×

zbMATH — the first resource for mathematics

Souganidis, Panagiotis E.

Compute Distance To:
Author ID: souganidis.panagiotis-e Recent zbMATH articles by "Souganidis, Panagiotis E."
Published as: Souganidis, P. E.; Souganidis, Panagiotis; Souganidis, Panagiotis E.
Documents Indexed: 139 Publications since 1984
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 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 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni
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

Publications by Year

Citations contained in zbMATH Open

123 Publications have been cited 3,323 times in 2,106 Documents Cited by Year
Convergence of approximation schemes for fully nonlinear second order equations. Zbl 0729.65077
Barles, G.; Souganidis, P. E.
296
1991
Phase transitions and generalized motion by mean curvature. Zbl 0801.35045
Evans, L. C.; Soner, H. M.; Souganidis, P. E.
201
1992
Differential games and representation formulas for solutions of Hamilton-Jacobi-Isaacs equations. Zbl 1169.91317
Evans, L. C.; Souganidis, P. E.
159
1984
Stability and instability of solitary waves of Korteweg-de Vries type. Zbl 0648.76005
Bona, J. L.; Souganidis, P. E.; Strauss, W. A.
156
1987
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.
125
1996
On the existence of value functions of two-player, zero-sum stochastic differential games. Zbl 0686.90049
Fleming, W. H.; Souganidis, P. E.
125
1989
Front propagation and phase field theory. Zbl 0785.35049
Barles, G.; Soner, H. M.; Souganidis, P. E.
124
1993
Approximation schemes for viscosity solutions of Hamilton-Jacobi equations. Zbl 0536.70020
Souganidis, Panagiotis E.
75
1985
A PDE approach to geometric optics for certain semilinear parabolic equations. Zbl 0692.35014
Evans, L. C.; Souganidis, P. E.
63
1989
Large scale front dynamics for turbulent reaction-diffusion equations with separated velocity scales. Zbl 0839.76093
Majda, Andrew J.; Souganidis, Panagiotis E.
58
1994
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.
57
2005
Correctors for the homogenization of Hamilton-Jacobi equations in the stationary ergodic setting. Zbl 1050.35012
Lions, Pierre-Louis; Souganidis, Panagiotis E.
57
2003
Fully nonlinear stochastic partial differential equations. Zbl 1002.60552
Lions, Pierre-Louis; Souganidis, Panagiotis E.
56
1998
A new approach to front propagation problems: theory and applications. Zbl 0904.35034
Barles, Guy; Souganidis, Panagiotis E.
55
1998
Homogenization of “viscous” Hamilton–Jacobi equations in stationary ergodic media. Zbl 1065.35047
Lions, Pierre-Louis; Souganidis, Panagiotis E.
54
2005
Fully nonlinear stochastic partial differential equations: Non-smooth equations and applications. Zbl 0924.35203
Lions, Pierre-Louis; Souganidis, Panagiotis E.
54
1998
Stochastic homogenization of Hamilton-Jacobi equations and some applications. Zbl 0935.35008
Souganidis, Panagiotis E.
53
1999
On the large time behavior of solutions of Hamilton-Jacobi equations. Zbl 0960.70015
Barles, G.; Souganidis, Panagiotis E.
52
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.
52
1985
Space-time periodic solutions and long-time behavior of solutions to quasi-linear parabolic equations. Zbl 0986.35047
Barles, G.; Souganidis, P. E.
50
2001
Instability of a class of dispersive solitary waves. Zbl 0713.35108
Souganidis, P. E.; Strauss, W. A.
49
1990
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.
48
1988
Stochastic homogenization of Hamilton-Jacobi and degenerate Bellman equations in unbounded environments. Zbl 1246.35029
Armstrong, Scott N.; Souganidis, Panagiotis E.
42
2012
Existence of viscosity solutions of Hamilton-Jacobi equations. Zbl 0506.35020
Souganidis, Panagiotis E.
40
1985
Generalized motion of noncompact hypersurfaces with velocity having arbitrary growth on the curvature tensor. Zbl 0837.35066
Ishii, Hitoshi; Souganidis, Panagiotis
39
1995
Rates of convergence for the homogenization of fully nonlinear uniformly elliptic PDE in random media. Zbl 1192.35048
Caffarelli, Luis A.; Souganidis, Panagiotis E.
38
2010
A limiting case for velocity averaging. Zbl 0956.45010
Perthame, B.; Souganidis, P. E.
38
1998
Homogenization of degenerate second-order PDE in periodic and almost periodic environments and applications. Zbl 1135.35092
Lions, Pierre-Louis; Souganidis, Panagiotis E.
35
2005
A rate of convergence for monotone finite difference approximations to fully nonlinear, uniformly elliptic PDEs. Zbl 1140.65075
Caffarelli, Luis A.; Souganidis, Panagiotis E.
