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Souganidis, Panagiotis E.

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Published as: Souganidis, Panagiotis E.; Souganidis, P. E.; Souganidis, Panagiotis
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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 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 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 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

Publications by Year

Citations contained in zbMATH Open

128 Publications have been cited 3,812 times in 2,398 Documents Cited by Year
Convergence of approximation schemes for fully nonlinear second order equations. Zbl 0729.65077
Barles, G.; Souganidis, P. E.
365
1991
Phase transitions and generalized motion by mean curvature. Zbl 0801.35045
Evans, L. C.; Soner, H. M.; Souganidis, P. E.
226
1992
Stability and instability of solitary waves of Korteweg-de Vries type. Zbl 0648.76005
Bona, J. L.; Souganidis, P. E.; Strauss, W. A.
179
1987
Differential games and representation formulas for solutions of Hamilton-Jacobi-Isaacs equations. Zbl 1169.91317
Evans, L. C.; Souganidis, P. E.
168
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.
146
1996
On the existence of value functions of two-player, zero-sum stochastic differential games. Zbl 0686.90049
Fleming, W. H.; Souganidis, P. E.
142
1989
Front propagation and phase field theory. Zbl 0785.35049
Barles, G.; Soner, H. M.; Souganidis, P. E.
139
1993
Approximation schemes for viscosity solutions of Hamilton-Jacobi equations. Zbl 0536.70020
Souganidis, Panagiotis E.
91
1985
A PDE approach to geometric optics for certain semilinear parabolic equations. Zbl 0692.35014
Evans, L. C.; Souganidis, P. E.
75
1989
Large scale front dynamics for turbulent reaction-diffusion equations with separated velocity scales. Zbl 0839.76093
Majda, Andrew J.; Souganidis, Panagiotis E.
66
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.
64
2005
Fully nonlinear stochastic partial differential equations: Non-smooth equations and applications. Zbl 0924.35203
Lions, Pierre-Louis; Souganidis, Panagiotis E.
63
1998
Correctors for the homogenization of Hamilton-Jacobi equations in the stationary ergodic setting. Zbl 1050.35012
Lions, Pierre-Louis; Souganidis, Panagiotis E.
63
2003
Fully nonlinear stochastic partial differential equations. Zbl 1002.60552
Lions, Pierre-Louis; Souganidis, Panagiotis E.
62
1998
Homogenization of “viscous” Hamilton–Jacobi equations in stationary ergodic media. Zbl 1065.35047
Lions, Pierre-Louis; Souganidis, Panagiotis E.
62
2005
A new approach to front propagation problems: theory and applications. Zbl 0904.35034
Barles, Guy; Souganidis, Panagiotis E.
61
1998
Stochastic homogenization of Hamilton-Jacobi equations and some applications. Zbl 0935.35008
Souganidis, Panagiotis E.
60
1999
Space-time periodic solutions and long-time behavior of solutions to quasi-linear parabolic equations. Zbl 0986.35047
Barles, G.; Souganidis, P. E.
56
2001
On the large time behavior of solutions of Hamilton-Jacobi equations. Zbl 0960.70015
Barles, G.; Souganidis, Panagiotis E.
55
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.
54
1985
Instability of a class of dispersive solitary waves. Zbl 0713.35108
Souganidis, P. E.; Strauss, W. A.
51
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.
49
1988
Stochastic homogenization of Hamilton-Jacobi and degenerate Bellman equations in unbounded environments. Zbl 1246.35029
Armstrong, Scott N.; Souganidis, Panagiotis E.
48
2012
Rates of convergence for the homogenization of fully nonlinear uniformly elliptic PDE in random media. Zbl 1192.35048
Caffarelli, Luis A.; Souganidis, Panagiotis E.
