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Barles, Guy

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Author ID: barles.guy Recent zbMATH articles by "Barles, Guy"
Published as: Barles, Guy; Barles, G.
Documents Indexed: 118 Publications since 1984, including 1 Book
all top 5

Serials

10 Communications in Partial Differential Equations
8 Journal of Differential Equations
6 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
6 Asymptotic Analysis
6 SIAM Journal on Mathematical Analysis
5 Indiana University Mathematics Journal
5 SIAM Journal on Control and Optimization
4 Archive for Rational Mechanics and Analysis
4 Calculus of Variations and Partial Differential Equations
3 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
3 Differential and Integral Equations
3 Journal de Mathématiques Pures et Appliquées. Neuvième Série
3 Comptes Rendus de l’Académie des Sciences. Série I
3 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations
2 Applied Mathematics and Optimization
2 SIAM Journal on Numerical Analysis
2 Advances in Differential Equations
2 Interfaces and Free Boundaries
2 Networks and Heterogeneous Media
2 Nonlinear Analysis. Theory, Methods & Applications
1 Journal of Mathematical Biology
1 Mathematical Biosciences
1 Nonlinearity
1 Mathematics of Computation
1 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV
1 Duke Mathematical Journal
1 Journal of Functional Analysis
1 Mathematische Annalen
1 Ricerche di Matematica
1 Transactions of the American Mathematical Society
1 Annales de la Faculté des Sciences de Toulouse. Série V. Mathématiques
1 RAIRO. Modélisation Mathématique et Analyse Numérique
1 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
1 Stochastics and Stochastics Reports
1 NoDEA. Nonlinear Differential Equations and Applications
1 Methods and Applications of Analysis
1 Finance and Stochastics
1 Mathematical Finance
1 European Series in Applied and Industrial Mathematics (ESAIM): Proceedings
1 Comptes Rendus de l’Académie des Sciences. Série I. Mathématique
1 Journal of the European Mathematical Society (JEMS)
1 M2AN. Mathematical Modelling and Numerical Analysis. ESAIM, European Series in Applied and Industrial Mathematics
1 Comptes Rendus. Mathématique. Académie des Sciences, Paris
1 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V
1 Mathématiques & Applications (Berlin)
1 MathematicS In Action
1 Bulletin of Mathematical Sciences
1 Mathematical Control and Related Fields
1 Journal of Theoretical Biology

Publications by Year

Citations contained in zbMATH Open

113 Publications have been cited 3,335 times in 1,995 Documents Cited by Year
Convergence of approximation schemes for fully nonlinear second order equations. Zbl 0729.65077
Barles, G.; Souganidis, P. E.
312
1991
Viscosity solutions of Hamilton-Jacobi equations. (Solutions de viscosité des équations de Hamilton-Jacobi.) Zbl 0819.35002
Barles, Guy
251
1994
Backward stochastic differential equations and integral-partial differential equations. Zbl 0878.60036
Barles, Guy; Buckdahn, Rainer; Pardoux, Etienne
199
1997
Second-order elliptic integro-differential equations: viscosity solutions’ theory revisited. Zbl 1155.45004
Barles, Guy; Imbert, Cyril
138
2008
Front propagation and phase field theory. Zbl 0785.35049
Barles, G.; Soner, H. M.; Souganidis, P. E.
126
1993
Option pricing with transaction costs and a nonlinear Black-Scholes equation. Zbl 0915.35051
Barles, Guy; Soner, Halil Mete
98
1998
Exit time problems in optimal control and vanishing viscosity method. Zbl 0674.49027
Barles, G.; Perthame, B.
88
1988
Discontinuous solutions of deterministic optimal stopping time problems. Zbl 0629.49017
Barles, G.; Perthame, B.
81
1987
On the convergence rate of approximation schemes for Hamilton-Jacobi-Bellman equations. Zbl 0998.65067
Barles, Guy; Jakobsen, Espen Robstad
71
2002
Existence and comparison results for fully nonlinear degenerate elliptic equations without Zeroth-order term. Zbl 0997.35023
Barles, G.; Busca, Jérôme
70
2001
On the Dirichlet problem for second-order elliptic integro-differential equations. Zbl 1139.47057
Barles, G.; Chasseigne, E.; Imbert, C.
66
2008
A simple proof of convergence for an approximation scheme for computing motions by mean curvature. Zbl 0831.65138
Barles, Guy; Georgelin, Christine
56
1995
A new approach to front propagation problems: theory and applications. Zbl 0904.35034
Barles, Guy; Souganidis, Panagiotis E.
55
1998
On the large time behavior of solutions of Hamilton-Jacobi equations. Zbl 0960.70015
Barles, G.; Souganidis, Panagiotis E.
53
2000
Error bounds for monotone approximation schemes for parabolic Hamilton-Jacobi-Bellman equations. Zbl 1123.65096
Barles, Guy; Jakobsen, Espen R.
53
2007
Convergence of numerical schemes for degenerate parabolic equations arising in finance theory. Zbl 0898.90015
Barles, G.
52
1997
Space-time periodic solutions and long-time behavior of solutions to quasi-linear parabolic equations. Zbl 0986.35047
Barles, G.; Souganidis, P. E.
51
2001
Hölder continuity of solutions of second-order non-linear elliptic integro-differential equations. Zbl 1207.35277
Barles, Guy; Chasseigne, Emmanuel; Imbert, Cyril
51
2011
Error bounds for monotone approximation schemes for Hamilton-Jacobi-Bellman equations. Zbl 1092.65077
Barles, Guy; Jakobsen, Espen R.
50
2005
Dirac concentrations in Lotka-Volterra parabolic PDEs. Zbl 1172.35005
Perthame, Benoit; Barles, Guy
50
2008
Uniqueness and the maximum principle for quasilinear elliptic equations with quadratic growth conditions. Zbl 0859.35031
Barles, Guy; Murat, François
49
1995
Convergence of numerical schemes for parabolic equations arising in finance theory. Zbl 0822.65056
Barles, G.; Daher, Ch.; Romano, M.
