Edit Profile (opens in new tab) Souganidis, Panagiotis E. Co-Author Distance Author ID: souganidis.panagiotis-e Published as: Souganidis, Panagiotis E.; Souganidis, P. E.; Souganidis, Panagiotis more...less Homepage: https://math.uchicago.edu/~souganidis/ External Links: MGP · ORCID · Wikidata · ResearchGate · dblp Documents Indexed: 159 Publications since 1984, including 7 Additional arXiv Preprints 1 Contribution as Editor · 1 Further Contribution Co-Authors: 60 Co-Authors with 146 Joint Publications 2,262 Co-Co-Authors all top 5 Co-Authors 13 single-authored 40 Lions, Pierre-Louis 20 Perthame, Benoît 15 Cardaliaguet, Pierre 12 Barles, Guy 7 Fleming, Wendell Helms 6 Gess, Benjamin 6 Ishii, Hitoshi 6 Majda, Andrew J. 5 Armstrong, Scott N. 5 Evans, Lawrence Craig 4 Caffarelli, Luis Ángel 4 Crandall, Michael G. 4 Soner, Halil Mete 4 Tran Vinh Hung 3 Gassiat, Paul 3 Henderson, Christopher 3 Katsoulakis, Markos A. 3 Mirrahimi, Sepideh 2 Dirr, Nicolas Peter 2 Engquist, Bjorn E. 2 Feldman, William M. 2 Jackson, Joe 2 Jensen, Reed 2 Jing, Wenjia 2 Kim, Inwon Christina 2 Kossioris, Georgios T. 2 Le Bris, Claude 2 Seeger, Benjamin 2 Strauss, Walter Alexander 2 Tarfulea, Andrei 2 Vanden-Eijnden, Eric 1 Alvarez, Fernando E. 1 Bertozzi, Andrea Louise 1 Bona, Jerry Lloyd 1 Bronsard, Lia 1 Caflisch, Russ 1 Chen, Nan 1 Ciomaga, Adina 1 Constantin, Peter 1 Da Lio, Francesca 1 Dalibard, Anne-Laure 1 Daudin, Samuel 1 E, Weinan 1 Embid, Pedro F. 1 Fefferman, Charles Louis 1 Flandoli, Franco 1 Friedman, Avner 1 Friz, Peter 1 Georgelin, Christine A. 1 Gubinelli, Massimiliano 1 Gurtin, Morton Edward 1 Hairer, Martin 1 Imbert, Cyril 1 Keller, Gerta 1 Khouider, Boualem 1 Klein, Rupert 1 Kramer, Peter Roland 1 Lippi, Francesco 1 Loulakis, Michail 1 Makridakis, Charalambos G. 1 Malek-Madani, Reza 1 McLaughlin, Dave 1 McLaughlin, Richard M. 1 Mimikos-Stamatopoulos, Nikiforos 1 Morfe, Peter S. 1 Nolen, James 1 Osher, Stanley Joel 1 Pego, Robert Leo 1 Pires, Gabriel E. 1 Qi, Di 1 Rouy, Elisabeth 1 Roytburd, Victor 1 Shi, Jin 1 Smith, Leslie M. 1 Soravia, Pierpaolo 1 Stechmann, Samuel N. 1 Tzvetkov, Nikolay 1 Vazquez, Juan Luis 1 Vicol, Vlad C. 1 Wang, Lihe 1 Wang, Xiaoming 1 Yip, Nung Kwan all top 5 Serials 10 Communications on Pure and Applied Mathematics 10 Indiana University Mathematics Journal 9 Archive for Rational Mechanics and Analysis 8 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 6 Journal of Differential Equations 6 SIAM Journal on Mathematical Analysis 5 Journal de Mathématiques Pures et Appliquées. Neuvième Série 5 NoDEA. Nonlinear Differential Equations and Applications 5 Comptes Rendus de l’Académie des Sciences. Série I. Mathématique 4 SIAM Journal on Control and Optimization 4 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni 4 Comptes Rendus. Mathématique. Académie des Sciences, Paris 3 Asymptotic Analysis 3 Communications in Partial Differential Equations 3 Communications in Mathematical Sciences 3 Stochastic and Partial Differential Equations. Analysis and Computations 3 Nonlinear Analysis. Theory, Methods & Applications 2 Journal of Statistical Physics 2 Journal of Functional Analysis 2 Numerische Mathematik 2 Proceedings of the American Mathematical Society 2 Comptes Rendus de l’Académie des Sciences. Série I 2 Research in the Mathematical Sciences 1 Communications in Mathematical Physics 1 Nonlinearity 1 Advances in Mathematics 1 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV 1 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 1 Econometrica 1 Inventiones Mathematicae 1 Journal of the Mathematical Society of Japan 1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 1 SIAM Journal on Numerical Analysis 1 Tôhoku Mathematical Journal. Second Series 1 Transactions of the American Mathematical Society 1 Probability Theory and Related Fields 1 Revista Matemática Iberoamericana 1 Journal of the American Mathematical Society 1 The Annals of Applied Probability 1 IMRN. International Mathematics Research Notices 1 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 1 Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences 1 Stochastic Processes and their Applications 1 Notices of the American Mathematical Society 1 Calculus of Variations and Partial Differential Equations 1 Physics of Fluids 1 Séminaire Équations aux Dérivées Partielles 1 Discrete and Continuous Dynamical Systems 1 Interfaces and Free Boundaries 1 Acta Numerica 1 Oberwolfach Reports 1 Lecture Notes in Mathematics 1 Mathematical Modelling of Natural Phenomena 1 Discrete and Continuous Dynamical Systems. Series S 1 Boletín de la Sociedad Española de Matemática Aplicada. S\(\vec{\text{e}}\)MA 1 Séminaire Laurent Schwartz. EDP et Applications all top 5 Fields 136 Partial differential equations (35-XX) 36 Probability theory and stochastic processes (60-XX) 34 Calculus of variations and optimal control; optimization (49-XX) 19 Fluid mechanics (76-XX) 17 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 11 Numerical analysis (65-XX) 11 Statistical mechanics, structure of matter (82-XX) 9 Biology and other natural sciences (92-XX) 8 Classical thermodynamics, heat transfer (80-XX) 7 