31
2008
Uniqueness of weak solutions of fully nonlinear stochastic partial differential equations. Zbl 0970.60072
Lions, Pierre-Louis; Souganidis, Panagiotis E.
31
2000
Stochastic homogenization of level-set convex Hamilton-Jacobi equations. Zbl 1319.35003
Armstrong, Scott N.; Souganidis, Panagiotis E.
30
2013
Scalar conservation laws with rough (stochastic) fluxes. Zbl 1333.60140
Lions, Pierre-Louis; Perthame, Benoît; Souganidis, Panagiotis E.
30
2013
Stochastic homogenization of Hamilon-Jacobi and “viscous”-Hamilton-Jacobi equations with convex nonlinearities – revisited. Zbl 1197.35031
Lions, Pierre-Louis; Souganidis, Panagiotis E.
30
2010
Fully nonlinear stochastic PDE with semilinear stochastic dependence. Zbl 0966.60058
Lions, Pierre-Louis; Souganidis, Panagiotis E.
30
2000
Convergence of nonlocal threshold dynamics approximations to front propagation. Zbl 1190.65132
Caffarelli, Luis A.; Souganidis, Panagiotis E.
28
2010
Convergence of MUSCL and filtered schemes for scalar conservation laws and Hamilton-Jacobi equations. Zbl 0834.65087
Lions, P.-L.; Souganidis, P. E.
28
1995
Asymptotic and numerical homogenization. Zbl 1179.65142
Engquist, B.; Souganidis, P. E.
26
2008
Threshold dynamics type approximation schemes for propagating fronts. Zbl 0935.53006
Ishii, Hitoshi; Pires, Gabriel E.; Souganidis, Panagiotis E.
26
1999
Singularities and uniqueness of cylindrically symmetric surfaces moving by mean curvature. Zbl 0804.53006
Soner, H. M.; Souganidis, P. E.
26
1993
Long-time behavior, invariant measures, and regularizing effects for stochastic scalar conservation laws. Zbl 1370.60105
Gess, Benjamin; Souganidis, Panagiotis E.
25
2017
Scalar conservation laws with rough (stochastic) fluxes: the spatially dependent case. Zbl 1323.35233
Lions, Pierre-Louis; Perthame, Benoît; Souganidis, Panagiotis E.
25
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.
22
2014
Front propagation: Theory and applications. Zbl 0882.35016
Souganidis, Panagiotis E.
22
1997
PDE-viscosity solution approach to some problems of large deviations. Zbl 0622.60032
Fleming, Wendell H.; Souganidis, Panagiotis E.
22
1986
Scalar conservation laws with multiple rough fluxes. Zbl 1329.60210
Gess, Benjamin; Souganidis, Panagiotis E.
21
2015
Maximal solutions and universal bounds for some partial differential equations of evolution. Zbl 0706.35067
Crandall, Michael G.; Lions, Pierre-Louis; Souganidis, Panagiotis E.
21
1989
Asymptotic series and the method of vanishing viscosity. Zbl 0573.35034
Fleming, W. H.; Souganidis, P. E.
21
1986
Viscosity solutions for junctions: well posedness and stability. Zbl 1353.35111
Lions, Pierre-Louis; Souganidis, Panagiotis
19
2016
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.
19
1995
Stochastic Ising models and anisotropic front propagation. Zbl 0937.82034
Katsoulakis, M. A.; Souganidis, P. E.
18
1997
Comparison of turbulent flame speeds from complete averaging and the G-equation. Zbl 1039.80504
Embid, Pedro F.; Majda, Andrew J.; Souganidis, Panagiotis E.
17
1995
Homogenization and enhancement of the \(G\)-equation in random environments. Zbl 1284.60126
Cardaliaguet, Pierre; Souganidis, Panagiotis E.
16
2013
Homogenization and enhancement for the \(G\)-equation. Zbl 1294.35002
Cardaliaguet, P.; Nolen, J.; Souganidis, P. E.
16
2011
A discussion about the homogenization of moving interfaces. Zbl 1180.35070
Cardaliaguet, P.; Lions, P.-L.; Souganidis, P. E.
16
2009
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.
16
1985
Stochastic non-isotropic degenerate parabolic-hyperbolic equations. Zbl 1372.60090
Gess, Benjamin; Souganidis, Panagiotis E.
14
2017
Stochastic averaging lemmas for kinetic equations. Zbl 1323.35234
Lions, 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 1173.35013
Barles, G.; da Lio, F.; Lions, P.-L.; Souganidis, P. E.
14
2008
Finite volume schemes for Hamilton-Jacobi equations. Zbl 0938.65089
Kossioris, G.; Makridakis, Ch.; Souganidis, P. E.