48
1995
Critical stock price near expiration. Zbl 0866.90029
Barles, Guy; Burdeau, Julien; Romano, Marc; Samsœn, Nicolas
43
1995
Wavefront propagation for reaction-diffusion systems of PDE. Zbl 0749.35015
Barles, G.; Evans, L. C.; Sougandis, P. E.
43
1990
Fully nonlinear Neumann type boundary conditions for second-order elliptic and parabolic equations. Zbl 0786.35051
Barles, G.
40
1993
The Dirichlet problem for semilinear second-order degenerate elliptic equations and applications to stochastic exit time control problems. Zbl 0826.35038
Barles, G.; Burdeau, J.
39
1995
Nonlinear Neumann boundary conditions for quasilinear degenerate elliptic equations and applications. Zbl 0924.35051
Barles, Guy
38
1999
Concentration in Lotka-Volterra parabolic or integral equations: a general convergence result. Zbl 1204.35027
Barles, Guy; Mirrahimi, Sepideh; Perthame, Benoît
37
2009
Comparison principle for Dirichlet-type Hamilton-Jacobi equations and singular perturbations of degenerated elliptic equations. Zbl 0691.49028
Barles, G.; Perthame, B.
35
1990
Discontinuous viscosity solutions of first-order Hamilton-Jacobi equations: A guided visit. Zbl 0816.35081
Barles, Guy
34
1993
Lipschitz regularity of solutions for mixed integro-differential equations. Zbl 1298.35033
Barles, Guy; Chasseigne, Emmanuel; Ciomaga, Adina; Imbert, Cyril
34
2012
Deterministic impulse control problems. Zbl 0571.49020
Barles, G.
33
1985
A strong comparison result for the Bellman equation arising in stochastic exit time control problems and its applications. Zbl 0919.35009
Barles, G.; Rouy, E.
28
1998
On the generalized Dirichlet problem for viscous Hamilton–Jacobi equations. Zbl 1056.35071
Barles, Guy; Da Lio, Francesca
27
2004
Uniqueness for unbounded solutions to stationary viscous Hamilton-Jacobi equations. Zbl 1150.35030
Barles, Guy; Porretta, Alessio
27
2006
Remarks on uniqueness results of the first eigenvalue of the p-Laplacian. Zbl 0621.35068
Barles, G.
26
1988
A Bellman approach for two-domains optimal control problems in \(\mathbb{R}^N\). Zbl 1287.49028
Barles, G.; Briani, A.; Chasseigne, E.
26
2013
A geometrical approach to the study of unbounded solutions of quasilinear parabolic equations. Zbl 1052.35084
Barles, Guy; Biton, Samuel; Ley, Olivier
25
2002
Concentrations and constrained Hamilton-Jacobi equations arising in adaptive dynamics. Zbl 1137.49027
Barles, Guy; Perthame, Benoît
25
2007
An introduction to the theory of viscosity solutions for first-order Hamilton-Jacobi equations and applications. Zbl 1269.49043
Barles, Guy
25
2013
Remarks on the maximum principle for nonlinear elliptic PDEs with quadratic growth conditions. Zbl 0940.35078
Barles, Guy; Blanc, Alain-Philippe; Georgelin, Christine; Kobylanski, Magdalena
24
1999
A weak Bernstein method for fully non-linear elliptic equations. Zbl 0733.35014
Barles, G.
24
1991
SDE, BSDE and PDE. Zbl 0886.60049
Barles, G.; Lesigne, E.
22
1997
Ergodic type problems and large time behaviour of unbounded solutions of Hamilton-Jacobi equations. Zbl 1107.35019
Barles, Guy; Roquejoffre, Jean-Michel
22
2006
Some homogenization results for non-coercive Hamilton-Jacobi equations. Zbl 1136.35004
Barles, Guy
22
2007
A Bellman approach for regional optimal control problems in \(\mathbb{R}^N\). Zbl 1297.49041
Barles, G.; Briani, A.; Chasseigne, E.
21
2014
Existence results for first order Hamilton Jacobi equations. Zbl 0574.70019
Barles, G.
20
1984
A short proof of the \(C^{0,\alpha }\)-regularity of viscosity subsolutions for superquadratic viscous Hamilton-Jacobi equations and applications. Zbl 1190.35081
Barles, Guy
20
2010
On the large time behavior of solutions of the Dirichlet problem for subquadratic viscous Hamilton-Jacobi equations. Zbl 1209.37069
Barles, Guy; Porretta, Alessio; Tchamba, Thierry Tabet
19
2010
Uniqueness results for quasilinear parabolic equations through viscosity solutions’ methods. Zbl 1036.35001
Barles, Guy; Biton, Samuel; Bourgoing, Mariane; Ley, Olivier
18
2003
Large time behavior of periodic viscosity solutions for uniformly parabolic integro-differential equations. Zbl 1293.35037
Barles, Guy; Chasseigne, Emmanuel; Ciomaga, Adina; Imbert, Cyril
18
2014
Global existence results and uniqueness for dislocation equations. Zbl 1158.49029
Barles, Guy; Cardaliaguet, Pierre; Ley, Olivier; Monneau, Régis
17
2008
On Neumann type problems for nonlocal equations set in a half space. Zbl 1323.35192
Barles, Guy; Chasseigne, Emmanuel; Georgelin, Christine; Jakobsen, Espen R.
17
2014
Nonlocal first-order Hamilton-Jacobi equations modelling dislocations dynamics. Zbl 1109.35026
Barles, Guy; Ley, Olivier
16
2006
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
On Neumann and oblique derivatives boundary conditions for nonlocal elliptic equations. Zbl 1285.35122
Barles, Guy; Georgelin, Christine; Jakobsen, Espen R.
