DGAA special issue on mean field games. Zbl 1304.00024 6 2013 Approximation of differential games of pursuit-evasion by discrete-time games. Zbl 0795.90098Bardi, Martino; Soravia, Pierpaolo 6 1991 Large deviations for some fast stochastic volatility models by viscosity methods. Zbl 1332.93265Bardi, Martino; Cesaroni, Annalisa; Ghilli, Daria 5 2015 On non-uniqueness and uniqueness of solutions in finite-horizon mean field games. Zbl 1437.91049Bardi, Martino; Fischer, Markus 5 2019 On the homogenization of some non-coercive Hamilton-Jacobi-Isaacs equations. Zbl 1264.35019Bardi, Martino; Terrone, Gabriele 5 2013 Comparison principles for subelliptic equations of Monge-Ampère type. Zbl 1203.35081Bardi, Martino; Mannucci, Paola 5 2008 Convergence in multiscale financial models with non-Gaussian stochastic volatility. Zbl 1369.93713Bardi, Martino; Cesaroni, Annalisa; Scotti, Andrea 4 2016 Nonexistence of nonconstant solutions of some degenerate Bellman equations and applications to stochastic control. Zbl 1346.35067Bardi, Martino; Cesaroni, Annalisa; Rossi, Luca 4 2016 Stochastic and differential games. Theory and numerical methods. Dedicated to Prof. A. I. Subbotin. Zbl 0919.00032 4 1999 An asymptotic formula for the Green’s function of an elliptic operator. Zbl 0672.35016Bardi, Martino 4 1987 On the Dirichlet problem for nonlinear degenerate elliptic equations and applications to optimal control. Zbl 1027.49023Bardi, M.; Bottacin, S. 4 1998 Some applications of viscosity solutions to optimal control and differential games. Zbl 0884.49020Bardi, Martino 4 1997 Multiscale singular perturbations and homogenization of optimal control problems. Zbl 1206.93072Alvarez, O.; Bardi, M.; Marchi, C. 4 2008 Comparison principles for equations of Monge-Ampère type in Carnot groups: a direct proof. Zbl 1187.35118Bardi, Martino; Mannucci, Paola 4 2008 Exponential decay to stable states in phase transitions via a double log- transformation. Zbl 0732.34022Bardi, Martino; Perthame, Benoit 3 1990 A PDE framework for games of pursuit-evasion type. Zbl 0679.90109Bardi, Martino; Soravia, Pierpaolo 3 1989 Symmetry properties of solutions of Hamilton-Jacobi equations without uniqueness. Zbl 0736.35020Badiale, M.; Bardi, M. 3 1990 A Dirichlet type problem for nonlinear degenerate elliptic equations arising in time-optimal stochastic control. Zbl 0970.35065Bardi, Martino; Goatin, Paola; Ishii, Hitoshi 3 2000 Preface: DGAA 2nd special issue on mean field games. Zbl 1304.00025 3 2014 Convergence of some mean field games systems to aggregation and flocking models. Zbl 1460.35349Bardi, Martino; Cardaliaguet, Pierre 3 2021 Propagation of maxima and strong maximum principle for viscosity solutions of degenerate elliptic equations. Zbl 0968.49020Bardi, Martino; Da Lio, Francesca 2 2000 Geometric properties of solutions of Hamilton-Jacobi equations. Zbl 0535.35005Bardi, Martino 2 1985 Uniform estimates for some degenerating quasilinear elliptic equations and a bound on the Harnack constant for linear equations. Zbl 0735.35019Bardi, Martino; Perthame, Benoît 2 1991 A Dijkstra-type algorithm for dynamic games. Zbl 1348.91060Bardi, Martino; Maldonado López, Juan Pablo 2 2016 Cauchy problem and periodic homogenization for nonlocal Hamilton-Jacobi equations with coercive gradient terms. Zbl 1459.35020Bardi, Martino; Cesaroni, Annalisa; Topp, Erwin 2 2020 Approximation and regular perturbation of optimal control problems via Hamilton-Jacobi theory. Zbl 0745.49024Bardi, Martino; Sartori, Caterina 1 1991 Viscosity Lyapunov functions for almost sure stability of degenerate diffusions. Zbl 1057.34055Bardi, Martino; Cesaroni, Annalisa 1 2002 Asymptotic symmetry of solutions of nonlinear partial differential equations. Zbl 0801.35015Badiale, Marino; Bardi, Martino 1 1992 