14
1999
A PDE approach to certain large deviation problems for systems of parabolic equations. Zbl 0679.60040
Evans, L. C.; Souganidis, P. E.
14
1989
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.
14
1987
Rare mutations limit of a steady state dispersal evolution model. Zbl 1387.35027
Perthame, Benoit; Souganidis, P. E.
13
2016
Front propagation for a jump process model arising in spacial ecology. Zbl 1085.35017
Perthame, Benoît; Souganidis, P. E.
13
2005
Interacting particle systems and generalized evolution of fronts. Zbl 0808.76002
Katsoulakis, Markos A.; Souganidis, Panagiotis E.
13
1994
Some counterexamples on the asymptotic behavior of the solutions of Hamilton-Jacobi equations. Zbl 0954.35046
Barles, Guy; Souganidis, Panagiotis E.
12
2000
Flame fronts in a turbulent combustion model with fractal velocity fields. Zbl 0939.35097
Majda, Andrew J.; Souganidis, Panagiotis
12
1998
Well-posedness for multi-dimensional junction problems with Kirchoff-type conditions. Zbl 1380.35055
Lions, Pierre-Louis; Souganidis, Panagiotis E.
11
2017
Homogenization and non-homogenization of certain non-convex Hamilton-Jacobi equations. Zbl 1380.35014
Feldman, William M.; Souganidis, Panagiotis E.
11
2017
Large-time behavior for viscous and nonviscous Hamilton–Jacobi equations forced by additive noise. Zbl 1099.35185
Dirr, Nicolas; Souganidis, Panagiotis E.
11
2005
Dissipative and entropy solutions to non-isotropic degenerate parabolic balance laws. Zbl 1059.35044
Perthame, Benoît; Souganidis, P. E.
11
2003
Eikonal equations and pathwise solutions to fully non-linear SPDEs. Zbl 1377.35293
Friz, Peter K.; Gassiat, Paul; Lions, Pierre-Louis; Souganidis, Panagiotis E.
10
2017
Asymmetric potentials and motor effect: a homogenization approach. Zbl 1180.35081
Perthame, Benoît; Souganidis, Panagiotis E.
10
2009
Uniqueness of motion by mean curvature perturbed by stochastic noise. Zbl 1057.35106
Souganidis, P. E.; Yip, N. K.
10
2004
Phase-field theory for Fitzhugh-Nagumo-type systems. Zbl 0863.35047
Soravia, Pierpaolo; Souganidis, Panagiotis E.
10
1996
Convergence of difference approximations of quasilinear evolution equations. Zbl 0637.47038
Crandall, Michael G.; Souganidis, Panagiotis E.
10
1986
Viscosity solutions of second-order equations, stochastic control and stochastic differential games. Zbl 0825.49042
Lions, P.-L.; Souganidis, P. E.
9
1988
A regularity result for viscosity solutions of Hamilton-Jacobi equations in one space dimension. Zbl 0657.35083
Jensen, R.; Souganidis, P. E.
9
1987
Time fluctuations in a population model of adaptive dynamics. Zbl 1312.35011
Mirrahimi, Sepideh; Perthame, Benoît; Souganidis, Panagiotis E.
8
2015
Anisotropic motion of an interface relaxed by the formation of infinitesimal wrinkles. Zbl 0828.35054
Gurtin, M. E.; Soner, H. M.; Souganidis, P. E.
8
1995
Front propagation for reaction-diffusion equations of bistable type. Zbl 0794.35076
Barles, G.; Bronsard, L.; Souganidis, P. E.
8
1992
Convergence of MUSCL type methods for scalar conservation laws. Zbl 0712.65082
Lions, Pierre-Louis; Souganidis, Panagiotis
8
1990
Semi-discretization for stochastic scalar conservation laws with multiple rough fluxes. Zbl 1345.60069
Gess, Benjamin; Perthame, Benoît; Souganidis, Panagiotis E.
7
2016
A PDE approach to small stochastic perturbations of Hamiltonian flows. Zbl 1287.37036
Ishii, 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 1204.35068
Majda, Andrew J.; Souganidis, Panagiotis E.
7
2010
Remarks on the Dirichlet problem for quasilinear elliptic and parabolic equations. Zbl 0928.35049
Barles, Guy; Rouy, Elisabeth; Souganidis, Panagiotis E.
7
1999
A remark about viscosity solutions of Hamilton-Jacobi equations at the boundary. Zbl 0598.35066
Souganidis, P. E.
7
1986
On the existence of correctors for the stochastic homogenization of viscous Hamilton-Jacobi equations. Zbl 1368.35025
Cardaliaguet, Pierre; Souganidis, Panagiotis E.
6
2017
Free boundary problems for tumor growth: a viscosity solutions approach. Zbl 1334.35360
Kim, Inwon C.; Perthame, Benoît; Souganidis, Panagiotis E.