14
2014
Optimal control on the \(L^ \infty\) norm of a diffusion process. Zbl 0825.93979
Barles, Guy; Daher, Christian; Romano, Marc
13
1994
On the boundary ergodic problem for fully nonlinear equations in bounded domains with general nonlinear Neumann boundary conditions. Zbl 1130.35047
Barles, Guy; Da Lio, Francesca
13
2005
Regularity results and large time behavior for integro-differential equations with coercive Hamiltonians. Zbl 1336.35347
Barles, Guy; Koike, Shigeaki; Ley, Olivier; Topp, Erwin
13
2015
Uniqueness and regularity results for first-order Hamilton-Jacobi equations. Zbl 0709.35024
Barles, G.
12
1990
Fully nonlinear Neumann type boundary conditions for first-order Hamilton-Jacobi equations. Zbl 0736.35023
Barles, G.; Lions, P. L.
12
1991
Interior gradient bounds for the mean curvature equation by viscosity solutions methods. Zbl 0735.35020
Barles, G.
12
1991
Some counterexamples on the asymptotic behavior of the solutions of Hamilton-Jacobi equations. Zbl 0954.35046
Barles, Guy; Souganidis, Panagiotis E.
12
2000
Commutation properties of semigroups for first-order Hamilton-Jacobi equations and application to multi-time equations. Zbl 1044.49022
Barles, Guy; Tourin, Agnès
12
2001
Remarques sur des résultats d’existence pour les équations de Hamilton-Jacobi du premier ordre. Zbl 0573.35010
Barles, G.
11
1985
A geometric approach to front propagation problems in bounded domains with Neumann-type boundary conditions. Zbl 1046.35059
Barles, Guy; Da Lio, Francesca
11
2003
An approach of deterministic control problems with unbounded data. Zbl 0717.49021
Barles, G.
10
1990
A new stability result for viscosity solutions of nonlinear parabolic equations with weak convergence in time. Zbl 1102.35014
Barles, Guy
10
2006
A new PDE approach to the large time asymptotics of solutions of Hamilton-Jacobi equations. Zbl 1284.35065
Barles, Guy; Ishii, Hitoshi; Mitake, Hiroyoshi
10
2013
Uniqueness and continuum of foliated solutions for a quasilinear elliptic equation with a non Lipschitz nonlinearity. Zbl 0820.35047
Barles, G.; Díaz, G.; Díaz, J. I.
9
1992
Uniqueness for parabolic equations without growth condition and applications to the mean curvature flow in \(\mathbb R^2\). Zbl 1028.35067
Barles, Guy; Biton, Samuel; Ley, Olivier
9
2003
Uniqueness results for nonlocal Hamilton-Jacobi equations. Zbl 1169.49028
Barles, Guy; Cardaliaguet, Pierre; Ley, Olivier; Monteillet, Aurélien
9
2009
A PDE approach to large-time asymptotics for boundary-value problems for nonconvex Hamilton-Jacobi equations. Zbl 1243.35021
Barles, Guy; Mitake, Hiroyoshi
9
2012
Front propagation for reaction-diffusion equations of bistable type. Zbl 0794.35076
Barles, G.; Bronsard, L.; Souganidis, P. E.
8
1992
Local \(C^{0,\alpha }\) estimates for viscosity solutions of Neumann-type boundary value problems. Zbl 1147.35312
Barles, Guy; Da Lio, Francesca
8
2006
Unbounded viscosity solutions of hybrid control systems. Zbl 1183.49026
Barles, Guy; Dharmatti, Sheetal; Ramaswamy, Mythily
8
2010
On unbounded solutions of ergodic problems in \(\mathbb{R}^m\) for viscous Hamilton-Jacobi equations. Zbl 1358.35037
Barles, Guy; Meireles, Joao
8
2016
(Almost) everything you always wanted to know about deterministic control problems in stratified domains. Zbl 1346.49039
Chasseigne, Emmanuel; Barles, Guy
8
2015
On the large time behavior of solutions of Hamilton-Jacobi equations associated with nonlinear boundary conditions. Zbl 1282.70037
Barles, Guy; Ishii, Hitoshi; Mitake, Hiroyoshi
8
2012
Asymptotic behavior of viscosity solutions of first order Hamilton-Jacobi equations. Zbl 0637.49014
Barles, G.
7
1985
Remarks on the Dirichlet and state-constraint problems for quasilinear parabolic equations. Zbl 1073.35120
Barles, Guy; Da Lio, Francesca
7
2003
Large time behaviour of fronts governed by eikonal equations. Zbl 1038.35173
Barles, Guy; Roquejoffre, Jean-Michel
7
2003
Existence of weak solutions for general nonlocal and nonlinear second-order parabolic equations. Zbl 1166.49027
Barles, Guy; Cardaliaguet, Pierre; Ley, Olivier; Monteillet, Aurélien
7
2009
Convergence to steady states for radially symmetric solutions to a quasilinear degenerate diffusive Hamilton-Jacobi equation. Zbl 1211.35042
Barles, Guy; Laurençot, Philippe; Stinner, Christian
7
2010
Deterministic minimax impulse control. Zbl 1198.49025
El Farouq, Naïma; Barles, Guy; Bernhard, Pierre
7
2010
Homogenization of fronts in highly heterogeneous media. Zbl 1228.35026
Barles, Guy; Cesaroni, Annalisa; Novaga, Matteo
7
2011
On Eikonal equations associated with Schrödinger operators with nonspherical radiation conditions. Zbl 0627.35023
Barles, G.
6
1987
Remarks on the Dirichlet problem for quasilinear elliptic and parabolic equations. Zbl 0928.35049
Barles, Guy; Rouy, Elisabeth; Souganidis, Panagiotis E.