Dynamical systems and ergodic theory (37-XX) 7 Operator theory (47-XX) 7 Differential geometry (53-XX) 6 Integral equations (45-XX) 6 Mechanics of particles and systems (70-XX) 6 Systems theory; control (93-XX) 3 Operations research, mathematical programming (90-XX) 2 General and overarching topics; collections (00-XX) 2 History and biography (01-XX) 2 Ordinary differential equations (34-XX) 2 Mechanics of deformable solids (74-XX) 2 Optics, electromagnetic theory (78-XX) 1 Functional analysis (46-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Quantum theory (81-XX) 1 Geophysics (86-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 142 Publications have been cited 4,475 times in 2,841 Documents Cited by ▼ Year ▼ Convergence of approximation schemes for fully nonlinear second order equations. Zbl 0729.65077 Barles, G.; Souganidis, P. E. 430 1991 Phase transitions and generalized motion by mean curvature. Zbl 0801.35045 Evans, L. C.; Soner, H. M.; Souganidis, P. E. 274 1992 Stability and instability of solitary waves of Korteweg-de Vries type. Zbl 0648.76005 Bona, J. L.; Souganidis, P. E.; Strauss, W. A. 209 1987 Differential games and representation formulas for solutions of Hamilton-Jacobi-Isaacs equations. Zbl 1169.91317 Evans, L. C.; Souganidis, P. E. 200 1984 Existence and stability of entropy solutions for the hyperbolic systems of isentropic gas dynamics in Eulerian and Lagrangian coordinates. Zbl 0853.76077 Lions, Pierre-Louis; Perthame, Benoît; Souganidis, Panagiotis E. 171 1996 On the existence of value functions of two-player, zero-sum stochastic differential games. Zbl 0686.90049 Fleming, W. H.; Souganidis, P. E. 163 1989 Front propagation and phase field theory. Zbl 0785.35049 Barles, G.; Soner, H. M.; Souganidis, P. E. 153 1993 Approximation schemes for viscosity solutions of Hamilton-Jacobi equations. Zbl 0536.70020 Souganidis, Panagiotis E. 106 1985 A PDE approach to geometric optics for certain semilinear parabolic equations. Zbl 0692.35014 Evans, L. C.; Souganidis, P. E. 85 1989 Fully nonlinear stochastic partial differential equations: Non-smooth equations and applications. Zbl 0924.35203 Lions, Pierre-Louis; Souganidis, Panagiotis E. 73 1998 A new approach to front propagation problems: theory and applications. Zbl 0904.35034 Barles, Guy; Souganidis, Panagiotis E. 72 1998 Homogenization of fully nonlinear, uniformly elliptic and parabolic partial differential equations in stationary ergodic media. Zbl 1063.35025 Caffarelli, Luis A.; Souganidis, Panagiotis E.; Wang, L. 70 2005 Fully nonlinear stochastic partial differential equations. Zbl 1002.60552 Lions, Pierre-Louis; Souganidis, Panagiotis E. 70 1998 Stochastic homogenization of Hamilton-Jacobi equations and some applications. Zbl 0935.35008 Souganidis, Panagiotis E. 69 1999 Large scale front dynamics for turbulent reaction-diffusion equations with separated velocity scales. Zbl 0839.76093 Majda, Andrew J.; Souganidis, Panagiotis E. 69 1994 Homogenization of “viscous” Hamilton–Jacobi equations in stationary ergodic media. Zbl 1065.35047 Lions, Pierre-Louis; Souganidis, Panagiotis E. 67 2005 Correctors for the homogenization of Hamilton-Jacobi equations in the stationary ergodic setting. Zbl 1050.35012 Lions, Pierre-Louis; Souganidis, Panagiotis E. 65 2003 On the large time behavior of solutions of Hamilton-Jacobi equations. Zbl 0960.70015 Barles, G.; Souganidis, Panagiotis E. 64 2000 Differential games, optimal control and directional derivatives of viscosity solutions of Bellman’s and Isaacs’ equations. Zbl 0569.49019 Lions, Pierre-Louis; Souganidis, P. E. 60 1985 Space-time periodic solutions and long-time behavior of solutions to quasi-linear parabolic equations. Zbl 0986.35047 Barles, G.; Souganidis, P. E. 60 2001 Instability of a class of dispersive solitary waves. Zbl 0713.35108 Souganidis, P. E.; Strauss, W. A. 59 1990 Rates of convergence for the homogenization of fully nonlinear uniformly elliptic PDE in random media. Zbl 1192.35048 Caffarelli, Luis A.; Souganidis, Panagiotis E. 53 2010 A limiting case for velocity averaging. Zbl 0956.45010 Perthame, B.; Souganidis, P. E. 52 1998 Homogenization of degenerate second-order PDE in periodic and almost periodic environments and applications. Zbl 1135.35092 Lions, Pierre-Louis; Souganidis, Panagiotis E. 50 2005 A uniqueness result for viscosity solutions of second order fully nonlinear partial differential equations. Zbl 0662.35048 Jensen, R.; Lions, P.