Edit Profile Souganidis, Panagiotis E. Compute Distance To: Compute Author ID: souganidis.panagiotis-e Published as: Souganidis, Panagiotis E.; Souganidis, P. E.; Souganidis, Panagiotis Documents Indexed: 140 Publications since 1984 all top 5 Co-Authors 12 single-authored 35 Lions, Pierre-Louis 20 Perthame, Benoît 12 Barles, Guy 7 Cardaliaguet, Pierre 7 Fleming, Wendell Helms 6 Ishii, Hitoshi 6 Majda, Andrew J. 5 Armstrong, Scott N. 5 Gess, Benjamin 4 Caffarelli, Luis Ángel 4 Crandall, Michael G. 4 Evans, Lawrence Craig 4 Soner, Halil Mete 4 Tran Vinh Hung 3 Henderson, Christopher 3 Katsoulakis, Markos A. 3 Mirrahimi, Sepideh 2 Feldman, William M. 2 Gassiat, Paul 2 Jing, Wenjia 2 Kim, Inwon Christina 2 Strauss, Walter Alexander 1 Bona, Jerry Lloyd 1 Bronsard, Lia 1 Ciomaga, Adina 1 Da Lio, Francesca 1 Dirr, Nicolas Peter 1 Embid, Pedro F. 1 Engquist, Bjorn E. 1 Friedman, Avner 1 Friz, Peter Karl 1 Georgelin, Christine A. 1 Gurtin, Morton Edward 1 Le Bris, Claude 1 Loulakis, Michail 1 Pires, Gabriel E. 1 Rouy, Elisabeth 1 Shi, Jin 1 Soravia, Pierpaolo 1 Tarfulea, Andrei 1 Vanden-Eijnden, Eric 1 Vazquez, Juan Luis 1 Wang, Lihe 1 Wang, Xiaoming 1 Yip, Nung Kwan all top 5 Serials 10 Communications on Pure and Applied Mathematics 9 Indiana University Mathematics Journal 8 Archive for Rational Mechanics and Analysis 8 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 5 Journal of Differential Equations 5 Journal de Mathématiques Pures et Appliquées. Neuvième Série 5 SIAM Journal on Mathematical Analysis 5 Comptes Rendus de l’Académie des Sciences. Série I. Mathématique 4 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni 4 NoDEA. Nonlinear Differential Equations and Applications 4 Comptes Rendus. Mathématique. Académie des Sciences, Paris 3 SIAM Journal on Control and Optimization 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 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 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 Tohoku 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 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 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 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 125 Partial differential equations (35-XX) 31 Calculus of variations and optimal control; optimization (49-XX) 30 Probability theory and stochastic processes (60-XX) 17 Fluid mechanics (76-XX) 15 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 10 Numerical analysis (65-XX) 10 Statistical mechanics, structure of matter (82-XX) 9 Biology and other natural sciences (92-XX) 8 Classical thermodynamics, heat transfer (80-XX) 6 Dynamical systems and ergodic theory (37-XX) 6 Operator theory (47-XX) 6 Mechanics of particles and systems (70-XX) 5 Integral equations (45-XX) 5 Differential geometry (53-XX) 5 Systems theory; control (93-XX) 3 Operations research, mathematical programming (90-XX) 2 Optics, electromagnetic theory (78-XX) 1 History and biography (01-XX) 1 Ordinary differential equations (34-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Mechanics of deformable solids (74-XX) 1 Quantum theory (81-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 124 Publications have been cited 3,339 times in 2,125 Documents Cited by ▼ Year ▼ Convergence of approximation schemes for fully nonlinear second order equations. Zbl 0729.65077Barles, G.; Souganidis, P. E. 305 1991 Phase transitions and generalized motion by mean curvature. Zbl 0801.35045Evans, L. C.; Soner, H. M.; Souganidis, P. E. 203 1992 Stability and instability of solitary waves of Korteweg-de Vries type. Zbl 0648.76005Bona, J. L.; Souganidis, P. E.; Strauss, W. A. 159 1987 Differential games and representation formulas for solutions of Hamilton-Jacobi-Isaacs equations. Zbl 1169.91317Evans, L. C.; Souganidis, P. E. 157 1984 Existence and stability of entropy solutions for the hyperbolic systems of isentropic gas dynamics in Eulerian and Lagrangian coordinates. Zbl 0853.76077Lions, Pierre-Louis; Perthame, Benoît; Souganidis, Panagiotis E. 127 1996 Front propagation and phase field theory. Zbl 0785.35049Barles, G.; Soner, H. M.; Souganidis, P. E. 126 1993 On the existence of value functions of two-player, zero-sum stochastic differential games. Zbl 0686.90049Fleming, W. H.; Souganidis, P. E. 125 1989 Approximation schemes for viscosity solutions of Hamilton-Jacobi equations. Zbl 0536.70020Souganidis, Panagiotis E. 78 1985 A PDE approach to geometric optics