Homogenization of quasilinear elliptic equations with possibly superquadratic growth. Zbl 0831.35011Bardi, M. 1 1995 Exchange of stability along a branch of periodic solutions of a single specie model. Zbl 0524.34047Bardi, Martino 1 1983 Almost sure properties of controlled diffusions and worst case properties of deterministic systems. Zbl 1133.93036Bardi, Martino; Cesaroni, Annalisa 1 2008 Right accessibility of semicontinuous initial data for Hamilton-Jacobi equations. Zbl 1053.35044Bardi, Martino; Giga, Yoshikazu 1 2003 Convergence of some mean field games systems to aggregation and flocking models. Zbl 1460.35349Bardi, Martino; Cardaliaguet, Pierre 3 2021 Cauchy problem and periodic homogenization for nonlocal Hamilton-Jacobi equations with coercive gradient terms. Zbl 1459.35020Bardi, Martino; Cesaroni, Annalisa; Topp, Erwin 2 2020 New strong maximum and comparison principles for fully nonlinear degenerate elliptic PDEs. Zbl 1426.35051Bardi, Martino; Goffi, Alessandro 8 2019 On non-uniqueness and uniqueness of solutions in finite-horizon mean field games. Zbl 1437.91049Bardi, Martino; Fischer, Markus 5 2019 Uniqueness of solutions in mean field games with several populations and Neumann conditions. Zbl 1414.35107Bardi, Martino; Cirant, Marco 9 2018 Mean field games models of segregation. Zbl 1355.91003Achdou, Yves; Bardi, Martino; Cirant, Marco 26 2017 Nonlinear elliptic systems and mean-field games. Zbl 1358.35198Bardi, Martino; Feleqi, Ermal 18 2016 Liouville properties and critical value of fully nonlinear elliptic operators. Zbl 1350.35045Bardi, Martino; Cesaroni, Annalisa 7 2016 Convergence in multiscale financial models with non-Gaussian stochastic volatility. Zbl 1369.93713Bardi, Martino; Cesaroni, Annalisa; Scotti, Andrea 4 2016 Nonexistence of nonconstant solutions of some degenerate Bellman equations and applications to stochastic control. Zbl 1346.35067Bardi, Martino; Cesaroni, Annalisa; Rossi, Luca 4 2016 A Dijkstra-type algorithm for dynamic games. Zbl 1348.91060Bardi, Martino; Maldonado López, Juan Pablo 2 2016 Large deviations for some fast stochastic volatility models by viscosity methods. Zbl 1332.93265Bardi, Martino; Cesaroni, Annalisa; Ghilli, Daria 5 2015 Linear-quadratic \(N\)-person and mean-field games with ergodic cost. Zbl 1308.91008Bardi, Martino; Priuli, Fabio S. 37 2014 Subdifferential and properties of convex functions with respect to vector fields. Zbl 1304.49033Bardi, Martino; Dragoni, Federica 7 2014 Preface: DGAA 2nd special issue on mean field games. Zbl 1304.00025 3 2014 Comparison principles and Dirichlet problem for fully nonlinear degenerate equations of Monge-Ampére type. Zbl 1281.35056Bardi, Martino; Mannucci, Paola 9 2013 Preface: DGAA special issue on mean field games. Zbl 1304.00024 6 2013 On the homogenization of some non-coercive Hamilton-Jacobi-Isaacs equations. Zbl 1264.35019Bardi, Martino; Terrone, Gabriele 5 2013 Explicit solutions of some linear-quadratic mean field games. Zbl 1268.91017Bardi, Martino 47 2012 Convexity and semiconvexity along vector fields. Zbl 1232.26012Bardi, Martino; Dragoni, Federica 10 2011 Optimal control with random parameters: a multiscale approach. Zbl 1248.49038Bardi, Martino; Cesaroni, Annalisa 8 2011 Ergodicity, stabilization, and singular perturbations for Bellman-Isaacs equations. Zbl 1209.35001Alvarez, Olivier; Bardi, Martino 44 2010 Convergence by viscosity methods in multiscale financial models with stochastic volatility. Zbl 1189.35020Bardi, Martino; Cesaroni, Annalisa; Manca, Luigi 16 2010 On differential games with long-time-average cost. Zbl 1188.49030Bardi, Martino 10 2009 Optimal control and viscosity solutions of Hamilton-Jacobi-Bellman equations. Reprint of the 1997 original. Zbl 1134.49022Bardi, Martino; Capuzzo-Dolcetta, Italo 85 2008 