6
1999
A remark on the asymptotic behavior of the solution of the KPP equation. Zbl 0807.60076
Barles, Guy; Souganidis, Panagiotis E.
6
1994
Estimation de la frontière libre des options américaines au voisinage de l’échéance. (Estimate on the free boundary of American puts near maturity). Zbl 0768.90012
Barles, Guy; Burdeau, Julien; Romano, Marc; Samsœn, Nicolas
6
1993
Existence, uniqueness, and asymptotic behavior for nonlocal parabolic problems with dominating gradient terms. Zbl 1439.35509
Barles, Guy; Topp, Erwin
6
2016
Uniqueness for first-order Hamilton-Jacobi equations and Hopf formula. Zbl 0632.35009
Barles, G.
5
1987
Regularity results for first order Hamilton-Jacobi equations. Zbl 0739.35012
Barles, G.
5
1990
Lipschitz regularity for integro-differential equations with coercive Hamiltonians and application to large time behavior. Zbl 1358.35221
Barles, Guy; Ley, Olivier; Topp, Erwin
5
2017
Sufficient structure conditions for uniqueness of viscosity solutions of semilinear and quasilinear equations. Zbl 1146.35326
Barles, Guy; Ramaswamy, Mythily
4
2005
Lipschitz regularity for censored subdiffusive integro-differential equations with superfractional gradient terms. Zbl 1335.35266
Barles, Guy; Topp, Erwin
4
2016
Bistability induced by generalist natural enemies can reverse pest invasions. Zbl 1375.35576
Madec, Sten; Casas, Jérôme; Barles, Guy; Suppo, Christelle
4
2017
Front propagation for reaction-diffusion equations arising in combustion theory. Zbl 0882.35062
Barles, G.; Georgelin, C.; Souganidis, P. E.
3
1997
Remarks on oblique reflection problems. (Remarques sur les problèmes de réflexion oblique.) Zbl 0831.60068
Barles, Guy; Lions, Pierre-Louis
3
1995
On homogenization problems for fully nonlinear equations with oscillating Dirichlet boundary conditions. Zbl 1278.35087
Barles, Guy; Mironescu, Elisabeth
3
2013
Large time behavior of unbounded solutions of first-order Hamilton-Jacobi equations in \(\mathbb R^N\). Zbl 1431.35194
Barles, Guy; Ley, Olivier; Nguyen, Thi-Tuyen; Phan, Thanh Viet
2
2019
Flux-limited and classical viscosity solutions for regional control problems. Zbl 1414.49032
Barles, G.; Briani, A.; Chasseigne, E.; Imbert, C.
2
2018
Lipschitz regularity for integro-differential equations with coercive Hamiltonians and application to large time behavior. Zbl 1358.35221
Barles, Guy; Ley, Olivier; Topp, Erwin
5
2017
Bistability induced by generalist natural enemies can reverse pest invasions. Zbl 1375.35576
Madec, Sten; Casas, Jérôme; Barles, Guy; Suppo, Christelle
4
2017
On unbounded solutions of ergodic problems in \(\mathbb{R}^m\) for viscous Hamilton-Jacobi equations. Zbl 1358.35037
Barles, Guy; Meireles, Joao
8
2016
Existence, uniqueness, and asymptotic behavior for nonlocal parabolic problems with dominating gradient terms. Zbl 1439.35509
Barles, Guy; Topp, Erwin
6
2016
Lipschitz regularity for censored subdiffusive integro-differential equations with superfractional gradient terms. Zbl 1335.35266
Barles, Guy; Topp, Erwin
4
2016
On the regularizing effect for unbounded solutions of first-order Hamilton-Jacobi equations. Zbl 1342.35065
Barles, Guy; Chasseigne, Emmanuel
1
2016
Regularity results and large time behavior for integro-differential equations with coercive Hamiltonians. Zbl 1336.35347
Barles, Guy; Koike, Shigeaki; Ley, Olivier; Topp, Erwin
13
2015
(Almost) everything you always wanted to know about deterministic control problems in stratified domains. Zbl 1346.49039
Chasseigne, Emmanuel; Barles, Guy
8
2015
Global continuation beyond singularities on the boundary for a degenerate diffusive Hamilton-Jacobi equation. Zbl 1359.35091
Attouchi, A.; Barles, G.
3
2015
Homogenization results for a deterministic multi-domains periodic control problem. Zbl 1338.49005
Barles, Guy; Briani, Ariela; Chasseigne, Emmanuel; Tchou, Nicoletta
2
2015
A Bellman approach for regional optimal control problems in \(\mathbb{R}^N\). Zbl 1297.49041
Barles, G.; Briani, A.; Chasseigne, E.
21
2014
Large time behavior of periodic viscosity solutions for uniformly parabolic integro-differential equations. Zbl 1293.35037
Barles, Guy; Chasseigne, Emmanuel; Ciomaga, Adina; Imbert, Cyril
18
2014
On Neumann type problems for nonlocal equations set in a half space. Zbl 1323.35192
Barles, Guy; Chasseigne, Emmanuel; Georgelin, Christine; Jakobsen, Espen R.
17
2014
On Neumann and oblique derivatives boundary conditions for nonlocal elliptic equations. Zbl 1285.35122
Barles, Guy; Georgelin, Christine; Jakobsen, Espen R.
14
2014
Digestion modeling in the small intestine: impact of dietary fiber. Zbl 1314.92043
Taghipoor, M.; Barles, G.; Georgelin, C.; Licois, J. R.; Lescoat, P.
1
2014
A Bellman approach for two-domains optimal control problems in \(\mathbb{R}^N\). Zbl 1287.49028
Barles, G.; Briani, A.; Chasseigne, E.