-L.; Souganidis, P. E. 50 1988 Generalized motion of noncompact hypersurfaces with velocity having arbitrary growth on the curvature tensor. Zbl 0837.35066 Ishii, Hitoshi; Souganidis, Panagiotis 49 1995 Convergence of nonlocal threshold dynamics approximations to front propagation. Zbl 1190.65132 Caffarelli, Luis A.; Souganidis, Panagiotis E. 48 2010 Asymptotic and numerical homogenization. Zbl 1179.65142 Engquist, B.; Souganidis, P. E. 47 2008 Stochastic homogenization of Hamilton-Jacobi and degenerate Bellman equations in unbounded environments. Zbl 1246.35029 Armstrong, Scott N.; Souganidis, Panagiotis E. 47 2012 Scalar conservation laws with rough (stochastic) fluxes. Zbl 1333.60140 Lions, Pierre-Louis; Perthame, Benoît; Souganidis, Panagiotis E. 43 2013 Long-time behavior, invariant measures, and regularizing effects for stochastic scalar conservation laws. Zbl 1370.60105 Gess, Benjamin; Souganidis, Panagiotis E. 43 2017 Existence of viscosity solutions of Hamilton-Jacobi equations. Zbl 0506.35020 Souganidis, Panagiotis E. 42 1985 Uniqueness of weak solutions of fully nonlinear stochastic partial differential equations. Zbl 0970.60072 Lions, Pierre-Louis; Souganidis, Panagiotis E. 41 2000 A rate of convergence for monotone finite difference approximations to fully nonlinear, uniformly elliptic PDEs. Zbl 1140.65075 Caffarelli, Luis A.; Souganidis, Panagiotis E. 41 2008 Fully nonlinear stochastic PDE with semilinear stochastic dependence. Zbl 0966.60058 Lions, Pierre-Louis; Souganidis, Panagiotis E. 39 2000 Stochastic homogenization of level-set convex Hamilton-Jacobi equations. Zbl 1319.35003 Armstrong, Scott N.; Souganidis, Panagiotis E. 38 2013 Scalar conservation laws with rough (stochastic) fluxes: the spatially dependent case. Zbl 1323.35233 Lions, Pierre-Louis; Perthame, Benoît; Souganidis, Panagiotis E. 34 2014 Stochastic homogenization of Hamilon-Jacobi and “viscous”-Hamilton-Jacobi equations with convex nonlinearities – revisited. Zbl 1197.35031 Lions, Pierre-Louis; Souganidis, Panagiotis E. 33 2010 Threshold dynamics type approximation schemes for propagating fronts. Zbl 0935.53006 Ishii, Hitoshi; Pires, Gabriel E.; Souganidis, Panagiotis E. 32 1999 Error estimates and convergence rates for the stochastic homogenization of Hamilton-Jacobi equations. Zbl 1286.35023 Armstrong, Scott N.; Cardaliaguet, Pierre; Souganidis, Panagiotis E. 32 2014 Front propagation: Theory and applications. Zbl 0882.35016 Souganidis, Panagiotis E. 29 1997 Convergence of MUSCL and filtered schemes for scalar conservation laws and Hamilton-Jacobi equations. Zbl 0834.65087 Lions, P.-L.; Souganidis, P. E. 29 1995 Homogenization and enhancement for the \(G\)-equation. Zbl 1294.35002 Cardaliaguet, P.; Nolen, J.; Souganidis, P. E. 29 2011 Maximal solutions and universal bounds for some partial differential equations of evolution. Zbl 0706.35067 Crandall, Michael G.; Lions, Pierre-Louis; Souganidis, Panagiotis E. 28 1989 Viscosity solutions for junctions: well posedness and stability. Zbl 1353.35111 Lions, Pierre-Louis; Souganidis, Panagiotis 28 2016 Singularities and uniqueness of cylindrically symmetric surfaces moving by mean curvature. Zbl 0804.53006 Soner, H. M.; Souganidis, P. E. 28 1993 PDE-viscosity solution approach to some problems of large deviations. Zbl 0622.60032 Fleming, Wendell H.; Souganidis, Panagiotis E. 27 1986 Asymptotic series and the method of vanishing viscosity. Zbl 0573.35034 Fleming, W. H.; Souganidis, P. E. 25 1986 Scalar conservation laws with multiple rough fluxes. Zbl 1329.60210 Gess, Benjamin; Souganidis, Panagiotis E. 25 2015 Stochastic non-isotropic degenerate parabolic-hyperbolic equations. Zbl 1372.60090 Gess, Benjamin; Souganidis, Panagiotis E. 25 2017 Homogenization and non-homogenization of certain non-convex Hamilton-Jacobi equations. Zbl 1380.35014 Feldman, William M.; Souganidis, Panagiotis E. 25 2017 Generalized motion by mean curvature as a macroscopic limit of stochastic Ising models with long range interactions and Glauber dynamics. Zbl 0821.60095 Katsoulakis, Markos A.; Souganidis, Panagiotis E. 24 1995 Max-min representations and product formulas for the viscosity solutions of Hamilton-Jacobi equations with applications to differential games. Zbl 0526.35018 Souganidis, Panagiotis E. 23 1985 Comparison of turbulent flame speeds from complete averaging and the G-equation. Zbl 1039.80504 Embid, Pedro F.; Majda, Andrew J.; Souganidis, Panagiotis E. 23 1995 Homogenization and enhancement of the \(G\)-equation in random environments. Zbl 1284.60126 Cardaliaguet, Pierre; Souganidis, Panagiotis E. 23 2013 Stochastic Ising models and anisotropic front propagation. Zbl 0937.82034 Katsoulakis, M. A.; Souganidis, P. E. 22 1997 A discussion about the homogenization of moving interfaces. Zbl 1180.35070 Cardaliaguet, P.; Lions, P.-L.; Souganidis, P. E. 22 2009 Rare mutations limit of a steady state dispersal evolution model. Zbl 1387.35027 Perthame, Benoit; Souganidis, P. E. 21 2016 Well-posedness for multi-dimensional junction problems with Kirchoff-type conditions. Zbl 1380.35055 Lions, Pierre-Louis; Souganidis, Panagiotis E. 20 2017 Stochastic averaging lemmas for kinetic equations. Zbl 1323.35234 Lions, Pierre-Louis; Perthame, Benoît; Souganidis, Panagiotis E. 19 2013 Ergodic problems and periodic homogenization for fully nonlinear equations in half-space type domains with Neumann boundary conditions. Zbl 1173.35013 Barles, G.; da Lio, F.; Lions, P.