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Barles, Guy

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 Author ID: barles.guy Published as: Barles, G.; Barles, Guy
 Documents Indexed: 117 Publications since 1984, including 1 Book
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Co-Authors

 21 single-authored 13 Chasseigne, Emmanuel 12 Ley, Olivier 12 Souganidis, Panagiotis E. 8 Georgelin, Christine A. 7 Perthame, Benoît 6 Briani, Ariela 6 Da Lio, Francesca 6 Imbert, Cyril 5 Jakobsen, Espen Robstad 5 Romano, Marc 4 Biton, Samuel 4 Lions, Pierre-Louis 4 Mitake, Hiroyoshi 4 Topp, Erwin 3 Burdeau, Julien 3 Cardaliaguet, Pierre 3 Daher, Christian 3 Lescoat, Philippe 3 Licois, Jean-René 3 Taghipoor, Masoomeh 2 Blanc, Alain-Philippe 2 Ciomaga, Adina 2 Ishii, Hitoshi 2 Mirrahimi, Sepideh 2 Monteillet, Aurélien 2 Porretta, Alessio 2 Ramaswamy, Mythily 2 Roquejoffre, Jean-Michel 2 Rouy, Elisabeth 2 Samsœn, Nicolas 2 Soner, Halil Mete 2 Tchou, Nicoletta Anna 1 Attouchi, Amal 1 Bernhard, Pierre 1 Bourgoing, Mariane 1 Bronsard, Lia 1 Buckdahn, Rainer 1 Busca, Jérôme 1 Casas, Jérôme 1 Cesaroni, Annalisa 1 Dharmatti, Sheetal 1 Diaz Diaz, Jesus Ildefonso 1 Diaz, Gregorio 1 El Farouq, Naïma 1 Evans, Lawrence Craig 1 Kobylanski, Magdalena 1 Koike, Shigeaki 1 Laurençot, Philippe 1 Lesigne, Emmanuel 1 Madec, Sten 1 Meireles, Joao 1 Mironescu, Elisabeth 1 Monneau, Régis 1 Murat, François 1 Nguyen, Thi Tuyen 1 Novaga, Matteo 1 Pardoux, Etienne 1 Phan, Thanh Viet 1 Sougandis, P. E. 1 Stinner, Christian 1 Suppo, Christelle 1 Tchamba, Thierry Tabet 1 Tezier, C. 1 Tourin, Agnès 1 Trélat, Emmanuel
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Serials

 9 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
all top 5

Fields

 104 Partial differential equations (35-XX) 45 Calculus of variations and optimal control; optimization (49-XX) 10 Integral equations (45-XX) 9 Differential geometry (53-XX) 9 Probability theory and stochastic processes (60-XX) 9 Mechanics of particles and systems (70-XX) 9 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 8 Biology and other natural sciences (92-XX) 7 Numerical analysis (65-XX) 5 Operator theory (47-XX) 5 Systems theory; control (93-XX) 2 Mechanics of deformable solids (74-XX) 2 Classical thermodynamics, heat transfer (80-XX) 1 Ordinary differential equations (34-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Fluid mechanics (76-XX) 1 Statistical mechanics, structure of matter (82-XX)

Citations contained in zbMATH Open

113 Publications have been cited 3,270 times in 1,961 Documents Cited by Year
Convergence of approximation schemes for fully nonlinear second order equations. Zbl 0729.65077
Barles, G.; Souganidis, P. E.
1991
Viscosity solutions of Hamilton-Jacobi equations. Zbl 0819.35002
Barles, Guy
1994
Backward stochastic differential equations and integral-partial differential equations. Zbl 0878.60036
Barles, Guy; Buckdahn, Rainer; Pardoux, Etienne
1997
Second-order elliptic integro-differential equations: viscosity solutions’ theory revisited. Zbl 1155.45004
Barles, Guy; Imbert, Cyril
2008
Front propagation and phase field theory. Zbl 0785.35049
Barles, G.; Soner, H. M.; Souganidis, P. E.