26
2013
An introduction to the theory of viscosity solutions for first-order Hamilton-Jacobi equations and applications. Zbl 1269.49043
Barles, Guy
25
2013
A new PDE approach to the large time asymptotics of solutions of Hamilton-Jacobi equations. Zbl 1284.35065
Barles, Guy; Ishii, Hitoshi; Mitake, Hiroyoshi
10
2013
On homogenization problems for fully nonlinear equations with oscillating Dirichlet boundary conditions. Zbl 1278.35087
Barles, Guy; Mironescu, Elisabeth
3
2013
Mathematical homogenization in the modelling of digestion in the small intestine. Zbl 1350.92011
Taghipoor, Masoomeh; Barles, Guy; Georgelin, Christine; Licois, Jean-René; Lescoat, Philippe
1
2013
Lipschitz regularity of solutions for mixed integro-differential equations. Zbl 1298.35033
Barles, Guy; Chasseigne, Emmanuel; Ciomaga, Adina; Imbert, Cyril
34
2012
A PDE approach to large-time asymptotics for boundary-value problems for nonconvex Hamilton-Jacobi equations. Zbl 1243.35021
Barles, Guy; Mitake, Hiroyoshi
9
2012
On the large time behavior of solutions of Hamilton-Jacobi equations associated with nonlinear boundary conditions. Zbl 1282.70037
Barles, Guy; Ishii, Hitoshi; Mitake, Hiroyoshi
8
2012
Mathematical modeling of transport and degradation of feedstuffs in the small intestine. Zbl 1397.92149
Taghipoor, Masoomeh; Lescoat, Philippe; Licois, Jean-René; Georgelin, Christine; Barles, Guy
3
2012
A singular Hamilton-Jacobi equation modeling the tail problem. Zbl 1280.35007
Mirrahimi, Sepideh; Barles, Guy; Perthame, Benoît; Souganidis, Panagiotis E.
3
2012
Short time uniqueness results for solutions of nonlocal and non-monotone geometric equations. Zbl 1246.35013
Barles, Guy; Ley, Olivier; Mitake, Hiroyoshi
1
2012
Hölder continuity of solutions of second-order non-linear elliptic integro-differential equations. Zbl 1207.35277
Barles, Guy; Chasseigne, Emmanuel; Imbert, Cyril
51
2011
Homogenization of fronts in highly heterogeneous media. Zbl 1228.35026
Barles, Guy; Cesaroni, Annalisa; Novaga, Matteo
7
2011
A short proof of the \(C^{0,\alpha }\)-regularity of viscosity subsolutions for superquadratic viscous Hamilton-Jacobi equations and applications. Zbl 1190.35081
Barles, Guy
20
2010
On the large time behavior of solutions of the Dirichlet problem for subquadratic viscous Hamilton-Jacobi equations. Zbl 1209.37069
Barles, Guy; Porretta, Alessio; Tchamba, Thierry Tabet
19
2010
Unbounded viscosity solutions of hybrid control systems. Zbl 1183.49026
Barles, Guy; Dharmatti, Sheetal; Ramaswamy, Mythily
8
2010
Convergence to steady states for radially symmetric solutions to a quasilinear degenerate diffusive Hamilton-Jacobi equation. Zbl 1211.35042
Barles, Guy; Laurençot, Philippe; Stinner, Christian
7
2010
Deterministic minimax impulse control. Zbl 1198.49025
El Farouq, Naïma; Barles, Guy; Bernhard, Pierre
7
2010
Concentration in Lotka-Volterra parabolic or integral equations: a general convergence result. Zbl 1204.35027
Barles, Guy; Mirrahimi, Sepideh; Perthame, Benoît
37
2009
Uniqueness results for nonlocal Hamilton-Jacobi equations. Zbl 1169.49028
Barles, Guy; Cardaliaguet, Pierre; Ley, Olivier; Monteillet, Aurélien
9
2009
Existence of weak solutions for general nonlocal and nonlinear second-order parabolic equations. Zbl 1166.49027
Barles, Guy; Cardaliaguet, Pierre; Ley, Olivier; Monteillet, Aurélien
7
2009
Second-order elliptic integro-differential equations: viscosity solutions’ theory revisited. Zbl 1155.45004
Barles, Guy; Imbert, Cyril
138
2008
On the Dirichlet problem for second-order elliptic integro-differential equations. Zbl 1139.47057
Barles, G.; Chasseigne, E.; Imbert, C.
66
2008
Dirac concentrations in Lotka-Volterra parabolic PDEs. Zbl 1172.35005
Perthame, Benoit; Barles, Guy
50
2008
Global existence results and uniqueness for dislocation equations. Zbl 1158.49029
Barles, Guy; Cardaliaguet, Pierre; Ley, Olivier; Monneau, Régis
17
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
Error bounds for monotone approximation schemes for parabolic Hamilton-Jacobi-Bellman equations. Zbl 1123.65096
Barles, Guy; Jakobsen, Espen R.
53
2007
Concentrations and constrained Hamilton-Jacobi equations arising in adaptive dynamics. Zbl 1137.49027
Barles, Guy; Perthame, Benoît
25
2007
Some homogenization results for non-coercive Hamilton-Jacobi equations. Zbl 1136.35004
Barles, Guy
22
2007
Uniqueness for unbounded solutions to stationary viscous Hamilton-Jacobi equations. Zbl 1150.35030
Barles, Guy; Porretta, Alessio
27
2006
Ergodic type problems and large time behaviour of unbounded solutions of Hamilton-Jacobi equations. Zbl 1107.35019
Barles, Guy; Roquejoffre, Jean-Michel
22
2006
Nonlocal first-order Hamilton-Jacobi equations modelling dislocations dynamics. Zbl 1109.35026
Barles, Guy; Ley, Olivier
16
2006
A new stability result for viscosity solutions of nonlinear parabolic equations with weak convergence in time. Zbl 1102.35014
Barles, Guy
10
2006
Local \(C^{0,\alpha }\) estimates for viscosity solutions of Neumann-type boundary value problems. Zbl 1147.35312
Barles, Guy; Da Lio, Francesca
8
2006
Error bounds for monotone approximation schemes for Hamilton-Jacobi-Bellman equations. Zbl 1092.65077
Barles, Guy; Jakobsen, Espen R.