Comparison principles for subelliptic equations of Monge-Ampère type. Zbl 1203.35081Bardi, Martino; Mannucci, Paola 5 2008 Multiscale singular perturbations and homogenization of optimal control problems. Zbl 1206.93072Alvarez, O.; Bardi, M.; Marchi, C. 4 2008 Comparison principles for equations of Monge-Ampère type in Carnot groups: a direct proof. Zbl 1187.35118Bardi, Martino; Mannucci, Paola 4 2008 Almost sure properties of controlled diffusions and worst case properties of deterministic systems. Zbl 1133.93036Bardi, Martino; Cesaroni, Annalisa 1 2008 Multiscale problems and homogenization for second-order Hamilton-Jacobi equations. Zbl 1133.35005Alvarez, Olivier; Bardi, Martino; Marchi, Claudio 18 2007 Ergodic problems in differential games. Zbl 1153.91346Alvarez, Olivier; Bardi, Martino 16 2007 On the Dirichlet problem for non-totally degenerate fully nonlinear elliptic equations. Zbl 1142.35041Bardi, Martino; Mannucci, Paola 20 2006 Almost sure stabilizability of controlled degenerate diffusions. Zbl 1102.93040Bardi, Martino; Cesaroni, Annalisa 6 2005 Singular perturbations of nonlinear degenerate parabolic pDEs: A general convergence result. Zbl 1032.35103Alvarez, Olivier; Bardi, Martino 41 2003 Propagation of maxima and strong maximum principle for viscosity solutions of degenerate elliptic equations. II: Concave operators. Zbl 1135.35343Bardi, Martino; Da Lio, Francesca 10 2003 Right accessibility of semicontinuous initial data for Hamilton-Jacobi equations. Zbl 1053.35044Bardi, Martino; Giga, Yoshikazu 1 2003 A geometric characterization of viable sets for controlled degenerate diffusions. Zbl 1031.93160Bardi, Martino; Jensen, Robert 13 2002 Viscosity Lyapunov functions for almost sure stability of degenerate diffusions. Zbl 1057.34055Bardi, Martino; Cesaroni, Annalisa 1 2002 Viscosity solutions methods for singular perturbations in deterministic and stochastic control. Zbl 1017.49028Alvarez, Olivier; Bardi, Martino 34 2001 Propagation of maxima and strong maximum principle for viscosity solutions of degenerate elliptic equations. I: Convex operators. Zbl 1135.35342Bardi, Martino; Da Lio, Francesca 14 2001 Pursuit-evasion games with state constraints: dynamic programming and discrete-time approximations. Zbl 1158.91323Bardi, Martino; Koike, Shigeaki; Soravia, Pierpaolo 13 2000 A Dirichlet type problem for nonlinear degenerate elliptic equations arising in time-optimal stochastic control. Zbl 0970.35065Bardi, Martino; Goatin, Paola; Ishii, Hitoshi 3 2000 Propagation of maxima and strong maximum principle for viscosity solutions of degenerate elliptic equations. Zbl 0968.49020Bardi, Martino; Da Lio, Francesca 2 2000 On the strong maximum principle for fully nonlinear degenerate elliptic equations. Zbl 0939.35038Bardi, Martino; Da Lio, Francesca 51 1999 Numerical methods for pursuit-evasion games via viscosity solutions. Zbl 1018.49027Bardi, Martino; Falcone, Maurizio; Soravia, Pierpaolo 22 1999 Invariant sets for controlled degenerate diffusions: A viscosity solutions approach. Zbl 0928.93067Bardi, Martino; Goatin, Paola 16 1999 Stochastic and differential games. Theory and numerical methods. Dedicated to Prof. A. I. Subbotin. Zbl 0919.00032 4 1999 Hopf-type estimates and formulas for nonconvex nonconcave Hamilton-Jacobi equations. Zbl 0914.35026Bardi, Martino; Faggian, Silvia 7 1998 Singular perturbation of a finite horizon problem with state-space constraints. Zbl 0953.49031Bagagiolo, Fabio; Bardi, Martino 6 1998 On the Dirichlet problem for nonlinear degenerate elliptic equations and applications to optimal control. Zbl 1027.49023Bardi, M.; Bottacin, S. 4 1998 Optimal control and viscosity solutions of Hamilton-Jacobi-Bellman equations. Zbl 0890.49011Bardi, Martino; Capuzzo-Dolcetta, Italo 751 1997 On the Bellman