for certain semilinear parabolic equations. Zbl 0692.35014Evans, L. C.; Souganidis, P. E. 63 1989 Large scale front dynamics for turbulent reaction-diffusion equations with separated velocity scales. Zbl 0839.76093Majda, Andrew J.; Souganidis, Panagiotis E. 59 1994 Correctors for the homogenization of Hamilton-Jacobi equations in the stationary ergodic setting. Zbl 1050.35012Lions, Pierre-Louis; Souganidis, Panagiotis E. 58 2003 Homogenization of fully nonlinear, uniformly elliptic and parabolic partial differential equations in stationary ergodic media. Zbl 1063.35025Caffarelli, Luis A.; Souganidis, Panagiotis E.; Wang, L. 56 2005 Fully nonlinear stochastic partial differential equations. Zbl 1002.60552Lions, Pierre-Louis; Souganidis, Panagiotis E. 55 1998 Homogenization of “viscous” Hamilton–Jacobi equations in stationary ergodic media. Zbl 1065.35047Lions, Pierre-Louis; Souganidis, Panagiotis E. 55 2005 A new approach to front propagation problems: theory and applications. Zbl 0904.35034Barles, Guy; Souganidis, Panagiotis E. 55 1998 Fully nonlinear stochastic partial differential equations: Non-smooth equations and applications. Zbl 0924.35203Lions, Pierre-Louis; Souganidis, Panagiotis E. 54 1998 Stochastic homogenization of Hamilton-Jacobi equations and some applications. Zbl 0935.35008Souganidis, Panagiotis E. 53 1999 Differential games, optimal control and directional derivatives of viscosity solutions of Bellman’s and Isaacs’ equations. Zbl 0569.49019Lions, Pierre-Louis; Souganidis, P. E. 52 1985 On the large time behavior of solutions of Hamilton-Jacobi equations. Zbl 0960.70015Barles, G.; Souganidis, Panagiotis E. 52 2000 Space-time periodic solutions and long-time behavior of solutions to quasi-linear parabolic equations. Zbl 0986.35047Barles, G.; Souganidis, P. E. 51 2001 A uniqueness result for viscosity solutions of second order fully nonlinear partial differential equations. Zbl 0662.35048Jensen, R.; Lions, P.-L.; Souganidis, P. E. 48 1988 Instability of a class of dispersive solitary waves. Zbl 0713.35108Souganidis, P. E.; Strauss, W. A. 48 1990 Stochastic homogenization of Hamilton-Jacobi and degenerate Bellman equations in unbounded environments. Zbl 1246.35029Armstrong, Scott N.; Souganidis, Panagiotis E. 42 2012 Rates of convergence for the homogenization of fully nonlinear uniformly elliptic PDE in random media. Zbl 1192.35048Caffarelli, Luis A.; Souganidis, Panagiotis E. 40 2010 Existence of viscosity solutions of Hamilton-Jacobi equations. Zbl 0506.35020Souganidis, Panagiotis E. 40 1985 Generalized motion of noncompact hypersurfaces with velocity having arbitrary growth on the curvature tensor. Zbl 0837.35066Ishii, Hitoshi; Souganidis, Panagiotis 40 1995 A limiting case for velocity averaging. Zbl 0956.45010Perthame, B.; Souganidis, P. E. 38 1998 Homogenization of degenerate second-order PDE in periodic and almost periodic environments and applications. Zbl 1135.35092Lions, Pierre-Louis; Souganidis, Panagiotis E. 36 2005 A rate of convergence for monotone finite difference approximations to fully nonlinear, uniformly elliptic PDEs. Zbl 1140.65075Caffarelli, Luis A.; Souganidis, Panagiotis E. 31 2008 Stochastic homogenization of Hamilon-Jacobi and “viscous”-Hamilton-Jacobi equations with convex nonlinearities – revisited. Zbl 1197.35031Lions, Pierre-Louis; Souganidis, Panagiotis E. 30 2010 Scalar conservation laws with rough (stochastic) fluxes. Zbl 1333.60140Lions, Pierre-Louis; Perthame, Benoît; Souganidis, Panagiotis E. 30 2013 Fully nonlinear stochastic PDE with semilinear stochastic dependence. Zbl 0966.60058Lions, Pierre-Louis; Souganidis, Panagiotis E. 30 2000 Stochastic homogenization of level-set convex Hamilton-Jacobi equations. Zbl 1319.35003Armstrong, Scott N.; Souganidis, Panagiotis E. 30 2013 Uniqueness of weak solutions of fully nonlinear stochastic partial differential equations. Zbl 0970.60072Lions, Pierre-Louis; Souganidis, Panagiotis E. 30 2000 Convergence of nonlocal threshold dynamics approximations to front propagation. Zbl 1190.65132Caffarelli, Luis A.; Souganidis, Panagiotis E. 29 2010 Convergence of MUSCL and filtered schemes for scalar conservation laws and Hamilton-Jacobi equations. Zbl 0834.65087Lions, P.