50
2005
On the boundary ergodic problem for fully nonlinear equations in bounded domains with general nonlinear Neumann boundary conditions. Zbl 1130.35047
Barles, Guy; Da Lio, Francesca
13
2005
Sufficient structure conditions for uniqueness of viscosity solutions of semilinear and quasilinear equations. Zbl 1146.35326
Barles, Guy; Ramaswamy, Mythily
4
2005
On the generalized Dirichlet problem for viscous Hamilton–Jacobi equations. Zbl 1056.35071
Barles, Guy; Da Lio, Francesca
27
2004
Uniqueness results for quasilinear parabolic equations through viscosity solutions’ methods. Zbl 1036.35001
Barles, Guy; Biton, Samuel; Bourgoing, Mariane; Ley, Olivier
18
2003
A geometric approach to front propagation problems in bounded domains with Neumann-type boundary conditions. Zbl 1046.35059
Barles, Guy; Da Lio, Francesca
11
2003
Uniqueness for parabolic equations without growth condition and applications to the mean curvature flow in \(\mathbb R^2\). Zbl 1028.35067
Barles, Guy; Biton, Samuel; Ley, Olivier
9
2003
Remarks on the Dirichlet and state-constraint problems for quasilinear parabolic equations. Zbl 1073.35120
Barles, Guy; Da Lio, Francesca
7
2003
Large time behaviour of fronts governed by eikonal equations. Zbl 1038.35173
Barles, Guy; Roquejoffre, Jean-Michel
7
2003
On the convergence rate of approximation schemes for Hamilton-Jacobi-Bellman equations. Zbl 0998.65067
Barles, Guy; Jakobsen, Espen Robstad
71
2002
A geometrical approach to the study of unbounded solutions of quasilinear parabolic equations. Zbl 1052.35084
Barles, Guy; Biton, Samuel; Ley, Olivier
25
2002
Quelques résultats d’unicité pour l’équation du mouvement par courbure moyenne dans \(\mathbb R^n\). Zbl 1011.35082
Barles, Guy; Biton, Samuel; Ley, Olivier
1
2002
Existence and comparison results for fully nonlinear degenerate elliptic equations without Zeroth-order term. Zbl 0997.35023
Barles, G.; Busca, Jérôme
70
2001
Space-time periodic solutions and long-time behavior of solutions to quasi-linear parabolic equations. Zbl 0986.35047
Barles, G.; Souganidis, P. E.
51
2001
Commutation properties of semigroups for first-order Hamilton-Jacobi equations and application to multi-time equations. Zbl 1044.49022
Barles, Guy; Tourin, Agnès
12
2001
On the large time behavior of solutions of Hamilton-Jacobi equations. Zbl 0960.70015
Barles, G.; Souganidis, Panagiotis E.
53
2000
Some counterexamples on the asymptotic behavior of the solutions of Hamilton-Jacobi equations. Zbl 0954.35046
Barles, Guy; Souganidis, Panagiotis E.
12
2000
Nonlinear Neumann boundary conditions for quasilinear degenerate elliptic equations and applications. Zbl 0924.35051
Barles, Guy
38
1999
Remarks on the maximum principle for nonlinear elliptic PDEs with quadratic growth conditions. Zbl 0940.35078
Barles, Guy; Blanc, Alain-Philippe; Georgelin, Christine; Kobylanski, Magdalena
24
1999
Remarks on the Dirichlet problem for quasilinear elliptic and parabolic equations. Zbl 0928.35049
Barles, Guy; Rouy, Elisabeth; Souganidis, Panagiotis E.
6
1999
Option pricing with transaction costs and a nonlinear Black-Scholes equation. Zbl 0915.35051
Barles, Guy; Soner, Halil Mete
98
1998
A new approach to front propagation problems: theory and applications. Zbl 0904.35034
Barles, Guy; Souganidis, Panagiotis E.
55
1998
A strong comparison result for the Bellman equation arising in stochastic exit time control problems and its applications. Zbl 0919.35009
Barles, G.; Rouy, E.
28
1998
Backward stochastic differential equations and integral-partial differential equations. Zbl 0878.60036
Barles, Guy; Buckdahn, Rainer; Pardoux, Etienne
199
1997
Convergence of numerical schemes for degenerate parabolic equations arising in finance theory. Zbl 0898.90015
Barles, G.
52
1997
SDE, BSDE and PDE. Zbl 0886.60049
Barles, G.; Lesigne, E.
22
1997
Front propagation for reaction-diffusion equations arising in combustion theory. Zbl 0882.35062
Barles, G.; Georgelin, C.; Souganidis, P. E.
3
1997
Large deviations estimates for the exit probabilities of a diffusion process through some vanishing parts of the boundary. Zbl 1023.60502
Barles, Guy; Blanc, Alain-Philippe
2
1997
A simple proof of convergence for an approximation scheme for computing motions by mean curvature. Zbl 0831.65138
Barles, Guy; Georgelin, Christine
56
1995
Uniqueness and the maximum principle for quasilinear elliptic equations with quadratic growth conditions. Zbl 0859.35031
Barles, Guy; Murat, François
49
1995
Convergence of numerical schemes for parabolic equations arising in finance theory. Zbl 0822.65056
Barles, G.; Daher, Ch.; Romano, M.
48
1995
Critical stock price near expiration. Zbl 0866.90029
Barles, Guy; Burdeau, Julien; Romano, Marc; Samsœn, Nicolas
43
1995
The Dirichlet problem for semilinear second-order degenerate elliptic equations and applications to stochastic exit time control problems. Zbl 0826.35038
Barles, G.; Burdeau, J.