6
2016
Stochastic homogenization of interfaces moving with changing sign velocity. Zbl 1308.35024
Ciomaga, Adina; Souganidis, Panagiotis E.; Tran, Hung V.
6
2015
A remark on the asymptotic behavior of the solution of the KPP equation. Zbl 0807.60076
Barles, Guy; Souganidis, Panagiotis E.
6
1994
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.
5
2018
Asymmetric potentials and motor effect: a large deviation approach. Zbl 1171.82012
Perthame, Benoît; Souganidis, Panagiotis E.
5
2009
Two-player, zero-sum differential games and viscosity solutions. Zbl 0947.91014
Souganidis, Panagiotis E.
5
1999
On nonlinear equations of evolution. Zbl 0686.47048
Crandall, Michael G.; Souganidis, Panagiotis E.
5
1989
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.
4
2020
A homogenization approach to flashing ratchets. Zbl 1209.35013
Perthame, Benoît; Souganidis, Panagiotis E.
4
2011
Nonlinear stochastic partial differential equations and viscosity solutions. Zbl 1061.35530
Lions, P.-L.; Souganidis, P. E.
4
1999
Interface dynamics in phase transitions. Zbl 0845.35045
Souganidis, Panagiotis E.
4
1995
Recent developments in the theory of nonlinear scalar first and second order partial differential equations. Zbl 0653.35008
Souganidis, P. E.
4
1987
Front propagation for integro-differential KPP reaction-diffusion equations in periodic media. Zbl 1423.35212
Souganidis, Panagiotis E.; Tarfulea, Andrei
3
2019
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.
4
2020
Front propagation for integro-differential KPP reaction-diffusion equations in periodic media. Zbl 1423.35212
Souganidis, 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 1409.35025
Jing, Wenjia; Souganidis, Panagiotis E.; Tran, Hung V.
5
2018
Super-linear propagation for a general, local cane toads model. Zbl 1407.35112
Henderson, Christopher; Perthame, Benoît; Souganidis, Panagiotis E.
1
2018
Long-time behavior, invariant measures, and regularizing effects for stochastic scalar conservation laws. Zbl 1370.60105
Gess, Benjamin; Souganidis, Panagiotis E.
25
2017
Stochastic non-isotropic degenerate parabolic-hyperbolic equations. Zbl 1372.60090
Gess, Benjamin; Souganidis, Panagiotis E.
14
2017
Well-posedness for multi-dimensional junction problems with Kirchoff-type conditions. Zbl 1380.35055
Lions, Pierre-Louis; Souganidis, Panagiotis E.
11
2017
Homogenization and non-homogenization of certain non-convex Hamilton-Jacobi equations. Zbl 1380.35014
Feldman, William M.; Souganidis, Panagiotis E.
11
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.
10
2017
On the existence of correctors for the stochastic homogenization of viscous Hamilton-Jacobi equations. Zbl 1368.35025
Cardaliaguet, Pierre; Souganidis, Panagiotis E.
6
2017
Metastability for parabolic equations with drift. II: The quasilinear case. Zbl 1387.35052
Ishii, Hitoshi; Souganidis, Panagiotis E.
1
2017
Stochastic homogenization of viscous superquadratic Hamilton-Jacobi equations in dynamic random environment. Zbl 1358.35012
Jing, Wenjia; Souganidis, Panagiotis E.; Tran, Hung V.
1
2017
Viscosity solutions for junctions: well posedness and stability. Zbl 1353.35111
Lions, Pierre-Louis; Souganidis, Panagiotis
19
2016
Rare mutations limit of a steady state dispersal evolution model. Zbl 1387.35027
Perthame, Benoit; Souganidis, P. E.
13
2016
Semi-discretization for stochastic scalar conservation laws with multiple rough fluxes. Zbl 1345.60069
Gess, Benjamin; Perthame, Benoît; Souganidis, Panagiotis E.
7
2016
Free boundary problems for tumor growth: a viscosity solutions approach. Zbl 1334.35360
Kim, Inwon C.; Perthame, Benoît; Souganidis, Panagiotis E.
6
2016
Scalar conservation laws with multiple rough fluxes. Zbl 1329.60210
Gess, Benjamin; Souganidis, Panagiotis E.
21
2015
Time fluctuations in a population model of adaptive dynamics. Zbl 1312.35011
Mirrahimi, Sepideh; Perthame, Benoît; Souganidis, Panagiotis E.
8
2015
Stochastic homogenization of interfaces moving with changing sign velocity. Zbl 1308.35024
Ciomaga, Adina; Souganidis, Panagiotis E.; Tran, Hung V.
6
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.
2
2015
Metastability for parabolic equations with drift. I. Zbl 1327.35140
Ishii, Hitoshi; Souganidis, Panagiotis E.
2
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.
25
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.