-L.; Souganidis, P. E. 18 2008 A PDE approach to certain large deviation problems for systems of parabolic equations. Zbl 0679.60040 Evans, L. C.; Souganidis, P. E. 17 1989 Uniqueness of motion by mean curvature perturbed by stochastic noise. Zbl 1057.35106 Souganidis, P. E.; Yip, N. K. 17 2004 Large-time behavior for viscous and nonviscous Hamilton–Jacobi equations forced by additive noise. Zbl 1099.35185 Dirr, Nicolas; Souganidis, Panagiotis E. 17 2005 Interacting particle systems and generalized evolution of fronts. Zbl 0808.76002 Katsoulakis, Markos A.; Souganidis, Panagiotis E. 17 1994 Flame fronts in a turbulent combustion model with fractal velocity fields. Zbl 0939.35097 Majda, Andrew J.; Souganidis, Panagiotis 16 1998 The relation between the porous medium and the eikonal equations in several space dimensions. Zbl 0697.35012 Lions, P. L.; Souganidis, P. E.; Vázquez, J. L. 16 1987 Eikonal equations and pathwise solutions to fully non-linear SPDEs. Zbl 1377.35293 Friz, Peter K.; Gassiat, Paul; Lions, Pierre-Louis; Souganidis, Panagiotis E. 15 2017 Finite volume schemes for Hamilton-Jacobi equations. Zbl 0938.65089 Kossioris, G.; Makridakis, Ch.; Souganidis, P. E. 14 1999 Front propagation for a jump process model arising in spacial ecology. Zbl 1085.35017 Perthame, Benoît; Souganidis, P. E. 14 2005 Convergence of difference approximations of quasilinear evolution equations. Zbl 0637.47038 Crandall, Michael G.; Souganidis, Panagiotis E. 14 1986 Anisotropic motion of an interface relaxed by the formation of infinitesimal wrinkles. Zbl 0828.35054 Gurtin, M. E.; Soner, H. M.; Souganidis, P. E. 14 1995 Asymmetric potentials and motor effect: a homogenization approach. Zbl 1180.35081 Perthame, Benoît; Souganidis, Panagiotis E. 14 2009 Some counterexamples on the asymptotic behavior of the solutions of Hamilton-Jacobi equations. Zbl 0954.35046 Barles, Guy; Souganidis, Panagiotis E. 13 2000 Dissipative and entropy solutions to non-isotropic degenerate parabolic balance laws. Zbl 1059.35044 Perthame, Benoît; Souganidis, P. E. 13 2003 Front propagation for integro-differential KPP reaction-diffusion equations in periodic media. Zbl 1423.35212 Souganidis, Panagiotis E.; Tarfulea, Andrei 12 2019 Free boundary problems for tumor growth: a viscosity solutions approach. Zbl 1334.35360 Kim, Inwon C.; Perthame, Benoît; Souganidis, Panagiotis E. 11 2016 Existence and uniqueness of weak solutions for precipitation fronts: a novel hyperbolic free boundary problem in several space variables. Zbl 1204.35068 Majda, Andrew J.; Souganidis, Panagiotis E. 10 2010 Time fluctuations in a population model of adaptive dynamics. Zbl 1312.35011 Mirrahimi, Sepideh; Perthame, Benoît; Souganidis, Panagiotis E. 10 2015 Phase-field theory for Fitzhugh-Nagumo-type systems. Zbl 0863.35047 Soravia, Pierpaolo; Souganidis, Panagiotis E. 10 1996 Front propagation for reaction-diffusion equations of bistable type. Zbl 0794.35076 Barles, G.; Bronsard, L.; Souganidis, P. E. 10 1992 On the existence of correctors for the stochastic homogenization of viscous Hamilton-Jacobi equations. (Sur l’existence de correcteurs en homogénéisation stochastique d’équations de Hamilton-Jacobi.) Zbl 1368.35025 Cardaliaguet, Pierre; Souganidis, Panagiotis E. 10 2017 Viscosity solutions of second-order equations, stochastic control and stochastic differential games. Zbl 0825.49042 Lions, P.-L.; Souganidis, P. E. 10 1988 A remark about viscosity solutions of Hamilton-Jacobi equations at the boundary. Zbl 0598.35066 Souganidis, P. E. 9 1986 A regularity result for viscosity solutions of Hamilton-Jacobi equations in one space dimension. Zbl 0657.35083 Jensen, R.; Souganidis, P. E. 9 1987 Semi-discretization for stochastic scalar conservation laws with multiple rough fluxes. Zbl 1345.60069 Gess, Benjamin; Perthame, Benoît; Souganidis, Panagiotis E. 9 2016 Speed of propagation for Hamilton-Jacobi equations with multiplicative rough time dependence and convex Hamiltonians. Zbl 1434.60155 Gassiat, Paul; Gess, Benjamin; Lions, Pierre-Louis; Souganidis, Panagiotis E. 9 2020 Monotone solutions of the master equation for mean field games with idiosyncratic noise. Zbl 1497.35471 Cardaliaguet, Pierre; Souganidis, Panagiotis 9 2022 A PDE approach to small stochastic perturbations of Hamiltonian flows. Zbl 1287.37036 Ishii, Hitoshi; Souganidis, Panagiotis E. 9 2012 Large time average of reachable sets and applications to homogenization of interfaces moving with oscillatory spatio-temporal velocity. Zbl 1409.35025 Jing, Wenjia; Souganidis, Panagiotis E.; Tran, Hung V. 9 2018 Convergence of MUSCL type methods for scalar conservation laws. Zbl 0712.65082 Lions, Pierre-Louis; Souganidis, Panagiotis 8 1990 Two-player, zero-sum differential games and viscosity solutions. Zbl 0947.91014 Souganidis, Panagiotis E. 8 1999 New regularity results for Hamilton-Jacobi equations and long time behavior of pathwise (stochastic) viscosity solutions. Zbl 1444.60065 Lions, Pierre-Louis; Souganidis, Panagiotis E. 8 2020 A remark on the asymptotic behavior of the solution of the KPP equation. Zbl 0807.60076 Barles, Guy; Souganidis, Panagiotis E. 8 1994 Pathwise solutions for fully nonlinear first- and second-order partial differential equations with multiplicative rough time dependence. Zbl 1498.60399 Souganidis, Panagiotis E. 8 2019 Asymmetric potentials and motor effect: a large deviation approach. Zbl 1171.82012 Perthame, Benoît; Souganidis, Panagiotis E. 7 2009 Remarks on the Dirichlet problem for quasilinear elliptic and parabolic