equation for some unbounded control problems. Zbl 0894.49017Bardi, Martino; Da Lio, Francesca 19 1997 A viscosity solutions approach to some asymptotic problems in optimal control. Zbl 0881.35013Bagagiolo, F.; Bardi, M.; Capuzzo Dolcetta, I. 8 1997 Some applications of viscosity solutions to optimal control and differential games. Zbl 0884.49020Bardi, Martino 4 1997 Convergence of discrete schemes for discontinuous value functions of pursuit-evasion games. Zbl 0845.90140Bardi, Martino; Bottacin, Sandra; Falcone, Maurizio 6 1995 Homogenization of quasilinear elliptic equations with possibly superquadratic growth. Zbl 0831.35011Bardi, M. 1 1995 Fully discrete schemes for the value function of pursuit-evasion games. Zbl 0828.90147Bardi, M.; Falcone, M.; Soravia, P. 10 1994 A comparison result for Hamilton-Jacobi equations and applications to some differential games lacking controllability. Zbl 0823.49019Bardi, Martino; Soravia, Pierpaolo 9 1994 The Bellman equation for time-optimal control of noncontrollable, nonlinear systems. Zbl 0797.49025Bardi, Martino; Staicu, Vasile 8 1993 Asymptotic symmetry of solutions of nonlinear partial differential equations. Zbl 0801.35015Badiale, Marino; Bardi, Martino 1 1992 The nonconvex multi-dimensional Riemann problem for Hamilton-Jacobi equations. Zbl 0733.35073Bardi, Martino; Osher, Stanley 23 1991 Hamilton-Jacobi equations with singular boundary conditions on a free boundary and applications to differential games. Zbl 0732.35013Bardi, Martino; Soravia, Pierpaolo 20 1991 Approximation of differential games of pursuit-evasion by discrete-time games. Zbl 0795.90098Bardi, Martino; Soravia, Pierpaolo 6 1991 Uniform estimates for some degenerating quasilinear elliptic equations and a bound on the Harnack constant for linear equations. Zbl 0735.35019Bardi, Martino; Perthame, Benoît 2 1991 Approximation and regular perturbation of optimal control problems via Hamilton-Jacobi theory. Zbl 0745.49024Bardi, Martino; Sartori, Caterina 1 1991 An approximation scheme for the minimum time function. Zbl 0723.49024Bardi, M; Falcone, M. 41 1990 Discrete approximation of the minimal time function for systems with regular optimal trajectories. Zbl 0708.49012Bardi, M.; Falcone, M. 14 1990 Exponential decay to stable states in phase transitions via a double log- transformation. Zbl 0732.34022Bardi, Martino; Perthame, Benoit 3 1990 Symmetry properties of solutions of Hamilton-Jacobi equations without uniqueness. Zbl 0736.35020Badiale, M.; Bardi, M. 3 1990 A boundary value problem for the minimum-time function. Zbl 0682.49034Bardi, Martino 33 1989 A PDE framework for games of pursuit-evasion type. Zbl 0679.90109Bardi, Martino; Soravia, Pierpaolo 3 1989 An asymptotic formula for the Green’s function of an elliptic operator. Zbl 0672.35016Bardi, Martino 4 1987 Geometric properties of solutions of Hamilton-Jacobi equations. Zbl 0535.35005Bardi, Martino 2 1985 On Hopf’s formulas for solutions of Hamilton-Jacobi equations. Zbl 0569.35011Bardi, M.; Evans, L. C. 77 1984 An equation of growth of a single species with realistic dependence on crowding and seasonal factors. Zbl 0509.92021Bardi, Martino 8 1983 Exchange of stability along a branch of periodic solutions of a single specie model. Zbl 0524.34047Bardi, Martino 1 1983 Predator-prey models in periodically fluctuating environments. Zbl 0466.92019Bardi, Martino 24 1981 all cited Publications top 5 cited Publications all top 5 Cited by 1,339 Authors 29 Camilli, Fabio 24 Bardi, Martino 20 Quincampoix, Marc 19 Barles, Guy 19 Cannarsa, Piermarco 19 Cardaliaguet, Pierre 18 Gomes, Diogo Luís Aguiar 18 Marchi, Claudio 18 Zidani, Hasnaa 15 Cesaroni, Annalisa 15 Ishii, Hitoshi 15 Serea, Oana-Silvia 14 Achdou, Yves 14 Siconolfi, Antonio 14 Tchou, Nicoletta Anna 13 Bokanowski, Olivier 