22
2014
Stochastic homogenization of level-set convex Hamilton-Jacobi equations. Zbl 1319.35003
Armstrong, Scott N.; Souganidis, Panagiotis E.
30
2013
Scalar conservation laws with rough (stochastic) fluxes. Zbl 1333.60140
Lions, Pierre-Louis; Perthame, Benoît; Souganidis, Panagiotis E.
30
2013
Homogenization and enhancement of the \(G\)-equation in random environments. Zbl 1284.60126
Cardaliaguet, Pierre; Souganidis, Panagiotis E.
16
2013
Stochastic averaging lemmas for kinetic equations. Zbl 1323.35234
Lions, Pierre-Louis; Perthame, Benoît; Souganidis, Panagiotis E.
14
2013
A homogenization approach for the motion of motor proteins. Zbl 1262.35023
Mirrahimi, S.; Souganidis, P. E.
3
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.
42
2012
A PDE approach to small stochastic perturbations of Hamiltonian flows. Zbl 1287.37036
Ishii, Hitoshi; Souganidis, Panagiotis E.
7
2012
A singular Hamilton-Jacobi equation modeling the tail problem. Zbl 1280.35007
Mirrahimi, Sepideh; Barles, Guy; Perthame, Benoît; Souganidis, Panagiotis E.
3
2012
Homogenization and enhancement for the \(G\)-equation. Zbl 1294.35002
Cardaliaguet, P.; Nolen, J.; Souganidis, P. E.
16
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.
38
2010
Stochastic homogenization of Hamilon-Jacobi and “viscous”-Hamilton-Jacobi equations with convex nonlinearities – revisited. Zbl 1197.35031
Lions, Pierre-Louis; Souganidis, Panagiotis E.
30
2010
Convergence of nonlocal threshold dynamics approximations to front propagation. Zbl 1190.65132
Caffarelli, Luis A.; Souganidis, Panagiotis E.
28
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.
7
2010
A discussion about the homogenization of moving interfaces. Zbl 1180.35070
Cardaliaguet, P.; Lions, P.-L.; Souganidis, P. E.
16
2009
Asymmetric potentials and motor effect: a homogenization approach. Zbl 1180.35081
Perthame, Benoît; Souganidis, Panagiotis E.
10
2009
Asymmetric potentials and motor effect: a large deviation approach. Zbl 1171.82012
Perthame, Benoît; Souganidis, Panagiotis E.
5
2009
A rate of convergence for monotone finite difference approximations to fully nonlinear, uniformly elliptic PDEs. Zbl 1140.65075
Caffarelli, Luis A.; Souganidis, Panagiotis E.
31
2008
Asymptotic and numerical homogenization. Zbl 1179.65142
Engquist, B.; Souganidis, P. E.
26
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.
14
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.
57
2005
Homogenization of “viscous” Hamilton–Jacobi equations in stationary ergodic media. Zbl 1065.35047
Lions, Pierre-Louis; Souganidis, Panagiotis E.
54
2005
Homogenization of degenerate second-order PDE in periodic and almost periodic environments and applications. Zbl 1135.35092
Lions, Pierre-Louis; Souganidis, Panagiotis E.
35
2005
Front propagation for a jump process model arising in spacial ecology. Zbl 1085.35017
Perthame, Benoît; Souganidis, P. E.
13
2005
Large-time behavior for viscous and nonviscous Hamilton–Jacobi equations forced by additive noise. Zbl 1099.35185
Dirr, Nicolas; Souganidis, Panagiotis E.
11
2005
Uniqueness of motion by mean curvature perturbed by stochastic noise. Zbl 1057.35106
Souganidis, P. E.; Yip, N. K.
10
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.
57
2003
Dissipative and entropy solutions to non-isotropic degenerate parabolic balance laws. Zbl 1059.35044
Perthame, Benoît; Souganidis, P. E.
11
2003
Recent developments in the theory of front propagation and its applications. Zbl 1052.35097
Souganidis, Panagiotis E.
2
2002
Space-time periodic solutions and long-time behavior of solutions to quasi-linear parabolic equations. Zbl 0986.35047
Barles, G.; Souganidis, P. E.
50
2001
On the large time behavior of solutions of Hamilton-Jacobi equations. Zbl 0960.70015
Barles, G.; Souganidis, Panagiotis E.
52
2000
Uniqueness of weak solutions of fully nonlinear stochastic partial differential equations. Zbl 0970.60072
Lions, Pierre-Louis; Souganidis, Panagiotis E.
31
2000
Fully nonlinear stochastic PDE with semilinear stochastic dependence. Zbl 0966.60058
Lions, Pierre-Louis; Souganidis, Panagiotis E.
30
2000
Some counterexamples on the asymptotic behavior of the solutions of Hamilton-Jacobi equations. Zbl 0954.35046
Barles, Guy; Souganidis, Panagiotis E.