equations. Zbl 0928.35049 Barles, Guy; Rouy, Elisabeth; Souganidis, Panagiotis E. 7 1999 Stochastic homogenization of interfaces moving with changing sign velocity. Zbl 1308.35024 Ciomaga, Adina; Souganidis, Panagiotis E.; Tran, Hung V. 7 2015 Extended mean-field games. Zbl 1460.35020 Lions, Pierre-Louis; Souganidis, Panagiotis E. 7 2020 On nonlinear equations of evolution. Zbl 0686.47048 Crandall, Michael G.; Souganidis, Panagiotis E. 6 1989 Long-time behavior of stochastic Hamilton-Jacobi equations. Zbl 1532.35055 Gassiat, Paul; Gess, Benjamin; Lions, Pierre-Louis; Souganidis, Panagiotis E. 1 2024 Regularity of the value function and quantitative propagation of chaos for mean field control problems. Zbl 1511.49025 Cardaliaguet, Pierre; Souganidis, Panagiotis E. 5 2023 Price setting with strategic complementarities as a mean field game. Zbl 1541.91176 Alvarez, Fernando; Lippi, Francesco; Souganidis, Panagiotis 2 2023 An algebraic convergence rate for the optimal control of McKean-Vlasov dynamics. Zbl 1533.93839 Cardaliaguet, Pierre; Daudin, Samuel; Jackson, Joe; Souganidis, Panagiotis E. 2 2023 Comparison principles for second-order elliptic/parabolic equations with discontinuities in the gradient compatible with Finsler norms. Zbl 1514.35135 Morfe, Peter S.; Souganidis, Panagiotis E. 1 2023 Monotone solutions of the master equation for mean field games with idiosyncratic noise. Zbl 1497.35471 Cardaliaguet, Pierre; Souganidis, Panagiotis 9 2022 On first order mean field game systems with a common noise. Zbl 1498.91040 Cardaliaguet, Pierre; Souganidis, Panagiotis E. 4 2022 Scaling limits and stochastic homogenization for some nonlinear parabolic equations. Zbl 1479.35058 Cardaliaguet, Pierre; Dirr, Nicolas; Souganidis, Panagiotis E. 4 2022 Convergence of deterministic growth models. Zbl 1501.35129 Chatterjee, Sourav; Souganidis, Panagiotis E. 3 2022 Interpolation results for pathwise Hamilton-Jacobi equations. Zbl 1501.35131 Lions, Pierre-Louis; Seeger, Benjamin; Souganidis, Panagiotis 3 2022 Speed of propagation for Hamilton-Jacobi equations with multiplicative rough time dependence and convex Hamiltonians. Zbl 1434.60155 Gassiat, Paul; Gess, Benjamin; Lions, Pierre-Louis; Souganidis, Panagiotis E. 9 2020 New regularity results for Hamilton-Jacobi equations and long time behavior of pathwise (stochastic) viscosity solutions. Zbl 1444.60065 Lions, Pierre-Louis; Souganidis, Panagiotis E. 8 2020 Extended mean-field games. Zbl 1460.35020 Lions, Pierre-Louis; Souganidis, Panagiotis E. 7 2020 The asymptotics of stochastically perturbed reaction-diffusion equations and front propagation. Zbl 1453.60122 Lions, Pierre-Louis; Souganidis, Panagiotis E. 3 2020 Brownian fluctuations of flame fronts with small random advection. Zbl 1450.35307 Henderson, Christopher; Souganidis, Panagiotis E. 2 2020 Homogenization of the backward-forward mean-field games systems in periodic environments. Zbl 1467.35036 Lions, Pierre-Louis; Souganidis, Panagiotis E. 1 2020 Effective transmission conditions for second-order elliptic equations on networks in the limit of thin domains. Zbl 1455.35067 Lions, Pierre-Louis; Souganidis, Panagiotis E. 1 2020 Front propagation for integro-differential KPP reaction-diffusion equations in periodic media. Zbl 1423.35212 Souganidis, Panagiotis E.; Tarfulea, Andrei 12 2019 Pathwise solutions for fully nonlinear first- and second-order partial differential equations with multiplicative rough time dependence. Zbl 1498.60399 Souganidis, Panagiotis E. 8 2019 The deterministic and stochastic shallow lake problem. Zbl 1432.91090 Kossioris, G. T.; Loulakis, M.; Souganidis, P. E. 1 2019 Large time average of reachable sets and applications to homogenization of interfaces moving with oscillatory spatio-temporal velocity. Zbl 1409.35025 Jing, Wenjia; Souganidis, Panagiotis E.; Tran, Hung V. 9 2018 Super-linear propagation for a general, local cane toads model. Zbl 1407.35112 Henderson, Christopher; Perthame, Benoît; Souganidis, Panagiotis E. 4 2018 Perturbation problems in homogenization of Hamilton-Jacobi equations. Zbl 1403.35032 Cardaliaguet, Pierre; Le Bris, Claude; Souganidis, Panagiotis E. 3 2018 Long-time behavior, invariant measures, and regularizing effects for stochastic scalar conservation laws. Zbl 1370.60105 Gess, Benjamin; Souganidis, Panagiotis E. 43 2017 Stochastic non-isotropic degenerate parabolic-hyperbolic equations. Zbl 1372.60090 Gess, Benjamin; Souganidis, Panagiotis E. 25 2017 Homogenization and non-homogenization of certain non-convex Hamilton-Jacobi equations. Zbl 1380.35014 Feldman, William M.; Souganidis, Panagiotis E. 25 2017 Well-posedness for multi-dimensional junction problems with Kirchoff-type conditions. Zbl 1380.35055 Lions, Pierre-Louis; Souganidis, Panagiotis E. 20 2017 Eikonal equations and pathwise solutions to fully non-linear SPDEs. Zbl 1377.35293 Friz, Peter K.; Gassiat, Paul; Lions, Pierre-Louis; Souganidis, Panagiotis E. 15 2017 On the existence of correctors for the stochastic homogenization of viscous Hamilton-Jacobi equations. (Sur l’existence de correcteurs en homogénéisation stochastique d’équations de Hamilton-Jacobi.) Zbl 