1993
Option pricing with transaction costs and a nonlinear Black-Scholes equation. Zbl 0915.35051
Barles, Guy; Soner, Halil Mete
1998
Exit time problems in optimal control and vanishing viscosity method. Zbl 0674.49027
Barles, G.; Perthame, B.
1988
Discontinuous solutions of deterministic optimal stopping time problems. Zbl 0629.49017
Barles, G.; Perthame, B.
1987
On the convergence rate of approximation schemes for Hamilton-Jacobi-Bellman equations. Zbl 0998.65067
2002
Existence and comparison results for fully nonlinear degenerate elliptic equations without Zeroth-order term. Zbl 0997.35023
Barles, G.; Busca, Jérôme
2001
On the Dirichlet problem for second-order elliptic integro-differential equations. Zbl 1139.47057
Barles, G.; Chasseigne, E.; Imbert, C.
2008
A new approach to front propagation problems: theory and applications. Zbl 0904.35034
Barles, Guy; Souganidis, Panagiotis E.
1998
A simple proof of convergence for an approximation scheme for computing motions by mean curvature. Zbl 0831.65138
Barles, Guy; Georgelin, Christine
1995
On the large time behavior of solutions of Hamilton-Jacobi equations. Zbl 0960.70015
Barles, G.; Souganidis, Panagiotis E.
2000
Convergence of numerical schemes for degenerate parabolic equations arising in finance theory. Zbl 0898.90015
Barles, G.
1997
Hölder continuity of solutions of second-order non-linear elliptic integro-differential equations. Zbl 1207.35277
Barles, Guy; Chasseigne, Emmanuel; Imbert, Cyril
2011
Error bounds for monotone approximation schemes for parabolic Hamilton-Jacobi-Bellman equations. Zbl 1123.65096
Barles, Guy; Jakobsen, Espen R.
2007
Space-time periodic solutions and long-time behavior of solutions to quasi-linear parabolic equations. Zbl 0986.35047
Barles, G.; Souganidis, P. E.
2001
Uniqueness and the maximum principle for quasilinear elliptic equations with quadratic growth conditions. Zbl 0859.35031
Barles, Guy; Murat, François
1995
Convergence of numerical schemes for parabolic equations arising in finance theory. Zbl 0822.65056
Barles, G.; Daher, Ch.; Romano, M.
1995
Dirac concentrations in Lotka-Volterra parabolic PDEs. Zbl 1172.35005
Perthame, Benoit; Barles, Guy
2008
Error bounds for monotone approximation schemes for Hamilton-Jacobi-Bellman equations. Zbl 1092.65077
Barles, Guy; Jakobsen, Espen R.
2005
Critical stock price near expiration. Zbl 0866.90029
Barles, Guy; Burdeau, Julien; Romano, Marc; Samsœn, Nicolas
1995
Wavefront propagation for reaction-diffusion systems of PDE. Zbl 0749.35015
Barles, G.; Evans, L. C.; Sougandis, P. E.
1990
Fully nonlinear Neumann type boundary conditions for second-order elliptic and parabolic equations. Zbl 0786.35051
Barles, G.
1993
Nonlinear Neumann boundary conditions for quasilinear degenerate elliptic equations and applications. Zbl 0924.35051
Barles, Guy
1999
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.
1995
Concentration in Lotka-Volterra parabolic or integral equations: a general convergence result. Zbl 1204.35027
Barles, Guy; Mirrahimi, Sepideh; Perthame, Benoît
2009
Comparison principle for Dirichlet-type Hamilton-Jacobi equations and singular perturbations of degenerated elliptic equations. Zbl 0691.49028
Barles, G.; Perthame, B.
1990
Discontinuous viscosity solutions of first-order Hamilton-Jacobi equations: A guided visit. Zbl 0816.35081
Barles, Guy
1993
Deterministic impulse control problems. Zbl 0571.49020
Barles, G.