47
2010
Generalized motion of noncompact hypersurfaces with velocity having arbitrary growth on the curvature tensor. Zbl 0837.35066
Ishii, Hitoshi; Souganidis, Panagiotis
44
1995
Homogenization of degenerate second-order PDE in periodic and almost periodic environments and applications. Zbl 1135.35092
Lions, Pierre-Louis; Souganidis, Panagiotis E.
44
2005
A limiting case for velocity averaging. Zbl 0956.45010
Perthame, B.; Souganidis, P. E.
43
1998
Existence of viscosity solutions of Hamilton-Jacobi equations. Zbl 0506.35020
Souganidis, Panagiotis E.
42
1985
Stochastic homogenization of level-set convex Hamilton-Jacobi equations. Zbl 1319.35003
Armstrong, Scott N.; Souganidis, Panagiotis E.
37
2013
Convergence of nonlocal threshold dynamics approximations to front propagation. Zbl 1190.65132
Caffarelli, Luis A.; Souganidis, Panagiotis E.
37
2010
Uniqueness of weak solutions of fully nonlinear stochastic partial differential equations. Zbl 0970.60072
Lions, Pierre-Louis; Souganidis, Panagiotis E.
36
2000
Fully nonlinear stochastic PDE with semilinear stochastic dependence. Zbl 0966.60058
Lions, Pierre-Louis; Souganidis, Panagiotis E.
35
2000
Scalar conservation laws with rough (stochastic) fluxes. Zbl 1333.60140
Lions, Pierre-Louis; Perthame, Benoît; Souganidis, Panagiotis E.
34
2013
Asymptotic and numerical homogenization. Zbl 1179.65142
Engquist, B.; Souganidis, P. E.
33
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.
33
2008
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
Long-time behavior, invariant measures, and regularizing effects for stochastic scalar conservation laws. Zbl 1370.60105
Gess, Benjamin; Souganidis, Panagiotis E.
32
2017
Error estimates and convergence rates for the stochastic homogenization of Hamilton-Jacobi equations. Zbl 1286.35023
Armstrong, Scott N.; Cardaliaguet, Pierre; Souganidis, Panagiotis E.
30
2014
Threshold dynamics type approximation schemes for propagating fronts. Zbl 0935.53006
Ishii, Hitoshi; Pires, Gabriel E.; Souganidis, Panagiotis E.
29
1999
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
Singularities and uniqueness of cylindrically symmetric surfaces moving by mean curvature. Zbl 0804.53006
Soner, H. M.; Souganidis, P. E.
27
1993
Scalar conservation laws with rough (stochastic) fluxes: the spatially dependent case. Zbl 1323.35233
Lions, Pierre-Louis; Perthame, Benoît; Souganidis, Panagiotis E.
27
2014
Asymptotic series and the method of vanishing viscosity. Zbl 0573.35034
Fleming, W. H.; Souganidis, P. E.
24
1986
Maximal solutions and universal bounds for some partial differential equations of evolution. Zbl 0706.35067
Crandall, Michael G.; Lions, Pierre-Louis; Souganidis, Panagiotis E.
24
1989
PDE-viscosity solution approach to some problems of large deviations. Zbl 0622.60032
Fleming, Wendell H.; Souganidis, Panagiotis E.
23
1986
Homogenization and enhancement for the \(G\)-equation. Zbl 1294.35002
Cardaliaguet, P.; Nolen, J.; Souganidis, P. E.
23
2011
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.
23
1995
Front propagation: Theory and applications. Zbl 0882.35016
Souganidis, Panagiotis E.
22
1997
Scalar conservation laws with multiple rough fluxes. Zbl 1329.60210
Gess, Benjamin; Souganidis, Panagiotis E.
22
2015
Stochastic Ising models and anisotropic front propagation. Zbl 0937.82034
Katsoulakis, M. A.; Souganidis, P. E.
21
1997
Viscosity solutions for junctions: well posedness and stability. Zbl 1353.35111
Lions, Pierre-Louis; Souganidis, Panagiotis
20
2016
Comparison of turbulent flame speeds from complete averaging and the G-equation. Zbl 1039.80504
Embid, Pedro F.; Majda, Andrew J.; Souganidis, Panagiotis E.