13 Bressan, Alberto 13 Cirant, Marco 12 Falcone, Maurizio 12 Soravia, Pierpaolo 11 Davini, Andrea 11 Grüne, Lars 11 Mannucci, Paola 10 Barron, Emmanuel Nicholas 10 Gaitsgory, Vladimir G. 10 Kunisch, Karl 10 McEneaney, William “Mac” M. 9 Bagagiolo, Fabio 9 Da Lio, Francesca 9 Huang, Jianhui 9 Ley, Olivier 9 Liu, Qing 9 Silva, Francisco J. 9 Tran Vinh Hung 8 Bauso, Dario 8 Calder, Jeff 8 Capuzzo Dolcetta, Italo 8 Chen, Lansun 8 Crasta, Graziano 8 Festa, Adriano 8 Kumkov, Sergey S. 8 Lasry, Jean-Michel 8 Osher, Stanley Joel 8 Patsko, Valerii S. 8 Quaas, Alexander 7 Alla, Alessandro 7 Averboukh, Yuriĭ Vladimirovich 7 Bayraktar, Erhan 7 Dower, Peter M. 7 Frankowska, Hélène 7 Goffi, Alessandro 7 Goreac, Dan 7 Gozzi, Fausto 7 Hamamuki, Nao 7 Kalise, Dante 7 Lions, Pierre-Louis 7 Mitake, Hiroyoshi 7 Monneau, Régis 7 Nguyen, Khai T. 7 Świȩch, Andrzej 6 Bensoussan, Alain 6 Bettiol, Piernicola 6 Carlini, Elisabetta 6 Chasseigne, Emmanuel 6 Cristiani, Emiliano 6 Forcadel, Nicolas 6 Ghilli, Daria 6 Huang, Minyi 6 Jakobsen, Espen Robstad 6 Koike, Shigeaki 6 Kolokoltsov, Vassili N. 6 Kurzhanskiĭ, Aleksandr Borisovich 6 Marigonda, Antonio 6 Nour, Chadi 6 Perthame, Benoît 6 Sirakov, Boyan Slavchev 6 Souganidis, Panagiotis E. 6 Stern, Ronald Jay 6 Subbotina, Nina N. 6 Vinter, Richard B. 5 Albano, Paolo 5 Azcue, Pablo 5 Borkar, Vivek Shripad 5 Briani, Ariela 5 Clarke, Francis H. 5 Darbon, Jerome 5 Dragoni, Federica 5 Dykhta, Vladimir Aleksandrovich 5 Feleqi, Ermal 5 Felmer, Patricio L. 5 Ferretti, Roberto Giorgio 5 Fujita, Yasuhiro 5 Giga, Yoshikazu 5 Jensen, Robert R. 5 Kraaij, Richard Clemens 5 Malusa, Annalisa 5 Mirebeau, Jean-Marie 5 Misztela, Arkadiusz 5 Motta, Monica 5 Muler, Nora E. ...and 1,239 more Authors all top 5 Cited in 254 Serials 61 Journal of Differential Equations 53 Applied Mathematics and Optimization 51 SIAM Journal on Control and Optimization 51 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 51 Dynamic Games and Applications 41 Journal of Optimization Theory and Applications 41 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 35 Calculus of Variations and Partial Differential Equations 33 Journal of Mathematical Analysis and Applications 27 NoDEA. Nonlinear Differential Equations and Applications 24 Automatica 21 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 20 Systems & Control Letters 18 Transactions of the American Mathematical Society 18 Journal of Scientific Computing 16 Journal of Computational Physics 16 Communications in Partial Differential Equations 16 Journal de Mathématiques Pures et Appliquées. Neuvième Série 15 Archive for Rational Mechanics and Analysis 13 Discrete and Continuous Dynamical Systems 12 SIAM Journal on Mathematical Analysis 12 Communications on Pure and Applied Analysis 12 Journal of Dynamics and Games 11 Automation and Remote Control 9 Journal of Functional Analysis 9 Discrete and Continuous Dynamical Systems. Series B 9 Minimax Theory and its Applications 8 Applied Mathematics and Computation 8 Applied Numerical Mathematics 8 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 8 Stochastic Processes and their Applications 8 Comptes Rendus. Mathématique. Académie des Sciences, Paris 8 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 7 Chaos, Solitons and Fractals 7 MCSS. Mathematics of Control, Signals, and Systems 7 The Annals of Applied Probability 7 Journal of Global Optimization 7 Proceedings of the Steklov Institute of Mathematics 7 Discrete and Continuous Dynamical Systems. Series S 7 Mathematical Control and Related Fields 6 Mathematics of Computation 6 Numerische Mathematik 6 SIAM Journal on Scientific Computing 6 Journal of Mathematical Sciences (New York) 6 European Journal of Control 6 Journal of the European Mathematical Society (JEMS) 6 Set-Valued