1985
Lipschitz regularity of solutions for mixed integro-differential equations. Zbl 1298.35033
Barles, Guy; Chasseigne, Emmanuel; Ciomaga, Adina; Imbert, Cyril
2012
Uniqueness for unbounded solutions to stationary viscous Hamilton-Jacobi equations. Zbl 1150.35030
Barles, Guy; Porretta, Alessio
2006
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.
1998
A Bellman approach for two-domains optimal control problems in $$\mathbb{R}^N$$. Zbl 1287.49028
Barles, G.; Briani, A.; Chasseigne, E.
2013
Remarks on uniqueness results of the first eigenvalue of the p-Laplacian. Zbl 0621.35068
Barles, G.
1988
On the generalized Dirichlet problem for viscous Hamilton–Jacobi equations. Zbl 1056.35071
Barles, Guy; Da Lio, Francesca
2004
A geometrical approach to the study of unbounded solutions of quasilinear parabolic equations. Zbl 1052.35084
Barles, Guy; Biton, Samuel; Ley, Olivier
2002
An introduction to the theory of viscosity solutions for first-order Hamilton-Jacobi equations and applications. Zbl 1269.49043
Barles, Guy
2013
Concentrations and constrained Hamilton-Jacobi equations arising in adaptive dynamics. Zbl 1137.49027
Barles, Guy; Perthame, Benoît
2007
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
1999
A weak Bernstein method for fully non-linear elliptic equations. Zbl 0733.35014
Barles, G.
1991
SDE, BSDE and PDE. Zbl 0886.60049
Barles, G.; Lesigne, E.
1997
Some homogenization results for non-coercive Hamilton-Jacobi equations. Zbl 1136.35004
Barles, Guy
2007
A Bellman approach for regional optimal control problems in $$\mathbb{R}^N$$. Zbl 1297.49041
Barles, G.; Briani, A.; Chasseigne, E.
2014
Ergodic type problems and large time behaviour of unbounded solutions of Hamilton-Jacobi equations. Zbl 1107.35019
Barles, Guy; Roquejoffre, Jean-Michel
2006
Existence results for first order Hamilton Jacobi equations. Zbl 0574.70019
Barles, G.
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
2010
On Neumann type problems for nonlocal equations set in a half space. Zbl 1323.35192
Barles, Guy; Chasseigne, Emmanuel; Georgelin, Christine; Jakobsen, Espen R.
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
2014
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
2010
Global existence results and uniqueness for dislocation equations. Zbl 1158.49029
Barles, Guy; Cardaliaguet, Pierre; Ley, Olivier; Monneau, Régis
2008
Uniqueness results for quasilinear parabolic equations through viscosity solutions’ methods. Zbl 1036.35001
Barles, Guy; Biton, Samuel; Bourgoing, Mariane; Ley, Olivier
2003
Nonlocal first-order Hamilton-Jacobi equations modelling dislocations dynamics. Zbl 1109.35026
Barles, Guy; Ley, Olivier
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.
2008
Regularity results and large time behavior for integro-differential equations with coercive Hamiltonians. Zbl 1336.35347
Barles, Guy; Koike, Shigeaki; Ley, Olivier; Topp, Erwin
2015
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
2005
Uniqueness and regularity results for first-order Hamilton-Jacobi equations. Zbl 0709.35024
Barles, G.
1990
On Neumann and oblique derivatives boundary conditions for nonlocal elliptic equations. Zbl 1285.35122
Barles, Guy; Georgelin, Christine; Jakobsen, Espen R.
2014
Commutation properties of semigroups for first-order Hamilton-Jacobi equations and application to multi-time equations. Zbl 1044.49022
Barles, Guy; Tourin, Agnès
2001
Some counterexamples on the asymptotic behavior of the solutions of Hamilton-Jacobi equations. Zbl 0954.35046
Barles, Guy; Souganidis, Panagiotis E.