20
1995
A discussion about the homogenization of moving interfaces. Zbl 1180.35070
Cardaliaguet, P.; Lions, P.-L.; Souganidis, P. E.
18
2009
Stochastic non-isotropic degenerate parabolic-hyperbolic equations. Zbl 1372.60090
Gess, Benjamin; Souganidis, Panagiotis E.
18
2017
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.
18
1985
Homogenization and non-homogenization of certain non-convex Hamilton-Jacobi equations. Zbl 1380.35014
Feldman, William M.; Souganidis, Panagiotis E.
18
2017
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.
17
2008
Homogenization and enhancement of the \(G\)-equation in random environments. Zbl 1284.60126
Cardaliaguet, Pierre; Souganidis, Panagiotis E.
17
2013
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
Rare mutations limit of a steady state dispersal evolution model. Zbl 1387.35027
Perthame, Benoit; Souganidis, P. E.
16
2016
Flame fronts in a turbulent combustion model with fractal velocity fields. Zbl 0939.35097
Majda, Andrew J.; Souganidis, Panagiotis
15
1998
Interacting particle systems and generalized evolution of fronts. Zbl 0808.76002
Katsoulakis, Markos A.; Souganidis, Panagiotis E.
15
1994
Stochastic averaging lemmas for kinetic equations. Zbl 1323.35234
Lions, Pierre-Louis; Perthame, Benoît; Souganidis, Panagiotis E.
15
2013
A PDE approach to certain large deviation problems for systems of parabolic equations. Zbl 0679.60040
Evans, L. C.; Souganidis, P. E.
14
1989
Finite volume schemes for Hamilton-Jacobi equations. Zbl 0938.65089
Kossioris, G.; Makridakis, Ch.; Souganidis, P. E.
14
1999
Convergence of difference approximations of quasilinear evolution equations. Zbl 0637.47038
Crandall, Michael G.; Souganidis, Panagiotis E.
13
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.
13
1995
Well-posedness for multi-dimensional junction problems with Kirchoff-type conditions. Zbl 1380.35055
Lions, Pierre-Louis; Souganidis, Panagiotis E.
13
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.
13
2017
Front propagation for a jump process model arising in spacial ecology. Zbl 1085.35017
Perthame, Benoît; Souganidis, P. E.
13
2005
Dissipative and entropy solutions to non-isotropic degenerate parabolic balance laws. Zbl 1059.35044
Perthame, Benoît; Souganidis, P. E.
12
2003
Large-time behavior for viscous and nonviscous Hamilton–Jacobi equations forced by additive noise. Zbl 1099.35185
Dirr, Nicolas; Souganidis, Panagiotis E.
12
2005
Some counterexamples on the asymptotic behavior of the solutions of Hamilton-Jacobi equations. Zbl 0954.35046
Barles, Guy; Souganidis, Panagiotis E.
12
2000
Uniqueness of motion by mean curvature perturbed by stochastic noise. Zbl 1057.35106
Souganidis, P. E.; Yip, N. K.
12
2004
Asymmetric potentials and motor effect: a homogenization approach. Zbl 1180.35081
Perthame, Benoît; Souganidis, Panagiotis E.
11
2009
Phase-field theory for Fitzhugh-Nagumo-type systems. Zbl 0863.35047
Soravia, Pierpaolo; Souganidis, Panagiotis E.
10
1996
A regularity result for viscosity solutions of Hamilton-Jacobi equations in one space dimension. Zbl 0657.35083
Jensen, R.; Souganidis, P. E.
9
1987
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.
9
2017
A PDE approach to small stochastic perturbations of Hamiltonian flows. Zbl 1287.37036
Ishii, Hitoshi; Souganidis, Panagiotis E.