12
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.
53
1999
Threshold dynamics type approximation schemes for propagating fronts. Zbl 0935.53006
Ishii, Hitoshi; Pires, Gabriel E.; Souganidis, Panagiotis E.
26
1999
Finite volume schemes for Hamilton-Jacobi equations. Zbl 0938.65089
Kossioris, G.; Makridakis, Ch.; Souganidis, P. E.
14
1999
Remarks on the Dirichlet problem for quasilinear elliptic and parabolic equations. Zbl 0928.35049
Barles, Guy; Rouy, Elisabeth; Souganidis, Panagiotis E.
7
1999
Two-player, zero-sum differential games and viscosity solutions. Zbl 0947.91014
Souganidis, Panagiotis E.
5
1999
Nonlinear stochastic partial differential equations and viscosity solutions. Zbl 1061.35530
Lions, P.-L.; Souganidis, P. E.
4
1999
Fully nonlinear stochastic partial differential equations. Zbl 1002.60552
Lions, Pierre-Louis; Souganidis, Panagiotis E.
56
1998
A new approach to front propagation problems: theory and applications. Zbl 0904.35034
Barles, Guy; Souganidis, Panagiotis E.
55
1998
Fully nonlinear stochastic partial differential equations: Non-smooth equations and applications. Zbl 0924.35203
Lions, Pierre-Louis; Souganidis, Panagiotis E.
54
1998
A limiting case for velocity averaging. Zbl 0956.45010
Perthame, B.; Souganidis, P. E.
38
1998
Flame fronts in a turbulent combustion model with fractal velocity fields. Zbl 0939.35097
Majda, Andrew J.; Souganidis, Panagiotis
12
1998
Front propagation: Theory and applications. Zbl 0882.35016
Souganidis, Panagiotis E.
22
1997
Stochastic Ising models and anisotropic front propagation. Zbl 0937.82034
Katsoulakis, M. A.; Souganidis, P. E.
18
1997
Front propagation for reaction-diffusion equations arising in combustion theory. Zbl 0882.35062
Barles, 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 0853.76077
Lions, Pierre-Louis; Perthame, Benoît; Souganidis, Panagiotis E.
125
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.
3
1996
Weak stability of isentropic gas dynamics for \(\gamma=5/3\). Zbl 0892.35099
Lions, P.-L.; Perthame, B.; Souganidis, P. E.
1
1996
Generalized motion of noncompact hypersurfaces with velocity having arbitrary growth on the curvature tensor. Zbl 0837.35066
Ishii, Hitoshi; Souganidis, Panagiotis
39
1995
Convergence of MUSCL and filtered schemes for scalar conservation laws and Hamilton-Jacobi equations. Zbl 0834.65087
Lions, 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 0821.60095
Katsoulakis, Markos A.; Souganidis, Panagiotis E.
19
1995
Comparison of turbulent flame speeds from complete averaging and the G-equation. Zbl 1039.80504
Embid, Pedro F.; Majda, Andrew J.; Souganidis, Panagiotis E.
17
1995
Anisotropic motion of an interface relaxed by the formation of infinitesimal wrinkles. Zbl 0828.35054
Gurtin, M. E.; Soner, H. M.; Souganidis, P. E.
8
1995
Interface dynamics in phase transitions. Zbl 0845.35045
Souganidis, Panagiotis E.
4
1995
Large scale front dynamics for turbulent reaction-diffusion equations with separated velocity scales. Zbl 0839.76093
Majda, Andrew J.; Souganidis, Panagiotis E.
58
1994
Interacting particle systems and generalized evolution of fronts. Zbl 0808.76002
Katsoulakis, Markos A.; Souganidis, Panagiotis E.
13
1994
A remark on the asymptotic behavior of the solution of the KPP equation. Zbl 0807.60076
Barles, Guy; Souganidis, Panagiotis E.
6
1994
Front propagation and phase field theory. Zbl 0785.35049
Barles, G.; Soner, H. M.; Souganidis, P. E.
124
1993
Singularities and uniqueness of cylindrically symmetric surfaces moving by mean curvature. Zbl 0804.53006
Soner, H. M.; Souganidis, P. E.
26
1993
Fully nonlinear second-order degenerate elliptic equations with large zeroth-order coefficients. Zbl 0791.35040
Lions, P.-L.; Souganidis, P. E.
1
1993
Phase transitions and generalized motion by mean curvature. Zbl 0801.35045
Evans, L. C.; Soner, H. M.; Souganidis, P. E.
201
1992
Front propagation for reaction-diffusion equations of bistable type. Zbl 0794.35076
Barles, G.; Bronsard, L.; Souganidis, P. E.
8
1992
Convergence of approximation schemes for fully nonlinear second order equations. Zbl 0729.65077
Barles, G.; Souganidis, P. E.