-L.; Souganidis, P. E. 28 1995 Asymptotic and numerical homogenization. Zbl 1179.65142Engquist, B.; Souganidis, P. E. 27 2008 Singularities and uniqueness of cylindrically symmetric surfaces moving by mean curvature. Zbl 0804.53006Soner, H. M.; Souganidis, P. E. 26 1993 Scalar conservation laws with rough (stochastic) fluxes: the spatially dependent case. Zbl 1323.35233Lions, Pierre-Louis; Perthame, Benoît; Souganidis, Panagiotis E. 25 2014 Error estimates and convergence rates for the stochastic homogenization of Hamilton-Jacobi equations. Zbl 1286.35023Armstrong, Scott N.; Cardaliaguet, Pierre; Souganidis, Panagiotis E. 24 2014 Threshold dynamics type approximation schemes for propagating fronts. Zbl 0935.53006Ishii, Hitoshi; Pires, Gabriel E.; Souganidis, Panagiotis E. 24 1999 Long-time behavior, invariant measures, and regularizing effects for stochastic scalar conservation laws. Zbl 1370.60105Gess, Benjamin; Souganidis, Panagiotis E. 24 2017 PDE-viscosity solution approach to some problems of large deviations. Zbl 0622.60032Fleming, Wendell H.; Souganidis, Panagiotis E. 22 1986 Scalar conservation laws with multiple rough fluxes. Zbl 1329.60210Gess, Benjamin; Souganidis, Panagiotis E. 21 2015 Asymptotic series and the method of vanishing viscosity. Zbl 0573.35034Fleming, W. H.; Souganidis, P. E. 21 1986 Maximal solutions and universal bounds for some partial differential equations of evolution. Zbl 0706.35067Crandall, Michael G.; Lions, Pierre-Louis; Souganidis, Panagiotis E. 21 1989 Generalized motion by mean curvature as a macroscopic limit of stochastic Ising models with long range interactions and Glauber dynamics. Zbl 0821.60095Katsoulakis, Markos A.; Souganidis, Panagiotis E. 19 1995 Viscosity solutions for junctions: well posedness and stability. Zbl 1353.35111Lions, Pierre-Louis; Souganidis, Panagiotis 19 2016 Front propagation: Theory and applications. Zbl 0882.35016Souganidis, Panagiotis E. 18 1997 Stochastic Ising models and anisotropic front propagation. Zbl 0937.82034Katsoulakis, M. A.; Souganidis, P. E. 18 1997 Comparison of turbulent flame speeds from complete averaging and the G-equation. Zbl 1039.80504Embid, Pedro F.; Majda, Andrew J.; Souganidis, Panagiotis E. 17 1995 Homogenization and enhancement for the \(G\)-equation. Zbl 1294.35002Cardaliaguet, P.; Nolen, J.; Souganidis, P. E. 16 2011 A discussion about the homogenization of moving interfaces. Zbl 1180.35070Cardaliaguet, P.; Lions, P.-L.; Souganidis, P. E. 16 2009 Homogenization and enhancement of the \(G\)-equation in random environments. Zbl 1284.60126Cardaliaguet, Pierre; Souganidis, Panagiotis E. 16 2013 Max-min representations and product formulas for the viscosity solutions of Hamilton-Jacobi equations with applications to differential games. Zbl 0526.35018Souganidis, Panagiotis E. 15 1985 Stochastic averaging lemmas for kinetic equations. Zbl 1323.35234Lions, Pierre-Louis; Perthame, Benoît; Souganidis, Panagiotis E. 14 2013 Ergodic problems and periodic homogenization for fully nonlinear equations in half-space type domains with Neumann boundary conditions. Zbl 1173.35013Barles, G.; da Lio, F.; Lions, P.-L.; Souganidis, P. E. 14 2008 The relation between the porous medium and the eikonal equations in several space dimensions. Zbl 0697.35012Lions, P. L.; Souganidis, P. E.; Vázquez, J. L. 14 1987 Finite volume schemes for Hamilton-Jacobi equations. Zbl 0938.65089Kossioris, G.; Makridakis, Ch.; Souganidis, P. E. 14 1999 Stochastic non-isotropic degenerate parabolic-hyperbolic equations. Zbl 1372.60090Gess, Benjamin; Souganidis, Panagiotis E. 14 2017 Interacting particle systems and generalized evolution of fronts. Zbl 0808.76002Katsoulakis, Markos A.; Souganidis, Panagiotis E. 13 1994 Front propagation for a jump process model arising in spacial ecology. Zbl 1085.35017Perthame, Benoît; Souganidis, P. E. 13 2005 A PDE approach to certain large deviation problems for systems of parabolic equations. Zbl 0679.60040Evans, L. C.; Souganidis, P. E. 13 1989 Flame fronts in a turbulent combustion model with fractal velocity fields. Zbl 0939.35097Majda, Andrew J.; Souganidis, Panagiotis 13 1998 Some counterexamples on the asymptotic behavior of the solutions of Hamilton-Jacobi equations. Zbl 0954.35046Barles, Guy; Souganidis, Panagiotis E. 12 2000 Rare mutations limit of a steady state dispersal evolution model. Zbl 1387.35027Perthame, Benoit; Souganidis, P. E. 12 2016 Convergence of difference approximations of quasilinear evolution equations. Zbl 0637.47038Crandall, Michael G.; Souganidis, Panagiotis E. 11 1986 Dissipative and entropy solutions to non-isotropic degenerate parabolic balance laws. Zbl 1059.35044Perthame, Benoît; Souganidis, P. E. 