1368.35025 Cardaliaguet, Pierre; Souganidis, Panagiotis E. 10 2017 Stochastic homogenization of viscous superquadratic Hamilton-Jacobi equations in dynamic random environment. Zbl 1358.35012 Jing, Wenjia; Souganidis, Panagiotis E.; Tran, Hung V. 6 2017 Metastability for parabolic equations with drift. II: The quasilinear case. Zbl 1387.35052 Ishii, Hitoshi; Souganidis, Panagiotis E. 3 2017 Viscosity solutions for junctions: well posedness and stability. Zbl 1353.35111 Lions, Pierre-Louis; Souganidis, Panagiotis 28 2016 Rare mutations limit of a steady state dispersal evolution model. Zbl 1387.35027 Perthame, Benoit; Souganidis, P. E. 21 2016 Free boundary problems for tumor growth: a viscosity solutions approach. Zbl 1334.35360 Kim, Inwon C.; Perthame, Benoît; Souganidis, Panagiotis E. 11 2016 Semi-discretization for stochastic scalar conservation laws with multiple rough fluxes. Zbl 1345.60069 Gess, Benjamin; Perthame, Benoît; Souganidis, Panagiotis E. 9 2016 Scalar conservation laws with multiple rough fluxes. Zbl 1329.60210 Gess, Benjamin; Souganidis, Panagiotis E. 25 2015 Time fluctuations in a population model of adaptive dynamics. Zbl 1312.35011 Mirrahimi, Sepideh; Perthame, Benoît; Souganidis, Panagiotis E. 10 2015 Stochastic homogenization of interfaces moving with changing sign velocity. Zbl 1308.35024 Ciomaga, Adina; Souganidis, Panagiotis E.; Tran, Hung V. 7 2015 Quantitative homogenization of elliptic partial differential equations with random oscillatory boundary data. Zbl 1418.35025 Feldman, William M.; Kim, Inwon C.; Souganidis, Panagiotis E. 5 2015 Metastability for parabolic equations with drift. I. Zbl 1327.35140 Ishii, Hitoshi; Souganidis, Panagiotis E. 4 2015 Periodic approximations of the ergodic constants in the stochastic homogenization of nonlinear second-order (degenerate) equations. Zbl 1320.35040 Cardaliaguet, Pierre; Souganidis, Panagiotis E. 2 2015 Scalar conservation laws with rough (stochastic) fluxes: the spatially dependent case. Zbl 1323.35233 Lions, Pierre-Louis; Perthame, Benoît; Souganidis, Panagiotis E. 34 2014 Error estimates and convergence rates for the stochastic homogenization of Hamilton-Jacobi equations. Zbl 1286.35023 Armstrong, Scott N.; Cardaliaguet, Pierre; Souganidis, Panagiotis E. 32 2014 Scalar conservation laws with rough (stochastic) fluxes. Zbl 1333.60140 Lions, Pierre-Louis; Perthame, Benoît; Souganidis, Panagiotis E. 43 2013 Stochastic homogenization of level-set convex Hamilton-Jacobi equations. Zbl 1319.35003 Armstrong, Scott N.; Souganidis, Panagiotis E. 38 2013 Homogenization and enhancement of the \(G\)-equation in random environments. Zbl 1284.60126 Cardaliaguet, Pierre; Souganidis, Panagiotis E. 23 2013 Stochastic averaging lemmas for kinetic equations. Zbl 1323.35234 Lions, Pierre-Louis; Perthame, Benoît; Souganidis, Panagiotis E. 19 2013 A homogenization approach for the motion of motor proteins. Zbl 1262.35023 Mirrahimi, S.; Souganidis, P. E. 6 2013 Concentration phenomena for neutronic multigroup diffusion in random environments. Zbl 1294.82044 Armstrong, Scott N.; Souganidis, Panagiotis E. 2 2013 Stochastic homogenization of Hamilton-Jacobi and degenerate Bellman equations in unbounded environments. Zbl 1246.35029 Armstrong, Scott N.; Souganidis, Panagiotis E. 47 2012 A PDE approach to small stochastic perturbations of Hamiltonian flows. Zbl 1287.37036 Ishii, Hitoshi; Souganidis, Panagiotis E. 9 2012 A singular Hamilton-Jacobi equation modeling the tail problem. Zbl 1280.35007 Mirrahimi, Sepideh; Barles, Guy; Perthame, Benoît; Souganidis, Panagiotis E. 6 2012 Homogenization and enhancement for the \(G\)-equation. Zbl 1294.35002 Cardaliaguet, P.; Nolen, J.; Souganidis, P. E. 29 2011 A homogenization approach to flashing ratchets. Zbl 1209.35013 Perthame, Benoît; Souganidis, Panagiotis E. 4 2011 Rates of convergence for the homogenization of fully nonlinear uniformly elliptic PDE in random media. Zbl 1192.35048 Caffarelli, Luis A.; Souganidis, Panagiotis E. 53 2010 Convergence of nonlocal threshold dynamics approximations to front propagation. Zbl 1190.65132 Caffarelli, Luis A.; Souganidis, Panagiotis E. 48 2010 Stochastic homogenization of Hamilon-Jacobi and “viscous”-Hamilton-Jacobi equations with convex nonlinearities – revisited. Zbl 1197.35031 Lions, Pierre-Louis; Souganidis, Panagiotis E. 33 2010 Existence and uniqueness of weak solutions for precipitation fronts: a novel hyperbolic free boundary problem in several space variables. Zbl 1204.35068 Majda, Andrew J.; Souganidis, Panagiotis E. 10 2010 A discussion about the homogenization of moving interfaces. Zbl 1180.35070 Cardaliaguet, P.; Lions, P.-L.; Souganidis, P. E. 22 2009 Asymmetric potentials and motor effect: a homogenization approach. Zbl 1180.35081 Perthame, Benoît; Souganidis, Panagiotis E. 14 2009 Asymmetric potentials and motor effect: a large deviation approach. Zbl 1171.82012 Perthame, Benoît; Souganidis, Panagiotis E. 7 2009 Asymptotic and numerical homogenization. Zbl 1179.65142 Engquist, B.; Souganidis, P. E. 47 2008 A rate of convergence for monotone finite difference approximations to fully nonlinear, uniformly elliptic PDEs. Zbl 1140.65075 Caffarelli, Luis A.; Souganidis, Panagiotis E. 41 2008 Ergodic problems and periodic homogenization for fully nonlinear equations in half-space type domains with Neumann boundary conditions. Zbl 1173.35013 Barles, G.; da Lio, F.; Lions, P.