39
1995
Remarks on oblique reflection problems. (Remarques sur les problèmes de réflexion oblique.) Zbl 0831.60068
Barles, Guy; Lions, Pierre-Louis
3
1995
Viscosity solutions of Hamilton-Jacobi equations. (Solutions de viscosité des équations de Hamilton-Jacobi.) Zbl 0819.35002
Barles, Guy
251
1994
Optimal control on the \(L^ \infty\) norm of a diffusion process. Zbl 0825.93979
Barles, Guy; Daher, Christian; Romano, Marc
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.
126
1993
Fully nonlinear Neumann type boundary conditions for second-order elliptic and parabolic equations. Zbl 0786.35051
Barles, G.
40
1993
Discontinuous viscosity solutions of first-order Hamilton-Jacobi equations: A guided visit. Zbl 0816.35081
Barles, Guy
34
1993
Estimation de la frontière libre des options américaines au voisinage de l’échéance. (Estimate on the free boundary of American puts near maturity). Zbl 0768.90012
Barles, Guy; Burdeau, Julien; Romano, Marc; Samsœn, Nicolas
6
1993
Uniqueness and continuum of foliated solutions for a quasilinear elliptic equation with a non Lipschitz nonlinearity. Zbl 0820.35047
Barles, G.; Díaz, G.; Díaz, J. I.
9
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.
312
1991
A weak Bernstein method for fully non-linear elliptic equations. Zbl 0733.35014
Barles, G.
24
1991
Fully nonlinear Neumann type boundary conditions for first-order Hamilton-Jacobi equations. Zbl 0736.35023
Barles, G.; Lions, P. L.
12
1991
Interior gradient bounds for the mean curvature equation by viscosity solutions methods. Zbl 0735.35020
Barles, G.
12
1991
Wavefront propagation for reaction-diffusion systems of PDE. Zbl 0749.35015
Barles, G.; Evans, L. C.; Sougandis, P. E.
43
1990
Comparison principle for Dirichlet-type Hamilton-Jacobi equations and singular perturbations of degenerated elliptic equations. Zbl 0691.49028
Barles, G.; Perthame, B.
35
1990
...and 13 more Documents
all top 5

Cited by 2,027 Authors