2000
Optimal control on the $$L^ \infty$$ norm of a diffusion process. Zbl 0825.93979
Barles, Guy; Daher, Christian; Romano, Marc
1994
Interior gradient bounds for the mean curvature equation by viscosity solutions methods. Zbl 0735.35020
Barles, G.
1991
Fully nonlinear Neumann type boundary conditions for first-order Hamilton-Jacobi equations. Zbl 0736.35023
Barles, G.; Lions, P. L.
1991
Remarques sur des résultats d’existence pour les équations de Hamilton-Jacobi du premier ordre. Zbl 0573.35010
Barles, G.
1985
A new PDE approach to the large time asymptotics of solutions of Hamilton-Jacobi equations. Zbl 1284.35065
Barles, Guy; Ishii, Hitoshi; Mitake, Hiroyoshi
2013
A new stability result for viscosity solutions of nonlinear parabolic equations with weak convergence in time. Zbl 1102.35014
Barles, Guy
2006
A geometric approach to front propagation problems in bounded domains with Neumann-type boundary conditions. Zbl 1046.35059
Barles, Guy; Da Lio, Francesca
2003
An approach of deterministic control problems with unbounded data. Zbl 0717.49021
Barles, G.
1990
A PDE approach to large-time asymptotics for boundary-value problems for nonconvex Hamilton-Jacobi equations. Zbl 1243.35021
Barles, Guy; Mitake, Hiroyoshi
2012
Uniqueness results for nonlocal Hamilton-Jacobi equations. Zbl 1169.49028
Barles, Guy; Cardaliaguet, Pierre; Ley, Olivier; Monteillet, Aurélien
2009
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.
1992
(Almost) everything you always wanted to know about deterministic control problems in stratified domains. Zbl 1346.49039
Chasseigne, Emmanuel; Barles, Guy
2015
Unbounded viscosity solutions of hybrid control systems. Zbl 1183.49026
Barles, Guy; Dharmatti, Sheetal; Ramaswamy, Mythily
2010
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
2003
Front propagation for reaction-diffusion equations of bistable type. Zbl 0794.35076
Barles, G.; Bronsard, L.; Souganidis, P. E.
1992
On unbounded solutions of ergodic problems in $$\mathbb{R}^m$$ for viscous Hamilton-Jacobi equations. Zbl 1358.35037
Barles, Guy; Meireles, Joao
2016
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
2012
Homogenization of fronts in highly heterogeneous media. Zbl 1228.35026
Barles, Guy; Cesaroni, Annalisa; Novaga, Matteo
2011
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
2010
Existence of weak solutions for general nonlocal and nonlinear second-order parabolic equations. Zbl 1166.49027
Barles, Guy; Cardaliaguet, Pierre; Ley, Olivier; Monteillet, Aurélien
2009
Local $$C^{0,\alpha }$$ estimates for viscosity solutions of Neumann-type boundary value problems. Zbl 1147.35312
Barles, Guy; Da Lio, Francesca
2006
Large time behaviour of fronts governed by eikonal equations. Zbl 1038.35173
Barles, Guy; Roquejoffre, Jean-Michel
2003
Remarks on the Dirichlet problem for quasilinear elliptic and parabolic equations. Zbl 0928.35049
Barles, Guy; Rouy, Elisabeth; Souganidis, Panagiotis E.
1999
Asymptotic behavior of viscosity solutions of first order Hamilton-Jacobi equations. Zbl 0637.49014
Barles, G.
1985
Existence, uniqueness, and asymptotic behavior for nonlocal parabolic problems with dominating gradient terms. Zbl 1439.35509
Barles, Guy; Topp, Erwin
2016
Deterministic minimax impulse control. Zbl 1198.49025
El Farouq, Naïma; Barles, Guy; Bernhard, Pierre
2010
Remarks on the Dirichlet and state-constraint problems for quasilinear parabolic equations. Zbl 1073.35120
Barles, Guy; Da Lio, Francesca
2003
A remark on the asymptotic behavior of the solution of the KPP equation. Zbl 0807.60076
Barles, Guy; Souganidis, Panagiotis E.