11 2003 Large-time behavior for viscous and nonviscous Hamilton–Jacobi equations forced by additive noise. Zbl 1099.35185Dirr, Nicolas; Souganidis, Panagiotis E. 11 2005 Homogenization and non-homogenization of certain non-convex Hamilton-Jacobi equations. Zbl 1380.35014Feldman, William M.; Souganidis, Panagiotis E. 11 2017 Well-posedness for multi-dimensional junction problems with Kirchoff-type conditions. Zbl 1380.35055Lions, Pierre-Louis; Souganidis, Panagiotis E. 11 2017 Asymmetric potentials and motor effect: a homogenization approach. Zbl 1180.35081Perthame, Benoît; Souganidis, Panagiotis E. 10 2009 Phase-field theory for Fitzhugh-Nagumo-type systems. Zbl 0863.35047Soravia, Pierpaolo; Souganidis, Panagiotis E. 10 1996 Uniqueness of motion by mean curvature perturbed by stochastic noise. Zbl 1057.35106Souganidis, P. E.; Yip, N. K. 10 2004 Eikonal equations and pathwise solutions to fully non-linear SPDEs. Zbl 1377.35293Friz, Peter K.; Gassiat, Paul; Lions, Pierre-Louis; Souganidis, Panagiotis E. 10 2017 A regularity result for viscosity solutions of Hamilton-Jacobi equations in one space dimension. Zbl 0657.35083Jensen, R.; Souganidis, P. E. 9 1987 Viscosity solutions of second-order equations, stochastic control and stochastic differential games. Zbl 0825.49042Lions, P.-L.; Souganidis, P. E. 8 1988 Front propagation for reaction-diffusion equations of bistable type. Zbl 0794.35076Barles, G.; Bronsard, L.; Souganidis, P. E. 8 1992 Anisotropic motion of an interface relaxed by the formation of infinitesimal wrinkles. Zbl 0828.35054Gurtin, M. E.; Soner, H. M.; Souganidis, P. E. 8 1995 Time fluctuations in a population model of adaptive dynamics. Zbl 1312.35011Mirrahimi, Sepideh; Perthame, Benoît; Souganidis, Panagiotis E. 8 2015 Convergence of MUSCL type methods for scalar conservation laws. Zbl 0712.65082Lions, Pierre-Louis; Souganidis, Panagiotis 8 1990 A PDE approach to small stochastic perturbations of Hamiltonian flows. Zbl 1287.37036Ishii, Hitoshi; Souganidis, Panagiotis E. 7 2012 Existence and uniqueness of weak solutions for precipitation fronts: a novel hyperbolic free boundary problem in several space variables. Zbl 1204.35068Majda, Andrew J.; Souganidis, Panagiotis E. 7 2010 Semi-discretization for stochastic scalar conservation laws with multiple rough fluxes. Zbl 1345.60069Gess, Benjamin; Perthame, Benoît; Souganidis, Panagiotis E. 7 2016 A remark about viscosity solutions of Hamilton-Jacobi equations at the boundary. Zbl 0598.35066Souganidis, P. E. 7 1986 A remark on the asymptotic behavior of the solution of the KPP equation. Zbl 0807.60076Barles, Guy; Souganidis, Panagiotis E. 6 1994 Stochastic homogenization of interfaces moving with changing sign velocity. Zbl 1308.35024Ciomaga, Adina; Souganidis, Panagiotis E.; Tran, Hung V. 6 2015 Free boundary problems for tumor growth: a viscosity solutions approach. Zbl 1334.35360Kim, Inwon C.; Perthame, Benoît; Souganidis, Panagiotis E. 6 2016 Remarks on the Dirichlet problem for quasilinear elliptic and parabolic equations. Zbl 0928.35049Barles, Guy; Rouy, Elisabeth; Souganidis, Panagiotis E. 6 1999 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 1368.35025Cardaliaguet, Pierre; Souganidis, Panagiotis E. 6 2017 Asymmetric potentials and motor effect: a large deviation approach. Zbl 1171.82012Perthame, Benoît; Souganidis, Panagiotis E. 5 2009 On nonlinear equations of evolution. Zbl 0686.47048Crandall, Michael G.; Souganidis, Panagiotis E. 5 1989 Two-player, zero-sum differential games and viscosity solutions. Zbl 0947.91014Souganidis, Panagiotis E. 5 1999 Large time average of reachable sets and applications to homogenization of interfaces moving with oscillatory spatio-temporal velocity. Zbl 1409.35025Jing, Wenjia; Souganidis, Panagiotis E.; Tran, Hung V. 5 2018 A homogenization approach to flashing ratchets. Zbl 1209.35013Perthame, Benoît; Souganidis, Panagiotis E. 4 2011 Interface dynamics in phase transitions. Zbl 0845.35045Souganidis, Panagiotis E. 4 1995 Nonlinear stochastic partial differential equations and viscosity solutions. (Équations aux dérivées partielles stochastiques nonlinéaires et solutions de viscosité.) Zbl 1061.35530Lions, P.