9
2012
Front propagation for reaction-diffusion equations of bistable type. Zbl 0794.35076
Barles, G.; Bronsard, L.; Souganidis, P. E.
9
1992
Time fluctuations in a population model of adaptive dynamics. Zbl 1312.35011
Mirrahimi, Sepideh; Perthame, Benoît; Souganidis, Panagiotis E.
9
2015
Semi-discretization for stochastic scalar conservation laws with multiple rough fluxes. Zbl 1345.60069
Gess, Benjamin; Perthame, Benoît; Souganidis, Panagiotis E.
8
2016
Viscosity solutions of second-order equations, stochastic control and stochastic differential games. Zbl 0825.49042
Lions, P.-L.; Souganidis, P. E.
8
1988
A remark about viscosity solutions of Hamilton-Jacobi equations at the boundary. Zbl 0598.35066
Souganidis, P. E.
8
1986
Convergence of MUSCL type methods for scalar conservation laws. Zbl 0712.65082
Lions, Pierre-Louis; Souganidis, Panagiotis
8
1990
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.
8
2010
Front propagation for integro-differential KPP reaction-diffusion equations in periodic media. Zbl 1423.35212
Souganidis, Panagiotis E.; Tarfulea, Andrei
8
2019
A remark on the asymptotic behavior of the solution of the KPP equation. Zbl 0807.60076
Barles, Guy; Souganidis, Panagiotis E.
7
1994
Stochastic homogenization of interfaces moving with changing sign velocity. Zbl 1308.35024
Ciomaga, Adina; Souganidis, Panagiotis E.; Tran, Hung V.
7
2015
Free boundary problems for tumor growth: a viscosity solutions approach. Zbl 1334.35360
Kim, Inwon C.; Perthame, Benoît; Souganidis, Panagiotis E.
7
2016
On nonlinear equations of evolution. Zbl 0686.47048
Crandall, Michael G.; Souganidis, Panagiotis E.
6
1989
Remarks on the Dirichlet problem for quasilinear elliptic and parabolic equations. Zbl 0928.35049
Barles, Guy; Rouy, Elisabeth; Souganidis, Panagiotis E.
6
1999
Two-player, zero-sum differential games and viscosity solutions. Zbl 0947.91014
Souganidis, Panagiotis E.
6
1999
Asymmetric potentials and motor effect: a large deviation approach. Zbl 1171.82012
Perthame, Benoît; Souganidis, Panagiotis E.
6
2009
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.
6
2020
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.
6
2018
Stochastic homogenization of viscous superquadratic Hamilton-Jacobi equations in dynamic random environment. Zbl 1358.35012
Jing, Wenjia; Souganidis, Panagiotis E.; Tran, Hung V.
5
2017
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.
5
1999
Recent developments in the theory of nonlinear scalar first and second order partial differential equations. Zbl 0653.35008
Souganidis, P. E.
4
1987
Interface dynamics in phase transitions. Zbl 0845.35045
Souganidis, Panagiotis E.
4
1995
Scaling limits and stochastic homogenization for some nonlinear parabolic equations. Zbl 1479.35058
Cardaliaguet, Pierre; Dirr, Nicolas; Souganidis, Panagiotis E.
1
2022
Monotone solutions of the master equation for mean field games with idiosyncratic noise. Zbl 07562644
Cardaliaguet, Pierre; Souganidis, Panagiotis
1
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.
6
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.
3
2020
Brownian fluctuations of flame fronts with small random advection. Zbl 1450.35307
Henderson, Christopher; Souganidis, Panagiotis E.
2
2020
The asymptotics of stochastically perturbed reaction-diffusion equations and front propagation. Zbl 1453.60122
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
8
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.
6
2018
Super-linear propagation for a general, local cane toads model. Zbl 1407.35112
Henderson, Christopher; Perthame, Benoît; Souganidis, Panagiotis E.