-L.; Souganidis, P. E. 18 2008 Homogenization of fully nonlinear, uniformly elliptic and parabolic partial differential equations in stationary ergodic media. Zbl 1063.35025 Caffarelli, Luis A.; Souganidis, Panagiotis E.; Wang, L. 70 2005 Homogenization of “viscous” Hamilton–Jacobi equations in stationary ergodic media. Zbl 1065.35047 Lions, Pierre-Louis; Souganidis, Panagiotis E. 67 2005 Homogenization of degenerate second-order PDE in periodic and almost periodic environments and applications. Zbl 1135.35092 Lions, Pierre-Louis; Souganidis, Panagiotis E. 50 2005 Large-time behavior for viscous and nonviscous Hamilton–Jacobi equations forced by additive noise. Zbl 1099.35185 Dirr, Nicolas; Souganidis, Panagiotis E. 17 2005 Front propagation for a jump process model arising in spacial ecology. Zbl 1085.35017 Perthame, Benoît; Souganidis, P. E. 14 2005 Uniqueness of motion by mean curvature perturbed by stochastic noise. Zbl 1057.35106 Souganidis, P. E.; Yip, N. K. 17 2004 Addendum to: “Dissipative and entropy solutions to non-isotropic degenerate parabolic balance laws”. Zbl 1060.35061 Perthame, Benoît; Souganidis, Panagiotis E. 3 2004 Correctors for the homogenization of Hamilton-Jacobi equations in the stationary ergodic setting. Zbl 1050.35012 Lions, Pierre-Louis; Souganidis, Panagiotis E. 65 2003 Dissipative and entropy solutions to non-isotropic degenerate parabolic balance laws. Zbl 1059.35044 Perthame, Benoît; Souganidis, P. E. 13 2003 Recent developments in the theory of front propagation and its applications. Zbl 1052.35097 Souganidis, Panagiotis E. 1 2002 Space-time periodic solutions and long-time behavior of solutions to quasi-linear parabolic equations. Zbl 0986.35047 Barles, G.; Souganidis, P. E. 60 2001 On the large time behavior of solutions of Hamilton-Jacobi equations. Zbl 0960.70015 Barles, G.; Souganidis, Panagiotis E. 64 2000 Uniqueness of weak solutions of fully nonlinear stochastic partial differential equations. Zbl 0970.60072 Lions, Pierre-Louis; Souganidis, Panagiotis E. 41 2000 Fully nonlinear stochastic PDE with semilinear stochastic dependence. Zbl 0966.60058 Lions, Pierre-Louis; Souganidis, Panagiotis E. 39 2000 Some counterexamples on the asymptotic behavior of the solutions of Hamilton-Jacobi equations. Zbl 0954.35046 Barles, Guy; Souganidis, Panagiotis E. 13 2000 The effect of turbulence on mixing in prototype reaction-diffusion systems. Zbl 1027.35048 Majda, Andrew; Souganidis, Panagiotis 1 2000 Stochastic homogenization of Hamilton-Jacobi equations and some applications. Zbl 0935.35008 Souganidis, Panagiotis E. 69 1999 Threshold dynamics type approximation schemes for propagating fronts. Zbl 0935.53006 Ishii, Hitoshi; Pires, Gabriel E.; Souganidis, Panagiotis E. 32 1999 Finite volume schemes for Hamilton-Jacobi equations. Zbl 0938.65089 Kossioris, G.; Makridakis, Ch.; Souganidis, P. E. 14 1999 Two-player, zero-sum differential games and viscosity solutions. Zbl 0947.91014 Souganidis, Panagiotis E. 8 1999 Remarks on the Dirichlet problem for quasilinear elliptic and parabolic equations. Zbl 0928.35049 Barles, Guy; Rouy, Elisabeth; Souganidis, Panagiotis E. 7 1999 Nonlinear stochastic partial differential equations and viscosity solutions. (Équations aux dérivées partielles stochastiques nonlinéaires et solutions de viscosité.) Zbl 1061.35530 Lions, P.-L.; Souganidis, P. E. 6 1999 Fully nonlinear stochastic partial differential equations: Non-smooth equations and applications. Zbl 0924.35203 Lions, Pierre-Louis; Souganidis, Panagiotis E. 73 1998 A new approach to front propagation problems: theory and applications. Zbl 0904.35034 Barles, Guy; Souganidis, Panagiotis E. 72 1998 Fully nonlinear stochastic partial differential equations. Zbl 1002.60552 Lions, Pierre-Louis; Souganidis, Panagiotis E. 70 1998 A limiting case for velocity averaging. Zbl 0956.45010 Perthame, B.; Souganidis, P. E. 52 1998 Flame fronts in a turbulent combustion model with fractal velocity fields. Zbl 0939.35097 Majda, Andrew J.; Souganidis, Panagiotis 16 1998 Front propagation: Theory and applications. Zbl 0882.35016 Souganidis, Panagiotis E. 29 1997 Stochastic Ising models and anisotropic front propagation. Zbl 0937.82034 Katsoulakis, M. A.; Souganidis, P. E. 22 1997 Front propagation for reaction-diffusion equations arising in combustion theory. Zbl 0882.35062 Barles, G.; Georgelin, C.; Souganidis, P. E. 4 1997 Existence and stability of entropy solutions for the hyperbolic systems of isentropic gas dynamics in Eulerian and Lagrangian coordinates. Zbl 0853.76077 Lions, Pierre-Louis; Perthame, Benoît; Souganidis, Panagiotis E. 171 1996 Phase-field theory for Fitzhugh-Nagumo-type systems. Zbl 0863.35047 Soravia, Pierpaolo; Souganidis, Panagiotis E. 10 1996 Bounds on enhanced turbulent flame speeds for combustion with fractal velocity fields. Zbl 1260.80008 Majda, Andrew J.; Souganidis, Panagiotis E. 4 1996 Weak stability of isentropic gas dynamics for \(\gamma=5/3\). Zbl 0892.35099 Lions, P.