-L.; Souganidis, P. E. 4 1999 Recent developments in the theory of nonlinear scalar first and second order partial differential equations. Zbl 0653.35008Souganidis, P. E. 4 1987 Speed of propagation for Hamilton-Jacobi equations with multiplicative rough time dependence and convex Hamiltonians. Zbl 1434.60155Gassiat, Paul; Gess, Benjamin; Lions, Pierre-Louis; Souganidis, Panagiotis E. 4 2020 A homogenization approach for the motion of motor proteins. Zbl 1262.35023Mirrahimi, S.; Souganidis, P. E. 3 2013 Speed of propagation for Hamilton-Jacobi equations with multiplicative rough time dependence and convex Hamiltonians. Zbl 1434.60155Gassiat, Paul; Gess, Benjamin; Lions, Pierre-Louis; Souganidis, Panagiotis E. 4 2020 Brownian fluctuations of flame fronts with small random advection. Zbl 1450.35307Henderson, Christopher; Souganidis, Panagiotis E. 1 2020 Front propagation for integro-differential KPP reaction-diffusion equations in periodic media. Zbl 1423.35212Souganidis, Panagiotis E.; Tarfulea, Andrei 3 2019 Large time average of reachable sets and applications to homogenization of interfaces moving with oscillatory spatio-temporal velocity. Zbl 1409.35025Jing, Wenjia; Souganidis, Panagiotis E.; Tran, Hung V. 5 2018 Super-linear propagation for a general, local cane toads model. Zbl 1407.35112Henderson, Christopher; Perthame, Benoît; Souganidis, Panagiotis E. 1 2018 Long-time behavior, invariant measures, and regularizing effects for stochastic scalar conservation laws. Zbl 1370.60105Gess, Benjamin; Souganidis, Panagiotis E. 24 2017 Stochastic non-isotropic degenerate parabolic-hyperbolic equations. Zbl 1372.60090Gess, Benjamin; Souganidis, Panagiotis E. 14 2017 Homogenization and non-homogenization of certain non-convex Hamilton-Jacobi equations. Zbl 1380.35014Feldman, William M.; Souganidis, Panagiotis E. 11 2017 Well-posedness for multi-dimensional junction problems with Kirchoff-type conditions. Zbl 1380.35055Lions, Pierre-Louis; Souganidis, Panagiotis E. 11 2017 Eikonal equations and pathwise solutions to fully non-linear SPDEs. Zbl 1377.35293Friz, Peter K.; Gassiat, Paul; Lions, Pierre-Louis; Souganidis, Panagiotis E. 10 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 1368.35025Cardaliaguet, Pierre; Souganidis, Panagiotis E. 6 2017 Stochastic homogenization of viscous superquadratic Hamilton-Jacobi equations in dynamic random environment. Zbl 1358.35012Jing, Wenjia; Souganidis, Panagiotis E.; Tran, Hung V. 2 2017 Metastability for parabolic equations with drift. II: The quasilinear case. Zbl 1387.35052Ishii, Hitoshi; Souganidis, Panagiotis E. 1 2017 Viscosity solutions for junctions: well posedness and stability. Zbl 1353.35111Lions, Pierre-Louis; Souganidis, Panagiotis 19 2016 Rare mutations limit of a steady state dispersal evolution model. Zbl 1387.35027Perthame, Benoit; Souganidis, P. E. 12 2016 Semi-discretization for stochastic scalar conservation laws with multiple rough fluxes. Zbl 1345.60069Gess, Benjamin; Perthame, Benoît; Souganidis, Panagiotis E. 7 2016 Free boundary problems for tumor growth: a viscosity solutions approach. Zbl 1334.35360Kim, Inwon C.; Perthame, Benoît; Souganidis, Panagiotis E. 6 2016 Scalar conservation laws with multiple rough fluxes. Zbl 1329.60210Gess, Benjamin; Souganidis, Panagiotis E. 21 2015 Time fluctuations in a population model of adaptive dynamics. Zbl 1312.35011Mirrahimi, Sepideh; Perthame, Benoît; Souganidis, Panagiotis E. 8 2015 Stochastic homogenization of interfaces moving with changing sign velocity. Zbl 1308.35024Ciomaga, Adina; Souganidis, Panagiotis E.; Tran, Hung V. 6 2015 Periodic approximations of the ergodic constants in the stochastic homogenization of nonlinear second-order (degenerate) equations. Zbl 1320.35040Cardaliaguet, Pierre; Souganidis, Panagiotis E. 2 2015 Metastability for parabolic equations with drift. I. Zbl 1327.35140Ishii, Hitoshi; Souganidis, Panagiotis E. 2 2015 Quantitative homogenization of elliptic partial differential equations with random oscillatory boundary data. Zbl 1418.35025Feldman, William M.; Kim, Inwon C.; Souganidis, Panagiotis E. 2 2015 Scalar conservation laws with rough (stochastic) fluxes: the spatially dependent case. Zbl 1323.35233Lions, Pierre-Louis; Perthame, Benoît; Souganidis, Panagiotis E. 25 2014 Error estimates and convergence rates for the stochastic homogenization of Hamilton-Jacobi equations. Zbl 1286.35023Armstrong, Scott N.; Cardaliaguet, Pierre; Souganidis, Panagiotis E. 24 2014 Scalar conservation laws with rough (stochastic) fluxes. Zbl 1333.60140Lions, Pierre-Louis; Perthame, Benoît; Souganidis, Panagiotis E. 30 2013 Stochastic homogenization of level-set convex Hamilton-Jacobi equations. Zbl 