2
2018
Long-time behavior, invariant measures, and regularizing effects for stochastic scalar conservation laws. Zbl 1370.60105
Gess, Benjamin; Souganidis, Panagiotis E.
32
2017
Stochastic non-isotropic degenerate parabolic-hyperbolic equations. Zbl 1372.60090
Gess, Benjamin; Souganidis, Panagiotis E.
18
2017
Homogenization and non-homogenization of certain non-convex Hamilton-Jacobi equations. Zbl 1380.35014
Feldman, William M.; Souganidis, Panagiotis E.
18
2017
Well-posedness for multi-dimensional junction problems with Kirchoff-type conditions. Zbl 1380.35055
Lions, Pierre-Louis; Souganidis, Panagiotis E.
13
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.
13
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.
9
2017
Stochastic homogenization of viscous superquadratic Hamilton-Jacobi equations in dynamic random environment. Zbl 1358.35012
Jing, Wenjia; Souganidis, Panagiotis E.; Tran, Hung V.
5
2017
Metastability for parabolic equations with drift. II: The quasilinear case. Zbl 1387.35052
Ishii, Hitoshi; Souganidis, Panagiotis E.
2
2017
Viscosity solutions for junctions: well posedness and stability. Zbl 1353.35111
Lions, Pierre-Louis; Souganidis, Panagiotis
20
2016
Rare mutations limit of a steady state dispersal evolution model. Zbl 1387.35027
Perthame, Benoit; Souganidis, P. E.
16
2016
Semi-discretization for stochastic scalar conservation laws with multiple rough fluxes. Zbl 1345.60069
Gess, Benjamin; Perthame, Benoît; Souganidis, Panagiotis E.
8
2016
Free boundary problems for tumor growth: a viscosity solutions approach. Zbl 1334.35360
Kim, Inwon C.; Perthame, Benoît; Souganidis, Panagiotis E.
7
2016
Scalar conservation laws with multiple rough fluxes. Zbl 1329.60210
Gess, Benjamin; Souganidis, Panagiotis E.
22
2015
Time fluctuations in a population model of adaptive dynamics. Zbl 1312.35011
Mirrahimi, Sepideh; Perthame, Benoît; Souganidis, Panagiotis E.
9
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.
3
2015
Metastability for parabolic equations with drift. I. Zbl 1327.35140
Ishii, Hitoshi; Souganidis, Panagiotis E.
3
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
Error estimates and convergence rates for the stochastic homogenization of Hamilton-Jacobi equations. Zbl 1286.35023
Armstrong, Scott N.; Cardaliaguet, Pierre; Souganidis, Panagiotis E.
30
2014
Scalar conservation laws with rough (stochastic) fluxes: the spatially dependent case. Zbl 1323.35233
Lions, Pierre-Louis; Perthame, Benoît; Souganidis, Panagiotis E.
27
2014
Stochastic homogenization of level-set convex Hamilton-Jacobi equations. Zbl 1319.35003
Armstrong, Scott N.; Souganidis, Panagiotis E.
37
2013
Scalar conservation laws with rough (stochastic) fluxes. Zbl 1333.60140
Lions, Pierre-Louis; Perthame, Benoît; Souganidis, Panagiotis E.
34
2013
Homogenization and enhancement of the \(G\)-equation in random environments. Zbl 1284.60126
Cardaliaguet, Pierre; Souganidis, Panagiotis E.
17
2013
Stochastic averaging lemmas for kinetic equations. Zbl 1323.35234
Lions, Pierre-Louis; Perthame, Benoît; Souganidis, Panagiotis E.
15
2013
A homogenization approach for the motion of motor proteins. Zbl 1262.35023
Mirrahimi, S.; Souganidis, P. E.
4
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.
48
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.
3
2012
Homogenization and enhancement for the \(G\)-equation. Zbl 1294.35002
Cardaliaguet, P.; Nolen, J.; Souganidis, P. E.
23
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.