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
1993
On Eikonal equations associated with Schrödinger operators with nonspherical radiation conditions. Zbl 0627.35023
Barles, G.
1987
Lipschitz regularity for integro-differential equations with coercive Hamiltonians and application to large time behavior. Zbl 1358.35221
Barles, Guy; Ley, Olivier; Topp, Erwin
2017
Sufficient structure conditions for uniqueness of viscosity solutions of semilinear and quasilinear equations. Zbl 1146.35326
Barles, Guy; Ramaswamy, Mythily
2005
Regularity results for first order Hamilton-Jacobi equations. Zbl 0739.35012
Barles, G.
1990
Uniqueness for first-order Hamilton-Jacobi equations and Hopf formula. Zbl 0632.35009
Barles, G.
1987
Lipschitz regularity for censored subdiffusive integro-differential equations with superfractional gradient terms. Zbl 1335.35266
Barles, Guy; Topp, Erwin
2016
On homogenization problems for fully nonlinear equations with oscillating Dirichlet boundary conditions. Zbl 1278.35087
Barles, Guy; Mironescu, Elisabeth
2013
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
2012
A singular Hamilton-Jacobi equation modeling the tail problem. Zbl 1280.35007
Mirrahimi, Sepideh; Barles, Guy; Perthame, Benoît; Souganidis, Panagiotis E.
2012
Front propagation for reaction-diffusion equations arising in combustion theory. Zbl 0882.35062
Barles, G.; Georgelin, C.; Souganidis, P. E.
1997
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
2019
Flux-limited and classical viscosity solutions for regional control problems. Zbl 1414.49032
Barles, G.; Briani, A.; Chasseigne, E.; Imbert, C.
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
2017
Bistability induced by generalist natural enemies can reverse pest invasions. Zbl 1375.35576
Madec, Sten; Casas, Jérôme; Barles, Guy; Suppo, Christelle
2017
On unbounded solutions of ergodic problems in $$\mathbb{R}^m$$ for viscous Hamilton-Jacobi equations. Zbl 1358.35037
Barles, Guy; Meireles, Joao
2016
Existence, uniqueness, and asymptotic behavior for nonlocal parabolic problems with dominating gradient terms. Zbl 1439.35509
Barles, Guy; Topp, Erwin
2016
Lipschitz regularity for censored subdiffusive integro-differential equations with superfractional gradient terms. Zbl 1335.35266
Barles, Guy; Topp, Erwin
2016
On the regularizing effect for unbounded solutions of first-order Hamilton-Jacobi equations. Zbl 1342.35065
Barles, Guy; Chasseigne, Emmanuel
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
2015
(Almost) everything you always wanted to know about deterministic control problems in stratified domains. Zbl 1346.49039
Chasseigne, Emmanuel; Barles, Guy
2015
Homogenization results for a deterministic multi-domains periodic control problem. Zbl 1338.49005
Barles, Guy; Briani, Ariela; Chasseigne, Emmanuel; Tchou, Nicoletta
2015
Global continuation beyond singularities on the boundary for a degenerate diffusive Hamilton-Jacobi equation. Zbl 1359.35091
Attouchi, A.; Barles, G.
2015
A Bellman approach for regional optimal control problems in $$\mathbb{R}^N$$. Zbl 1297.49041
Barles, G.; Briani, A.; Chasseigne, E.
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.
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
2014
On Neumann and oblique derivatives boundary conditions for nonlocal elliptic equations. Zbl 1285.35122
Barles, Guy; Georgelin, Christine; Jakobsen, Espen R.
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.
2014
A Bellman approach for two-domains optimal control problems in $$\mathbb{R}^N$$. Zbl 1287.49028
Barles, G.; Briani, A.; Chasseigne, E.