296
1991
Instability of a class of dispersive solitary waves. Zbl 0713.35108
Souganidis, P. E.; Strauss, W. A.
49
1990
Convergence of MUSCL type methods for scalar conservation laws. Zbl 0712.65082
Lions, Pierre-Louis; Souganidis, Panagiotis
8
1990
On the existence of value functions of two-player, zero-sum stochastic differential games. Zbl 0686.90049
Fleming, W. H.; Souganidis, P. E.
125
1989
A PDE approach to geometric optics for certain semilinear parabolic equations. Zbl 0692.35014
Evans, L. C.; Souganidis, P. E.
63
1989
Maximal solutions and universal bounds for some partial differential equations of evolution. Zbl 0706.35067
Crandall, Michael G.; Lions, Pierre-Louis; Souganidis, Panagiotis E.
21
1989
A PDE approach to certain large deviation problems for systems of parabolic equations. Zbl 0679.60040
Evans, L. C.; Souganidis, P. E.
14
1989
...and 23 more Documents
all top 5

Cited by 2,291 Authors

58 Souganidis, Panagiotis E.
42 Barles, Guy
32 Perthame, Benoît
29 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 Crandall, Michael G.
11 Krylov, Nicolaĭ Vladimirovich
11 Mirrahimi, Sepideh
11 Monneau, Régis
11 Quincampoix, Marc
11 Valdinoci, Enrico
11 Xin, Jack X.
10 Bardi, Martino
10 Barron, Emmanuel Nicholas
10 Bellettini, Giovanni
10 Caffarelli, Luis Ángel
10 Chasseigne, Emmanuel
10 Evans, Lawrence Craig
10 Liu, Qing
10 Ryzhik, Lenya
10 Siconolfi, Antonio
10 Touzi, Nizar
10 Zhang, Jianfeng
9 Bouchut, François
9 Cesaroni, Annalisa
9 Friz, Peter Karl
9 Guillen, Nestor
9 Huang, Feimin
9 Katsoulakis, Markos A.
9 Legoll, Frédéric
9 Osher, Stanley Joel
9 Reisinger, Christoph
8 Bayraktar, Erhan
8 Berestycki, Henri
8 Bona, Jerry Lloyd
8 Chambolle, Antonin
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 Qian, Jianliang
8 Schwab, Russell W.
8 Wang, Dehua
7 Bouchard, Bruno
7 Bouin, Emeric
7 Davini, Andrea
7 Finkelshteĭn, Dmitriĭ Leonidovich
7 Gassiat, Paul
7 Gomes, Diogo Luís Aguiar
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 Picarelli, Athena
7 Risebro, Nils Henrik
7 Soravia, Pierpaolo
7 Taras’ev, Aleksandr Mikhaĭlovich
7 Yip, Nung Kwan
7 Zidani, Hasnaa
6 Berthelin, Florent
6 Bokanowski, Olivier
6 Da Lio, Francesca
6 Dirr, Nicolas Peter
6 Fischer, Julian
6 Fleming, Wendell Helms
6 Frid, Hermano
6 Henderson, Christopher
6 Laurençot, Philippe
6 LeFloch, Philippe Gerard
...and 2,191 more Authors
all top 5

Cited in 312 Serials

111 Journal of Differential Equations
81 Archive for Rational Mechanics and Analysis
79 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 of Computational Physics
45 Journal de Mathématiques Pures et Appliquées. Neuvième Série
43 Calculus of Variations and Partial Differential Equations
39 Applied Mathematics and Optimization
32 Journal of Scientific Computing
31 Nonlinear Analysis. Theory, Methods & Applications
29 Transactions of the American Mathematical Society
29 Stochastic Processes and their Applications
29 NoDEA. Nonlinear Differential Equations and Applications
28 Communications on Pure and Applied Mathematics
28 Journal of Functional Analysis
27 Mathematics of Computation
26 SIAM Journal on Control and Optimization
24 Journal of Statistical Physics
24 Physica D
24 SIAM Journal on Mathematical Analysis
23 Comptes Rendus. Mathématique. Académie des Sciences, Paris
22 Numerische Mathematik
22 Applied Numerical Mathematics
22 Probability Theory and Related Fields
21 Communications in Mathematical Physics
20 The Annals of Probability
20 Communications on Pure and Applied Analysis
19 Discrete and Continuous Dynamical Systems
18 Journal of Computational and Applied Mathematics
18 SIAM Journal on Numerical Analysis
18 The Annals of Applied Probability
18 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations
16 Computers & Mathematics with Applications
16 Proceedings of the American Mathematical Society
15 Journal of Optimization Theory and Applications
14 Journal of Mathematical Physics
14 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
13 Mathematische Annalen
13 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
12 Applied Mathematics and Computation
12 Journal of Hyperbolic Differential Equations
12 Stochastic and Partial Differential Equations. Analysis and Computations
11 Applicable Analysis
11 Nonlinearity
11 Automatica