47
2010
Convergence of nonlocal threshold dynamics approximations to front propagation. Zbl 1190.65132
Caffarelli, Luis A.; Souganidis, Panagiotis E.
37
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.
8
2010
A discussion about the homogenization of moving interfaces. Zbl 1180.35070
Cardaliaguet, P.; Lions, P.-L.; Souganidis, P. E.
18
2009
Asymmetric potentials and motor effect: a homogenization approach. Zbl 1180.35081
Perthame, Benoît; Souganidis, Panagiotis E.
11
2009
Asymmetric potentials and motor effect: a large deviation approach. Zbl 1171.82012
Perthame, Benoît; Souganidis, Panagiotis E.
6
2009
Asymptotic and numerical homogenization. Zbl 1179.65142
Engquist, B.; Souganidis, P. E.
33
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.
33
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.
17
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.
64
2005
Homogenization of “viscous” Hamilton–Jacobi equations in stationary ergodic media. Zbl 1065.35047
Lions, Pierre-Louis; Souganidis, Panagiotis E.
62
2005
Homogenization of degenerate second-order PDE in periodic and almost periodic environments and applications. Zbl 1135.35092
Lions, Pierre-Louis; Souganidis, Panagiotis E.
44
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.
12
2005
Uniqueness of motion by mean curvature perturbed by stochastic noise. Zbl 1057.35106
Souganidis, P. E.; Yip, N. K.
12
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.
63
2003
Dissipative and entropy solutions to non-isotropic degenerate parabolic balance laws. Zbl 1059.35044
Perthame, Benoît; Souganidis, P. E.
12
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.
56
2001
On the large time behavior of solutions of Hamilton-Jacobi equations. Zbl 0960.70015
Barles, G.; Souganidis, Panagiotis E.
55
2000
Uniqueness of weak solutions of fully nonlinear stochastic partial differential equations. Zbl 0970.60072
Lions, Pierre-Louis; Souganidis, Panagiotis E.
36
2000
Fully nonlinear stochastic PDE with semilinear stochastic dependence. Zbl 0966.60058
Lions, Pierre-Louis; Souganidis, Panagiotis E.
35
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.
60
1999
Threshold dynamics type approximation schemes for propagating fronts. Zbl 0935.53006
Ishii, Hitoshi; Pires, Gabriel E.; Souganidis, Panagiotis E.
29
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.
6
1999
Two-player, zero-sum differential games and viscosity solutions. Zbl 0947.91014
Souganidis, Panagiotis E.
6
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.
5
1999
Fully nonlinear stochastic partial differential equations: Non-smooth equations and applications. Zbl 0924.35203
Lions, Pierre-Louis; Souganidis, Panagiotis E.
63
1998
Fully nonlinear stochastic partial differential equations. Zbl 1002.60552
Lions, Pierre-Louis; Souganidis, Panagiotis E.
62
1998
A new approach to front propagation problems: theory and applications. Zbl 0904.35034
Barles, Guy; Souganidis, Panagiotis E.
61
1998
A limiting case for velocity averaging. Zbl 0956.45010
Perthame, B.; Souganidis, P. E.
43
1998
Flame fronts in a turbulent combustion model with fractal velocity fields. Zbl 0939.35097
Majda, Andrew J.; Souganidis, Panagiotis
15
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.
21
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.
146
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.
1
1996
Generalized motion of noncompact hypersurfaces with velocity having arbitrary growth on the curvature tensor. Zbl 0837.35066
Ishii, Hitoshi; Souganidis, Panagiotis
44
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.
23
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.
20
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.
13
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.
66
1994
Interacting particle systems and generalized evolution of fronts. Zbl 0808.76002
Katsoulakis, Markos A.; Souganidis, Panagiotis E.
15
1994
A remark on the asymptotic behavior of the solution of the KPP equation. Zbl 0807.60076
Barles, Guy; Souganidis, Panagiotis E.