-L.; Perthame, B.; Souganidis, P. E. 2 1996 Generalized motion of noncompact hypersurfaces with velocity having arbitrary growth on the curvature tensor. Zbl 0837.35066 Ishii, Hitoshi; Souganidis, Panagiotis 49 1995 Convergence of MUSCL and filtered schemes for scalar conservation laws and Hamilton-Jacobi equations. Zbl 0834.65087 Lions, P.-L.; Souganidis, P. E. 29 1995 ...and 42 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 3,043 Authors 67 Souganidis, Panagiotis E. 43 Barles, Guy 40 Perthame, Benoît 33 Lions, Pierre-Louis 29 Lu, Yunguang 29 Tran Vinh Hung 27 Cardaliaguet, Pierre 25 Gess, Benjamin 24 Ishii, Hitoshi 23 Mitake, Hiroyoshi 23 Novaga, Matteo 22 Giga, Yoshikazu 20 Camilli, Fabio 20 Chen, Gui-Qiang G. 19 Kim, Inwon Christina 19 Valdinoci, Enrico 18 Karlsen, Kenneth Hvistendahl 18 Soner, Halil Mete 18 Yoshioka, Hidekazu 16 Armstrong, Scott N. 16 Ley, Olivier 16 Xin, Jack X. 16 Yu, Yifeng 15 Feng, Xiaobing 15 Huang, Feimin 15 Mirrahimi, Sepideh 15 Oberman, Adam M. 14 Buckdahn, Rainer 14 Cesaroni, Annalisa 14 Jakobsen, Espen Robstad 14 Siconolfi, Antonio 13 Falcone, Maurizio 13 Forsyth, Peter A. 13 Le Bris, Claude 13 Liu, Qing 13 Reisinger, Christoph 12 Bayraktar, Erhan 12 Muñoz, Claudio 12 Natali, Fábio M. Amorin 12 Roquejoffre, Jean-Michel 12 Zhang, Jianfeng 12 Zidani, Hasnaa 11 Barron, Emmanuel Nicholas 11 Bellettini, Giovanni 11 Crandall, Michael G. 11 Dipierro, Serena 11 Krylov, Nicolaĭ Vladimirovich 11 Lam, King-Yeung 11 Legoll, Frédéric 11 Monneau, Régis 11 Quincampoix, Marc 11 Ryzhik, Lenya 10 Bardi, Martino 10 Caffarelli, Luis Ángel 10 Chasseigne, Emmanuel 10 Evans, Lawrence Craig 10 Friz, Peter 10 Henderson, Christopher 10 Katsoulakis, Markos A. 10 Klingenberg, Christian 10 Laux, Tim 10 Seeger, Benjamin 10 Touzi, Nizar 9 Berestycki, Henri 9 Bona, Jerry Lloyd 9 Bouchut, François 9 Bouin, Emeric 9 Chambolle, Antonin 9 Chen, Xinfu 9 Davini, Andrea 9 Forcadel, Nicolas 9 Froese Hamfeldt, Brittany 9 Gassiat, Paul 9 Guillen, Nestor 9 Lewis, Thomas Lee 9 Li, Juan 9 Marchi, Claudio 9 Martel, Yvan 9 Nochetto, Ricardo Horacio 9 Schwab, Russell W. 9 Wang, Dehua 9 Zhang, Weiguo 8 Bouchard, Bruno 8 El Hajj, Ahmad 8 Ferretti, Roberto Giorgio 8 Fischer, Julian 8 Frid, Hermano 8 Gomes, Diogo Luís Aguiar 8 Hamamuki, Nao 8 Hilhorst, Danielle 8 Imbert, Cyril 8 Lorenzi, Tommaso 8 Majda, Andrew J. 8 Nguyen, Vinh Duc 8 Osher, Stanley Joel 8 Pastor, Ademir 8 Picarelli, Athena 8 Qian, Jianliang 8 Świȩch, Andrzej 8 Taras’ev, Aleksandr Mikhaĭlovich ...and 2,943 more Authors all top 5 Cited in 384 Serials 130 Journal of Differential Equations 95 Archive for Rational Mechanics and Analysis 89 Communications in Partial Differential Equations 66 Nonlinear Analysis. 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(English Edition) 7 Advances in Calculus of Variations 6 Systems & Control Letters 6 Acta Applicandae Mathematicae ...and 284 more Serials all top 5 Cited in 51 Fields 2,000 Partial differential equations (35-XX) 673 Calculus of variations and optimal control; optimization (49-XX) 574 Numerical analysis (65-XX) 486 Probability theory and stochastic processes (60-XX) 413 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 334 Fluid mechanics (76-XX) 251 Systems theory; control (93-XX) 173 Differential geometry (53-XX) 151 Statistical mechanics, structure of matter (82-XX) 140 Dynamical systems and ergodic theory (37-XX) 135 Biology and other natural sciences (92-XX) 101 Mechanics of deformable solids (74-XX) 80 Operator theory (47-XX) 78 Operations research, mathematical programming (90-XX) 66 Integral equations (45-XX) 63 Ordinary differential equations (34-XX) 61 Classical thermodynamics, heat transfer (80-XX) 59 Mechanics of particles and systems (70-XX) 45 Computer science (68-XX) 42 Global analysis, analysis on manifolds (58-XX) 26 Real functions (26-XX) 24 Optics, electromagnetic theory (78-XX) 21 Functional analysis (46-XX) 20 Geophysics (86-XX) 17 Measure and integration (28-XX) 15 Information and communication theory, circuits (94-XX) 14 Statistics (62-XX) 12 Quantum theory (81-XX) 9 Difference and functional equations (39-XX) 9 Harmonic analysis on Euclidean spaces (42-XX) 8 General and overarching topics; collections (00-XX) 8 Potential theory (31-XX) 8 Convex and discrete geometry (52-XX) 7 Approximations and expansions (41-XX) 6 Astronomy and astrophysics (85-XX) 5 Linear and multilinear algebra; matrix theory (15-XX) 4 Combinatorics (05-XX) 4 Topological groups, Lie groups (22-XX) 4 Relativity and gravitational theory (83-XX) 2 Functions of a complex variable (30-XX) 2 Integral transforms, operational calculus (44-XX) 2 Geometry (51-XX) 1 History and biography (01-XX) 1 Mathematical logic and foundations (03-XX) 1 Algebraic geometry (14-XX) 1 Nonassociative rings and algebras (17-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Special functions (33-XX) 1 Sequences, series, summability (40-XX) 1 Abstract harmonic analysis (43-XX) 1 General topology (54-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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