53 Barles, Guy
33 Souganidis, Panagiotis E.
27 Ishii, Hitoshi
26 Monneau, Régis
23 Cardaliaguet, Pierre
23 Perthame, Benoît
23 Rossi, Julio Daniel
21 Soner, Halil Mete
19 Forsyth, Peter A.
19 Ley, Olivier
19 Mitake, Hiroyoshi
18 Giga, Yoshikazu
18 Porretta, Alessio
18 Topp, Erwin
17 Barron, Emmanuel Nicholas
17 Chasseigne, Emmanuel
17 Jakobsen, Espen Robstad
17 Lions, Pierre-Louis
16 Imbert, Cyril
16 Mirrahimi, Sepideh
16 Novaga, Matteo
15 Tran Vinh Hung
14 Bayraktar, Erhan
14 Cesaroni, Annalisa
14 Forcadel, Nicolas
14 Goreac, Dan
14 Reisinger, Christoph
14 Siconolfi, Antonio
13 Camilli, Fabio
13 Falcone, Maurizio
13 Li, Juan
13 Serea, Oana-Silvia
13 Touzi, Nizar
13 Wang, Song
12 Oberman, Adam M.
12 Picarelli, Athena
12 Quaas, Alexander
12 Zidani, Hasnaa
11 Bardi, Martino
11 Bokanowski, Olivier
11 El Hajj, Ahmad
11 Krylov, Nicolaĭ Vladimirovich
11 Liu, Qing
10 Bouchard, Bruno
10 Buckdahn, Rainer
10 Da Lio, Francesca
10 Davini, Andrea
10 Gomes, Diogo Luís Aguiar
10 Pham, Huyên
9 Chambolle, Antonin
9 Feng, Xiaobing
9 Guillen, Nestor
9 Hamadene, Saïd
9 Peral Alonso, Ireneo
9 Quincampoix, Marc
9 Wu, Zhen
9 Yan, Jun
9 Young, Virginia R.
8 Achdou, Yves
8 Carlini, Elisabetta
8 Crandall, Michael G.
8 Kim, Inwon Christina
8 Lorenzi, Tommaso
8 Manfredi, Juan J.
8 Nguyen, Vinh Duc
8 Roquejoffre, Jean-Michel
8 Schwab, Russell W.
8 Tourin, Agnès
8 Zhu, Songping
7 Caffarelli, Luis Ángel
7 Capuzzo Dolcetta, Italo
7 Cirant, Marco
7 Felmer, Patricio L.
7 Ferretti, Roberto Giorgio
7 García-Melián, Jorge
7 Ibrahim, Hassan
7 Ichihara, Naoyuki
7 Karlsen, Kenneth Hvistendahl
7 Le Guyader, Carole
7 Mou, Chenchen
7 Neilan, Michael
7 Ouknine, Youssef
7 Soravia, Pierpaolo
7 Souplet, Philippe
7 Świȩch, Andrzej
7 Tan, Xiaolu
7 Valdinoci, Enrico
7 Yoshioka, Hidekazu
7 Zhang, Jianfeng
6 Alvarez, Olivier
6 Arisawa, Mariko
6 Attouchi, Amal
6 Birindelli, Isabeau
6 Bonnans, Joseph Frédéric
6 Bouin, Emeric
6 Briani, Ariela
6 Cannarsa, Piermarco
6 Company, Rafael
6 Confortola, Fulvia
6 Demengel, Françoise
...and 1,927 more Authors
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Cited in 316 Serials

94 Journal of Differential Equations
68 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
62 Applied Mathematics and Optimization
60 Communications in Partial Differential Equations
52 Journal of Mathematical Analysis and Applications
48 Stochastic Processes and their Applications
47 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations
45 Calculus of Variations and Partial Differential Equations
44 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
43 Archive for Rational Mechanics and Analysis
43 Journal de Mathématiques Pures et Appliquées. Neuvième Série
42 NoDEA. Nonlinear Differential Equations and Applications
39 SIAM Journal on Control and Optimization
29 Discrete and Continuous Dynamical Systems
28 Transactions of the American Mathematical Society
27 Numerische Mathematik
25 Journal of Computational and Applied Mathematics
25 Comptes Rendus. Mathématique. Académie des Sciences, Paris
24 Journal of Scientific Computing
23 Computers & Mathematics with Applications
22 The Annals of Applied Probability
20 Journal of Computational Physics
20 International Journal of Theoretical and Applied Finance
19 Mathematics of Computation
19 The Annals of Probability
19 Journal of Optimization Theory and Applications
19 Finance and Stochastics
18 Journal of Functional Analysis
18 SIAM Journal on Mathematical Analysis
18 Nonlinear Analysis. Theory, Methods & Applications
17 Applied Mathematics and Computation
16 SIAM Journal on Numerical Analysis
16 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
15 Applied Numerical Mathematics
15 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
15 Mathematical Finance
15 Communications on Pure and Applied Analysis
14 Proceedings of the American Mathematical Society
14 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
14 Quantitative Finance
13 Automatica
13 SIAM Journal on Financial Mathematics
12 Acta Applicandae Mathematicae
11 Communications on Pure and Applied Mathematics
11 Journal of Mathematical Biology
11 Mathematische Annalen
11 Stochastic Analysis and Applications
10 Applied Mathematical Finance
9 Communications in Mathematical Physics
9 Journal of Economic Dynamics & Control
9 Potential Analysis
9 SIAM Journal on Scientific Computing
9 Communications in Contemporary Mathematics
9 Stochastics and Dynamics
8 Advances in Mathematics
8 Numerical Methods for Partial Differential Equations
8 Journal of Evolution Equations
8 Stochastics
7 Applicable Analysis
7 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV
7 Probability Theory and Related Fields
7 International Journal of Computer Mathematics
7 Journal of the European Mathematical Society (JEMS)
7 Dynamic Games and Applications
6 Nonlinearity
6 Annali di Matematica Pura ed Applicata. Serie Quarta
6 Systems & Control Letters
6 Insurance Mathematics & Economics
6 Mathematical Problems in Engineering
6 Interfaces and Free Boundaries
6 Nonlinear Analysis. Real World Applications
6 Mathematics and Financial Economics
5 Journal of Statistical Physics
5 Acta Mathematicae Applicatae Sinica. English Series
5 MCSS. Mathematics of Control, Signals, and Systems
5 European Journal of Applied Mathematics
5 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni
5 The Journal of Geometric Analysis
5 Journal of Global Optimization
5 Journal of Dynamics and Differential Equations
5 Bernoulli
5 European Journal of Control
5 European Series in Applied and Industrial Mathematics (ESAIM): Probability and Statistics
5 Abstract and Applied Analysis
5 Mathematical Methods of Operations Research
5 M2AN. Mathematical Modelling and Numerical Analysis. ESAIM, European Series in Applied and Industrial Mathematics
5 Discrete and Continuous Dynamical Systems. Series B
5 Journal of Systems Science and Complexity
5 Networks and Heterogeneous Media
5 Nonlinear Analysis. Hybrid Systems
5 Discrete and Continuous Dynamical Systems. Series S
5 Analysis & PDE
5 Mathematical Control and Related Fields
4 Bulletin of Mathematical Biology
4 Duke Mathematical Journal
4 Mathematische Nachrichten
4 Mathematische Zeitschrift
4 Statistics & Probability Letters
4 Physica D
4 Applied Mathematics Letters
...and 216 more Serials
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Cited in 45 Fields

1,207 Partial differential equations (35-XX)
621 Calculus of variations and optimal control; optimization (49-XX)
453 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
444 Probability theory and stochastic processes (60-XX)
375 Numerical analysis (65-XX)
297 Systems theory; control (93-XX)
105 Integral equations (45-XX)
105 Biology and other natural sciences (92-XX)
82 Operator theory (47-XX)
82 Operations research, mathematical programming (90-XX)
77 Differential geometry (53-XX)
63 Dynamical systems and ergodic theory (37-XX)
58 Ordinary differential equations (34-XX)
51 Mechanics of particles and systems (70-XX)
44 Mechanics of deformable solids (74-XX)
39 Fluid mechanics (76-XX)
39 Statistical mechanics, structure of matter (82-XX)
29 Computer science (68-XX)
23 Global analysis, analysis on manifolds (58-XX)
20 Functional analysis (46-XX)
19 Real functions (26-XX)
18 Potential theory (31-XX)
17 Information and communication theory, circuits (94-XX)
13 Difference and functional equations (39-XX)
13 Classical thermodynamics, heat transfer (80-XX)
11 Statistics (62-XX)
9 Optics, electromagnetic theory (78-XX)
8 Measure and integration (28-XX)
6 General and overarching topics; collections (00-XX)
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5 Approximations and expansions (41-XX)
5 General topology (54-XX)
5 Quantum theory (81-XX)
5 Geophysics (86-XX)
4 Harmonic analysis on Euclidean spaces (42-XX)
4 Convex and discrete geometry (52-XX)
3 Functions of a complex variable (30-XX)
3 Integral transforms, operational calculus (44-XX)
2 Several complex variables and analytic spaces (32-XX)
2 Relativity and gravitational theory (83-XX)
1 Algebraic geometry (14-XX)
1 Topological groups, Lie groups (22-XX)
1 Sequences, series, summability (40-XX)
1 Manifolds and cell complexes (57-XX)

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