7
1994
Front propagation and phase field theory. Zbl 0785.35049
Barles, G.; Soner, H. M.; Souganidis, P. E.
139
1993
Singularities and uniqueness of cylindrically symmetric surfaces moving by mean curvature. Zbl 0804.53006
Soner, H. M.; Souganidis, P. E.
27
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.
226
1992
Front propagation for reaction-diffusion equations of bistable type. Zbl 0794.35076
Barles, G.; Bronsard, L.; Souganidis, P. E.
9
1992
Convergence of approximation schemes for fully nonlinear second order equations. Zbl 0729.65077
Barles, G.; Souganidis, P. E.
365
1991
Instability of a class of dispersive solitary waves. Zbl 0713.35108
Souganidis, P. E.; Strauss, W. A.
51
1990
...and 28 more Documents
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Cited by 2,559 Authors

62 Souganidis, Panagiotis E.
43 Barles, Guy
34 Perthame, Benoît
29 Lions, Pierre-Louis
29 Tran Vinh Hung
23 Cardaliaguet, Pierre
23 Ishii, Hitoshi
22 Mitake, Hiroyoshi
21 Gess, Benjamin
21 Giga, Yoshikazu
21 Lu, Yunguang
19 Novaga, Matteo
18 Camilli, Fabio
17 Chen, Gui-Qiang G.
16 Karlsen, Kenneth Hvistendahl
16 Kim, Inwon Christina
16 Ley, Olivier
16 Soner, Halil Mete
15 Armstrong, Scott N.
15 Feng, Xiaobing
14 Oberman, Adam M.
14 Valdinoci, Enrico
14 Yu, Yifeng
13 Buckdahn, Rainer
13 Falcone, Maurizio
13 Forsyth, Peter A.
13 Xin, Jack X.
12 Cesaroni, Annalisa
12 Jakobsen, Espen Robstad
12 Mirrahimi, Sepideh
12 Roquejoffre, Jean-Michel
12 Siconolfi, Antonio
11 Bellettini, Giovanni
11 Huang, Feimin
11 Krylov, Nicolaĭ Vladimirovich
11 Liu, Qing
11 Monneau, Régis
11 Quincampoix, Marc
11 Reisinger, Christoph
10 Barron, Emmanuel Nicholas
10 Caffarelli, Luis Ángel
10 Chasseigne, Emmanuel
10 Crandall, Michael G.
10 Legoll, Frédéric
10 Muñoz, Claudio
10 Natali, Fábio M. Amorin
10 Ryzhik, Lenya
10 Touzi, Nizar
10 Zhang, Jianfeng
9 Bardi, Martino
9 Bayraktar, Erhan
9 Berestycki, Henri
9 Bona, Jerry Lloyd
9 Bouchut, François
9 Chambolle, Antonin
9 Friz, Peter Karl
9 Guillen, Nestor
9 Henderson, Christopher
9 Katsoulakis, Markos A.
9 Le Bris, Claude
9 Martel, Yvan
9 Wang, Dehua
8 Chen, Xinfu
8 Davini, Andrea
8 Ferretti, Roberto Giorgio
8 Gomes, Diogo Luís Aguiar
8 Imbert, Cyril
8 Lam, King-Yeung
8 Lewis, Thomas Lee
8 Majda, Andrew J.
8 Marchi, Claudio
8 Nguyen, Vinh Duc
8 Nochetto, Ricardo Horacio
8 Osher, Stanley Joel
8 Pastor, Ademir
8 Picarelli, Athena
8 Qian, Jianliang
8 Schwab, Russell W.
8 Seeger, Benjamin
8 Yannacopoulos, Athanasios N.
8 Yoshioka, Hidekazu
7 Bokanowski, Olivier
7 Bouchard, Bruno
7 Bouin, Emeric
7 El Hajj, Ahmad
7 Evans, Lawrence Craig
7 Finkelshteĭn, Dmitriĭ Leonidovich
7 Fischer, Julian
7 Froese Hamfeldt, Brittany
7 Gassiat, Paul
7 Hofmanová, Martina
7 Laux, Tim
7 Li, Juan
7 Liu, Yue
7 Lorenzi, Tommaso
7 Matoussi, Anis
7 Neilan, Michael
7 Oberhauser, Harald
7 Požár, Norbert
7 Risebro, Nils Henrik
...and 2,459 more Authors
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Cited in 351 Serials

123 Journal of Differential Equations
92 Archive for Rational Mechanics and Analysis
85 Communications in Partial Differential Equations
61 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
56 Journal of Mathematical Analysis and Applications
52 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
51 Journal of Computational Physics
51 Journal de Mathématiques Pures et Appliquées. Neuvième Série
49 Calculus of Variations and Partial Differential Equations
46 Applied Mathematics and Optimization
38 Journal of Scientific Computing