1319.35003Armstrong, Scott N.; Souganidis, Panagiotis E. 30 2013 Homogenization and enhancement of the \(G\)-equation in random environments. Zbl 1284.60126Cardaliaguet, Pierre; Souganidis, Panagiotis E. 16 2013 Stochastic averaging lemmas for kinetic equations. Zbl 1323.35234Lions, Pierre-Louis; Perthame, Benoît; Souganidis, Panagiotis E. 14 2013 A homogenization approach for the motion of motor proteins. Zbl 1262.35023Mirrahimi, S.; Souganidis, P. E. 3 2013 Concentration phenomena for neutronic multigroup diffusion in random environments. Zbl 1294.82044Armstrong, Scott N.; Souganidis, Panagiotis E. 2 2013 Stochastic homogenization of Hamilton-Jacobi and degenerate Bellman equations in unbounded environments. Zbl 1246.35029Armstrong, Scott N.; Souganidis, Panagiotis E. 42 2012 A PDE approach to small stochastic perturbations of Hamiltonian flows. Zbl 1287.37036Ishii, Hitoshi; Souganidis, Panagiotis E. 7 2012 A singular Hamilton-Jacobi equation modeling the tail problem. Zbl 1280.35007Mirrahimi, Sepideh; Barles, Guy; Perthame, Benoît; Souganidis, Panagiotis E. 3 2012 Homogenization and enhancement for the \(G\)-equation. Zbl 1294.35002Cardaliaguet, P.; Nolen, J.; Souganidis, P. E. 16 2011 A homogenization approach to flashing ratchets. Zbl 1209.35013Perthame, Benoît; Souganidis, Panagiotis E. 4 2011 Rates of convergence for the homogenization of fully nonlinear uniformly elliptic PDE in random media. Zbl 1192.35048Caffarelli, Luis A.; Souganidis, Panagiotis E. 40 2010 Stochastic homogenization of Hamilon-Jacobi and “viscous”-Hamilton-Jacobi equations with convex nonlinearities – revisited. Zbl 1197.35031Lions, Pierre-Louis; Souganidis, Panagiotis E. 30 2010 Convergence of nonlocal threshold dynamics approximations to front propagation. Zbl 1190.65132Caffarelli, Luis A.; Souganidis, Panagiotis E. 29 2010 Existence and uniqueness of weak solutions for precipitation fronts: a novel hyperbolic free boundary problem in several space variables. Zbl 1204.35068Majda, Andrew J.; Souganidis, Panagiotis E. 7 2010 A discussion about the homogenization of moving interfaces. Zbl 1180.35070Cardaliaguet, P.; Lions, P.-L.; Souganidis, P. E. 16 2009 Asymmetric potentials and motor effect: a homogenization approach. Zbl 1180.35081Perthame, Benoît; Souganidis, Panagiotis E. 10 2009 Asymmetric potentials and motor effect: a large deviation approach. Zbl 1171.82012Perthame, Benoît; Souganidis, Panagiotis E. 5 2009 A rate of convergence for monotone finite difference approximations to fully nonlinear, uniformly elliptic PDEs. Zbl 1140.65075Caffarelli, Luis A.; Souganidis, Panagiotis E. 31 2008 Asymptotic and numerical homogenization. Zbl 1179.65142Engquist, B.; Souganidis, P. E. 27 2008 Ergodic problems and periodic homogenization for fully nonlinear equations in half-space type domains with Neumann boundary conditions. Zbl 1173.35013Barles, G.; da Lio, F.; Lions, P.-L.; Souganidis, P. E. 14 2008 Homogenization of fully nonlinear, uniformly elliptic and parabolic partial differential equations in stationary ergodic media. Zbl 1063.35025Caffarelli, Luis A.; Souganidis, Panagiotis E.; Wang, L. 56 2005 Homogenization of “viscous” Hamilton–Jacobi equations in stationary ergodic media. Zbl 1065.35047Lions, Pierre-Louis; Souganidis, Panagiotis E. 55 2005 Homogenization of degenerate second-order PDE in periodic and almost periodic environments and applications. Zbl 1135.35092Lions, Pierre-Louis; Souganidis, Panagiotis E. 36 2005 Front propagation for a jump process model arising in spacial ecology. Zbl 1085.35017Perthame, Benoît; Souganidis, P. E. 13 2005 Large-time behavior for viscous and nonviscous Hamilton–Jacobi equations forced by additive noise. Zbl 1099.35185Dirr, Nicolas; Souganidis, Panagiotis E. 11 2005 Uniqueness of motion by mean curvature perturbed by stochastic noise. Zbl 1057.35106Souganidis, P. E.; Yip, N. K. 10 2004 Addendum to: “Dissipative and entropy solutions to non-isotropic degenerate parabolic balance laws”. Zbl 1060.35061Perthame, Benoît; Souganidis, Panagiotis E. 3 2004 Correctors for the homogenization of Hamilton-Jacobi equations in the stationary ergodic setting. Zbl 1050.35012Lions, Pierre-Louis; Souganidis, Panagiotis E. 58 2003 Dissipative and entropy solutions to non-isotropic degenerate parabolic balance laws. Zbl 1059.35044Perthame, Benoît; Souganidis, P. E. 11 2003 Recent developments in the theory of front propagation and its applications. Zbl 1052.35097Souganidis, Panagiotis E. 1 