and Variational Analysis 6 Nonlinear Analysis. Theory, Methods & Applications 5 International Journal of Control 5 Annali di Matematica Pura ed Applicata. Serie Quarta 5 Journal of Computational and Applied Mathematics 5 Mathematische Annalen 5 SIAM Journal on Numerical Analysis 5 Optimal Control Applications & Methods 5 Insurance Mathematics & Economics 5 SIAM Journal on Applied Mathematics 5 International Journal of Robust and Nonlinear Control 5 Journal of Convex Analysis 5 Differential Equations 5 Nonlinear Analysis. Real World Applications 4 Communications on Pure and Applied Mathematics 4 Journal of Mathematical Biology 4 Nonlinearity 4 Prikladnaya Matematika i Mekhanika 4 International Journal of Game Theory 4 International Journal of Adaptive Control and Signal Processing 4 The Journal of Geometric Analysis 4 Journal of Dynamics and Differential Equations 4 Doklady Mathematics 4 Networks and Heterogeneous Media 4 Research in the Mathematical Sciences 4 Mathematics in Engineering 3 Applicable Analysis 3 Computers & Mathematics with Applications 3 Journal of Applied Mathematics and Mechanics 3 Journal of Statistical Physics 3 Mathematical Biosciences 3 Advances in Mathematics 3 Journal of Mathematical Economics 3 Mathematics of Operations Research 3 Proceedings of the American Mathematical Society 3 Chinese Annals of Mathematics. Series B 3 Acta Applicandae Mathematicae 3 Journal of Economic Dynamics & Control 3 Mathematical and Computer Modelling 3 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 3 Journal of Mathematical Imaging and Vision 3 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 3 Computational Optimization and Applications 3 Computational and Applied Mathematics 3 Mathematical Finance 3 Abstract and Applied Analysis 3 Communications in Contemporary Mathematics 3 Journal of Evolution Equations 3 Journal of Systems Science and Complexity 3 SIAM Journal on Applied Dynamical Systems 3 Nonlinear Analysis. Hybrid Systems 3 SIAM Journal on Imaging Sciences 3 Journal of Computational Dynamics 3 SN Partial Differential Equations and Applications ...and 154 more Serials all top 5 Cited in 39 Fields 695 Calculus of variations and optimal control; optimization (49-XX) 560 Partial differential equations (35-XX) 317 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 299 Systems theory; control (93-XX) 154 Numerical analysis (65-XX) 127 Probability theory and stochastic processes (60-XX) 99 Operations research, mathematical programming (90-XX) 87 Ordinary differential equations (34-XX) 65 Biology and other natural sciences (92-XX) 63 Dynamical systems and ergodic theory (37-XX) 37 Mechanics of particles and systems (70-XX) 30 Real functions (26-XX) 25 Operator theory (47-XX) 20 Computer science (68-XX) 18 Differential geometry (53-XX) 17 Statistical mechanics, structure of matter (82-XX) 16 Global analysis, analysis on manifolds (58-XX) 12 Mechanics of deformable solids (74-XX) 11 Integral equations (45-XX) 9 Statistics (62-XX) 8 Fluid mechanics (76-XX) 8 Optics, electromagnetic theory (78-XX) 7 Functional analysis (46-XX) 6 Classical thermodynamics, heat transfer (80-XX) 5 Convex and discrete geometry (52-XX) 4 General and overarching topics; collections (00-XX) 4 Topological groups, Lie groups (22-XX) 4 Measure and integration (28-XX) 4 Several complex variables and analytic spaces (32-XX) 4 Information and communication theory, circuits (94-XX) 3 Combinatorics (05-XX) 3 Linear and multilinear algebra; matrix theory (15-XX) 3 Difference and functional equations (39-XX) 3 Quantum theory (81-XX) 3 Geophysics (86-XX) 2 Functions of a complex variable (30-XX) 1 History and biography (01-XX) 1 Order, lattices, ordered algebraic structures (06-XX) 1 Relativity and gravitational theory (83-XX) Citations by Year