34 SIAM Journal on Mathematical Analysis
32 NoDEA. Nonlinear Differential Equations and Applications
30 Journal of Functional Analysis
30 Transactions of the American Mathematical Society
30 Stochastic Processes and their Applications
29 Nonlinear Analysis. Theory, Methods & Applications
28 Communications on Pure and Applied Mathematics
28 Mathematics of Computation
28 Physica D
27 SIAM Journal on Control and Optimization
26 Numerische Mathematik
24 Journal of Statistical Physics
23 Communications in Mathematical Physics
23 Applied Numerical Mathematics
23 Probability Theory and Related Fields
23 Discrete and Continuous Dynamical Systems
23 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations
22 SIAM Journal on Numerical Analysis
22 Comptes Rendus. Mathématique. Académie des Sciences, Paris
21 The Annals of Probability
21 Journal of Computational and Applied Mathematics
21 Communications on Pure and Applied Analysis
20 The Annals of Applied Probability
19 Computers & Mathematics with Applications
17 Journal of Optimization Theory and Applications
17 Proceedings of the American Mathematical Society
17 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
16 Mathematische Annalen
15 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
14 Journal of Mathematical Physics
14 Journal of Hyperbolic Differential Equations
14 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
13 Nonlinearity
13 Applied Mathematics and Computation
12 Discrete and Continuous Dynamical Systems. Series B
12 Dynamic Games and Applications
12 Stochastic and Partial Differential Equations. Analysis and Computations
11 Applicable Analysis
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11 Acta Mathematicae Applicatae Sinica. English Series
11 Interfaces and Free Boundaries
11 Nonlinear Analysis. Real World Applications
11 SIAM Journal on Financial Mathematics
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9 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV
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8 M2AN. Mathematical Modelling and Numerical Analysis. ESAIM, European Series in Applied and Industrial Mathematics
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8 Analysis & PDE
8 Séminaire Laurent Schwartz. EDP et Applications
7 ZAMP. Zeitschrift für angewandte Mathematik und Physik
7 Advances in Mathematics
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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 International Journal of Theoretical and Applied Finance
7 Journal of the European Mathematical Society (JEMS)
7 Stochastics and Dynamics
6 Journal of Applied Mathematics and Mechanics
6 Journal of Mathematical Biology
6 Inventiones Mathematicae
6 Revista Matemática Iberoamericana
6 Japan Journal of Industrial and Applied Mathematics
6 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI
6 Mathematical Problems in Engineering
6 Communications in Nonlinear Science and Numerical Simulation
6 Acta Mathematica Scientia. Series B. (English Edition)
6 Proceedings of the Steklov Institute of Mathematics
6 Research in the Mathematical Sciences
6 Minimax Theory and its Applications
6 SN Partial Differential Equations and Applications
5 Duke Mathematical Journal
5 Systems & Control Letters
5 Stochastic Analysis and Applications
5 Acta Applicandae Mathematicae
5 RAIRO. Modélisation Mathématique et Analyse Numérique
5 Asymptotic Analysis
5 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques
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