11 Acta Mathematicae Applicatae Sinica. English Series
11 Interfaces and Free Boundaries
11 Nonlinear Analysis. Real World Applications
11 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
10 The Journal of Geometric Analysis
10 Discrete and Continuous Dynamical Systems. Series B
9 Mathematical Methods in the Applied Sciences
9 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV
9 SIAM Journal on Applied Mathematics
9 Bulletin of the American Mathematical Society. New Series
9 Dynamic Games and Applications
8 Computer Methods in Applied Mechanics and Engineering
8 Mathematics of Operations Research
8 Applied Mathematics Letters
8 Physics of Fluids
8 M2AN. Mathematical Modelling and Numerical Analysis. ESAIM, European Series in Applied and Industrial Mathematics
7 ZAMP. Zeitschrift für angewandte Mathematik und Physik
7 Advances in Mathematics
7 Chinese Annals of Mathematics. Series B
7 Numerical Methods for Partial Differential Equations
7 Journal of Economic Dynamics & Control
7 European Journal of Applied Mathematics
7 SIAM Journal on Scientific Computing
7 Journal of the European Mathematical Society (JEMS)
7 SIAM Journal on Financial Mathematics
6 Journal of Applied Mathematics and Mechanics
6 Inventiones Mathematicae
6 Revista Matemática Iberoamericana
6 Japan Journal of Industrial and Applied Mathematics
6 Journal of Dynamics and Differential Equations
6 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI
6 Mathematical Problems in Engineering
6 International Journal of Theoretical and Applied Finance
6 Journal of Evolution Equations
6 Stochastics and Dynamics
6 Multiscale Modeling & Simulation
6 Proceedings of the Steklov Institute of Mathematics
6 Research in the Mathematical Sciences
6 Minimax Theory and its Applications
5 Journal of Mathematical Biology
5 Duke Mathematical Journal
5 Systems & Control Letters
5 Stochastic Analysis and Applications
5 RAIRO. Modélisation Mathématique et Analyse Numérique
5 Journal of Mathematical Sciences (New York)
5 Finance and Stochastics
5 Communications in Nonlinear Science and Numerical Simulation
5 Kinetic and Related Models
5 Analysis & PDE
5 Science China. Mathematics
5 Journal of Dynamics and Games
5 European Series in Applied and Industrial Mathematics (ESAIM): Proceedings and Surveys
4 Journal d’Analyse Mathématique
...and 212 more Serials
all top 5

Cited in 46 Fields

1,478 Partial differential equations (35-XX)
520 Calculus of variations and optimal control; optimization (49-XX)
417 Numerical analysis (65-XX)
355 Probability theory and stochastic processes (60-XX)
284 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
234 Fluid mechanics (76-XX)
191 Systems theory; control (93-XX)
122 Differential geometry (53-XX)
113 Statistical mechanics, structure of matter (82-XX)
103 Dynamical systems and ergodic theory (37-XX)
94 Biology and other natural sciences (92-XX)
71 Mechanics of deformable solids (74-XX)
64 Operations research, mathematical programming (90-XX)
60 Operator theory (47-XX)
51 Integral equations (45-XX)
48 Mechanics of particles and systems (70-XX)
47 Classical thermodynamics, heat transfer (80-XX)
45 Ordinary differential equations (34-XX)
28 Global analysis, analysis on manifolds (58-XX)
24 Computer science (68-XX)
18 Optics, electromagnetic theory (78-XX)
14 Real functions (26-XX)
13 Geophysics (86-XX)
12 Functional analysis (46-XX)
12 Information and communication theory, circuits (94-XX)
11 Measure and integration (28-XX)
8 Quantum theory (81-XX)
6 Potential theory (31-XX)
6 Statistics (62-XX)
5 Difference and functional equations (39-XX)
5 Harmonic analysis on Euclidean spaces (42-XX)
4 General and overarching topics; collections (00-XX)
4 Topological groups, Lie groups (22-XX)
4 Approximations and expansions (41-XX)
4 Convex and discrete geometry (52-XX)
4 Astronomy and astrophysics (85-XX)
3 Combinatorics (05-XX)
3 Relativity and gravitational theory (83-XX)
2 Linear and multilinear algebra; matrix theory (15-XX)
1 Algebraic geometry (14-XX)
1 Nonassociative rings and algebras (17-XX)
1 Functions of a complex variable (30-XX)
1 Sequences, series, summability (40-XX)
1 Abstract harmonic analysis (43-XX)
1 Integral transforms, operational calculus (44-XX)
1 Geometry (51-XX)

Citations by Year