2013
An introduction to the theory of viscosity solutions for first-order Hamilton-Jacobi equations and applications. Zbl 1269.49043
Barles, Guy
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
2013
On homogenization problems for fully nonlinear equations with oscillating Dirichlet boundary conditions. Zbl 1278.35087
Barles, Guy; Mironescu, Elisabeth
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
2013
Lipschitz regularity of solutions for mixed integro-differential equations. Zbl 1298.35033
Barles, Guy; Chasseigne, Emmanuel; Ciomaga, Adina; Imbert, Cyril
2012
A PDE approach to large-time asymptotics for boundary-value problems for nonconvex Hamilton-Jacobi equations. Zbl 1243.35021
Barles, Guy; Mitake, Hiroyoshi
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
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
2012
A singular Hamilton-Jacobi equation modeling the tail problem. Zbl 1280.35007
Mirrahimi, Sepideh; Barles, Guy; Perthame, Benoît; Souganidis, Panagiotis E.
2012
Short time uniqueness results for solutions of nonlocal and non-monotone geometric equations. Zbl 1246.35013
Barles, Guy; Ley, Olivier; Mitake, Hiroyoshi
2012
Hölder continuity of solutions of second-order non-linear elliptic integro-differential equations. Zbl 1207.35277
Barles, Guy; Chasseigne, Emmanuel; Imbert, Cyril
2011
Homogenization of fronts in highly heterogeneous media. Zbl 1228.35026
Barles, Guy; Cesaroni, Annalisa; Novaga, Matteo
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
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
2010
Unbounded viscosity solutions of hybrid control systems. Zbl 1183.49026
Barles, Guy; Dharmatti, Sheetal; Ramaswamy, Mythily
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
2010
Deterministic minimax impulse control. Zbl 1198.49025
El Farouq, Naïma; Barles, Guy; Bernhard, Pierre
2010
Concentration in Lotka-Volterra parabolic or integral equations: a general convergence result. Zbl 1204.35027
Barles, Guy; Mirrahimi, Sepideh; Perthame, Benoît
2009
Uniqueness results for nonlocal Hamilton-Jacobi equations. Zbl 1169.49028
Barles, Guy; Cardaliaguet, Pierre; Ley, Olivier; Monteillet, Aurélien
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
2009
Second-order elliptic integro-differential equations: viscosity solutions’ theory revisited. Zbl 1155.45004
Barles, Guy; Imbert, Cyril
2008
On the Dirichlet problem for second-order elliptic integro-differential equations. Zbl 1139.47057
Barles, G.; Chasseigne, E.; Imbert, C.
2008
Dirac concentrations in Lotka-Volterra parabolic PDEs. Zbl 1172.35005
Perthame, Benoit; Barles, Guy
2008
Global existence results and uniqueness for dislocation equations. Zbl 1158.49029
Barles, Guy; Cardaliaguet, Pierre; Ley, Olivier; Monneau, Régis
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.
2008
Error bounds for monotone approximation schemes for parabolic Hamilton-Jacobi-Bellman equations. Zbl 1123.65096
Barles, Guy; Jakobsen, Espen R.
2007
Concentrations and constrained Hamilton-Jacobi equations arising in adaptive dynamics. Zbl 1137.49027
Barles, Guy; Perthame, Benoît
2007
Some homogenization results for non-coercive Hamilton-Jacobi equations. Zbl 1136.35004
Barles, Guy
2007
Uniqueness for unbounded solutions to stationary viscous Hamilton-Jacobi equations. Zbl 1150.35030
Barles, Guy; Porretta, Alessio
2006
Ergodic type problems and large time behaviour of unbounded solutions of Hamilton-Jacobi equations. Zbl 1107.35019
Barles, Guy; Roquejoffre, Jean-Michel
2006
Nonlocal first-order Hamilton-Jacobi equations modelling dislocations dynamics. Zbl 1109.35026
Barles, Guy; Ley, Olivier
2006
A new stability result for viscosity solutions of nonlinear parabolic equations with weak convergence in time. Zbl 1102.35014
Barles, Guy
2006
Local $$C^{0,\alpha }$$ estimates for viscosity solutions of Neumann-type boundary value problems. Zbl 1147.35312
Barles, Guy; Da Lio, Francesca
2006
Error bounds for monotone approximation schemes for Hamilton-Jacobi-Bellman equations. Zbl 1092.65077
Barles, Guy; Jakobsen, Espen R.