2002 Space-time periodic solutions and long-time behavior of solutions to quasi-linear parabolic equations. Zbl 0986.35047Barles, G.; Souganidis, P. E. 51 2001 On the large time behavior of solutions of Hamilton-Jacobi equations. Zbl 0960.70015Barles, G.; Souganidis, Panagiotis E. 52 2000 Fully nonlinear stochastic PDE with semilinear stochastic dependence. Zbl 0966.60058Lions, Pierre-Louis; Souganidis, Panagiotis E. 30 2000 Uniqueness of weak solutions of fully nonlinear stochastic partial differential equations. Zbl 0970.60072Lions, Pierre-Louis; Souganidis, Panagiotis E. 30 2000 Some counterexamples on the asymptotic behavior of the solutions of Hamilton-Jacobi equations. Zbl 0954.35046Barles, Guy; Souganidis, Panagiotis E. 12 2000 The effect of turbulence on mixing in prototype reaction-diffusion systems. Zbl 1027.35048Majda, Andrew; Souganidis, Panagiotis 1 2000 Stochastic homogenization of Hamilton-Jacobi equations and some applications. Zbl 0935.35008Souganidis, Panagiotis E. 53 1999 Threshold dynamics type approximation schemes for propagating fronts. Zbl 0935.53006Ishii, Hitoshi; Pires, Gabriel E.; Souganidis, Panagiotis E. 24 1999 Finite volume schemes for Hamilton-Jacobi equations. Zbl 0938.65089Kossioris, G.; Makridakis, Ch.; Souganidis, P. E. 14 1999 Remarks on the Dirichlet problem for quasilinear elliptic and parabolic equations. Zbl 0928.35049Barles, Guy; Rouy, Elisabeth; Souganidis, Panagiotis E. 6 1999 Two-player, zero-sum differential games and viscosity solutions. Zbl 0947.91014Souganidis, Panagiotis E. 5 1999 Nonlinear stochastic partial differential equations and viscosity solutions. (Équations aux dérivées partielles stochastiques nonlinéaires et solutions de viscosité.) Zbl 1061.35530Lions, P.-L.; Souganidis, P. E. 4 1999 Fully nonlinear stochastic partial differential equations. Zbl 1002.60552Lions, Pierre-Louis; Souganidis, Panagiotis E. 55 1998 A new approach to front propagation problems: theory and applications. Zbl 0904.35034Barles, Guy; Souganidis, Panagiotis E. 55 1998 Fully nonlinear stochastic partial differential equations: Non-smooth equations and applications. Zbl 0924.35203Lions, Pierre-Louis; Souganidis, Panagiotis E. 54 1998 A limiting case for velocity averaging. Zbl 0956.45010Perthame, B.; Souganidis, P. E. 38 1998 Flame fronts in a turbulent combustion model with fractal velocity fields. Zbl 0939.35097Majda, Andrew J.; Souganidis, Panagiotis 13 1998 Front propagation: Theory and applications. Zbl 0882.35016Souganidis, Panagiotis E. 18 1997 Stochastic Ising models and anisotropic front propagation. Zbl 0937.82034Katsoulakis, M. A.; Souganidis, P. E. 18 1997 Front propagation for reaction-diffusion equations arising in combustion theory. Zbl 0882.35062Barles, G.; Georgelin, C.; Souganidis, P. E. 3 1997 Existence and stability of entropy solutions for the hyperbolic systems of isentropic gas dynamics in Eulerian and Lagrangian coordinates. Zbl 0853.76077Lions, Pierre-Louis; Perthame, Benoît; Souganidis, Panagiotis E. 127 1996 Phase-field theory for Fitzhugh-Nagumo-type systems. Zbl 0863.35047Soravia, Pierpaolo; Souganidis, Panagiotis E. 10 1996 Bounds on enhanced turbulent flame speeds for combustion with fractal velocity fields. Zbl 1260.80008Majda, Andrew J.; Souganidis, Panagiotis E. 3 1996 Weak stability of isentropic gas dynamics for \(\gamma=5/3\). Zbl 0892.35099Lions, P.-L.; Perthame, B.; Souganidis, P. E. 1 1996 Generalized motion of noncompact hypersurfaces with velocity having arbitrary growth on the curvature tensor. Zbl 0837.35066Ishii, Hitoshi; Souganidis, Panagiotis 40 1995 Convergence of MUSCL and filtered schemes for scalar conservation laws and Hamilton-Jacobi equations. Zbl 0834.65087Lions, P.-L.; Souganidis, P. E. 28 1995 Generalized motion by mean curvature as a macroscopic limit of stochastic Ising models with long range interactions and Glauber dynamics. Zbl 0821.60095Katsoulakis, Markos A.; Souganidis, Panagiotis E. 19 1995 Comparison of turbulent flame speeds from complete averaging and the G-equation. Zbl 1039.80504Embid, Pedro F.; Majda, Andrew J.; Souganidis, Panagiotis E. 17 1995 Anisotropic motion of an interface relaxed by the formation of infinitesimal wrinkles. Zbl 0828.35054Gurtin, M. E.; Soner, H. M.; Souganidis, P. E. 8 1995 Interface dynamics in phase transitions. Zbl 0845.35045Souganidis, Panagiotis E. 4 1995 Large scale front dynamics for turbulent reaction-diffusion equations with separated velocity scales. Zbl 0839.76093Majda, Andrew J.; Souganidis, Panagiotis E. 59 1994 Interacting particle systems and generalized evolution of fronts. Zbl 0808.76002Katsoulakis, Markos A.; Souganidis, Panagiotis E. 13 1994 A remark on the asymptotic behavior of the solution of the KPP equation. Zbl 0807.60076Barles, Guy; Souganidis, Panagiotis E. 6 1994 Front propagation and phase field theory. Zbl 0785.35049Barles, G.; Soner, H. M.; Souganidis, P. E. 126 1993 Singularities and uniqueness of cylindrically symmetric surfaces moving by mean curvature. Zbl 0804.53006Soner, H. M.; Souganidis, P. E. 26 1993 Fully nonlinear second-order degenerate elliptic equations with large zeroth-order coefficients. Zbl 0791.35040Lions, P.-L.; Souganidis, P. E. 1 1993 Phase transitions and generalized motion by mean curvature. Zbl 0801.35045Evans, L. C.; Soner, H. M.; Souganidis, P. E. 203 1992 Front propagation for reaction-diffusion equations of bistable type. Zbl 0794.35076Barles, G.; Bronsard, L.; Souganidis, P. E. 8 1992 Convergence of approximation schemes for fully nonlinear second order equations. Zbl 0729.65077Barles, G.; Souganidis, P. E. 305 1991 Instability of a class of dispersive solitary waves. Zbl 0713.35108Souganidis, P. E.; Strauss, W. A. 48 1990 Convergence of MUSCL type methods for scalar conservation laws. Zbl 0712.65082Lions, Pierre-Louis; Souganidis, Panagiotis 8 1990 On the existence of value functions of two-player, zero-sum stochastic differential games. Zbl 0686.90049Fleming, W. H.; Souganidis, P. E. 125 1989 A PDE approach to geometric optics for certain semilinear parabolic equations. Zbl 0692.35014Evans, L. C.; Souganidis, P. E. 63 1989 Maximal solutions and universal bounds for some partial differential equations of evolution. Zbl 0706.35067Crandall, Michael G.; Lions, Pierre-Louis; Souganidis, Panagiotis E. 21 1989 ...and 24 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 2,236 Authors 58 Souganidis, Panagiotis E. 43 Barles, Guy 32 Perthame, Benoît 28 Lions, Pierre-Louis 23 Ishii, Hitoshi 23 Tran Vinh Hung 22 Cardaliaguet, Pierre 20 Mitake, Hiroyoshi 19 Gess, Benjamin 19 Giga, Yoshikazu 17 Novaga, Matteo 16 Camilli, Fabio 16 Karlsen, Kenneth Hvistendahl 16 Ley, Olivier 16 Lu, Yunguang 16 Soner, Halil Mete 15 Armstrong, Scott N. 14 Chen, Gui-Qiang G. 14 Kim, Inwon Christina 14 Oberman, Adam M. 13 Buckdahn, Rainer 13 Falcone, Maurizio 13 Feng, Xiaobing 13 Forsyth, Peter A. 13 Yu, Yifeng 12 Jakobsen, Espen Robstad 12 Roquejoffre, Jean-Michel 11 Bellettini, Giovanni 11 Krylov, Nicolaĭ Vladimirovich 11 Mirrahimi, Sepideh 11 Monneau, Régis 11 Quincampoix, Marc 11 Reisinger, Christoph 11 Valdinoci, Enrico 11 Xin, Jack X. 10 Barron, Emmanuel Nicholas 10 Caffarelli, Luis Ángel 10 Cesaroni, Annalisa 10 Chasseigne, Emmanuel 10 Crandall, Michael G. 10 Liu, Qing 10 Ryzhik, Lenya 10 Siconolfi, Antonio 10 Touzi, Nizar 10 Zhang, Jianfeng 9 Bardi, Martino 9 Bouchut, François 9 Chambolle, Antonin 9 Friz, Peter Karl 9 Guillen, Nestor 9 Huang, Feimin 9 Katsoulakis, Markos A. 9 Legoll, Frédéric 9 Wang, Dehua 8 Bayraktar, Erhan 8 Berestycki, Henri 8 Bona, Jerry Lloyd 8 Chen, Xinfu 8 Ferretti, Roberto Giorgio 8 Imbert, Cyril 8 Majda, Andrew J. 8 Martel, Yvan 8 Muñoz, Claudio 8 Nguyen, Vinh Duc 8 Osher, Stanley Joel 8 Picarelli, Athena 8 Qian, Jianliang 8 Schwab, Russell W. 7 Bokanowski, Olivier 7 Bouchard, Bruno 7 Bouin, Emeric 7 Davini, Andrea 7 Evans, Lawrence Craig 7 Finkelshteĭn, Dmitriĭ Leonidovich 7 Gassiat, Paul 7 Gomes, Diogo Luís Aguiar 7 Henderson, Christopher 7 Hofmanová, Martina 7 Le Bris, Claude 7 Lorenzi, Tommaso 7 Marchi, Claudio 7 Matoussi, Anis 7 Natali, Fábio M. Amorin 7 Neilan, Michael 7 Nochetto, Ricardo Horacio 7 Oberhauser, Harald 7 Pastor, Ademir 7 Risebro, Nils Henrik 7 Soravia, Pierpaolo 7 Taras’ev, Aleksandr Mikhaĭlovich 7 Yip, Nung Kwan 7 Zidani, Hasnaa 6 Berthelin, Florent 6 Da Lio, Francesca 6 Dirr, Nicolas Peter 6 El Hajj, Ahmad 6 Fischer, Julian 6 Fleming, Wendell Helms 6 Frid, Hermano 6 Laurençot, Philippe ...and 2,136 more Authors all top 5 Cited in 315 Serials 111 Journal of Differential Equations 84 Archive for Rational Mechanics and Analysis 80 Communications in Partial Differential Equations 58 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 53 Journal of Mathematical Analysis and Applications 49 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 45 Journal de Mathématiques Pures et Appliquées. 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