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
2005
Sufficient structure conditions for uniqueness of viscosity solutions of semilinear and quasilinear equations. Zbl 1146.35326
Barles, Guy; Ramaswamy, Mythily
2005
On the generalized Dirichlet problem for viscous Hamilton–Jacobi equations. Zbl 1056.35071
Barles, Guy; Da Lio, Francesca
2004
Uniqueness results for quasilinear parabolic equations through viscosity solutions’ methods. Zbl 1036.35001
Barles, Guy; Biton, Samuel; Bourgoing, Mariane; Ley, Olivier
2003
A geometric approach to front propagation problems in bounded domains with Neumann-type boundary conditions. Zbl 1046.35059
Barles, Guy; Da Lio, Francesca
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
2003
Large time behaviour of fronts governed by eikonal equations. Zbl 1038.35173
Barles, Guy; Roquejoffre, Jean-Michel
2003
Remarks on the Dirichlet and state-constraint problems for quasilinear parabolic equations. Zbl 1073.35120
Barles, Guy; Da Lio, Francesca
2003
On the convergence rate of approximation schemes for Hamilton-Jacobi-Bellman equations. Zbl 0998.65067
2002
A geometrical approach to the study of unbounded solutions of quasilinear parabolic equations. Zbl 1052.35084
Barles, Guy; Biton, Samuel; Ley, Olivier
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
2002
Existence and comparison results for fully nonlinear degenerate elliptic equations without Zeroth-order term. Zbl 0997.35023
Barles, G.; Busca, Jérôme
2001
Space-time periodic solutions and long-time behavior of solutions to quasi-linear parabolic equations. Zbl 0986.35047
Barles, G.; Souganidis, P. E.
2001
Commutation properties of semigroups for first-order Hamilton-Jacobi equations and application to multi-time equations. Zbl 1044.49022
Barles, Guy; Tourin, Agnès
2001
On the large time behavior of solutions of Hamilton-Jacobi equations. Zbl 0960.70015
Barles, G.; Souganidis, Panagiotis E.
2000
Some counterexamples on the asymptotic behavior of the solutions of Hamilton-Jacobi equations. Zbl 0954.35046
Barles, Guy; Souganidis, Panagiotis E.
2000
Nonlinear Neumann boundary conditions for quasilinear degenerate elliptic equations and applications. Zbl 0924.35051
Barles, Guy
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
1999
Remarks on the Dirichlet problem for quasilinear elliptic and parabolic equations. Zbl 0928.35049
Barles, Guy; Rouy, Elisabeth; Souganidis, Panagiotis E.
1999
Option pricing with transaction costs and a nonlinear Black-Scholes equation. Zbl 0915.35051
Barles, Guy; Soner, Halil Mete
1998
A new approach to front propagation problems: theory and applications. Zbl 0904.35034
Barles, Guy; Souganidis, Panagiotis E.
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.
1998
Backward stochastic differential equations and integral-partial differential equations. Zbl 0878.60036
Barles, Guy; Buckdahn, Rainer; Pardoux, Etienne
1997
Convergence of numerical schemes for degenerate parabolic equations arising in finance theory. Zbl 0898.90015
Barles, G.
1997
SDE, BSDE and PDE. Zbl 0886.60049
Barles, G.; Lesigne, E.
1997
Front propagation for reaction-diffusion equations arising in combustion theory. Zbl 0882.35062
Barles, G.; Georgelin, C.; Souganidis, P. E.
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
1997
A simple proof of convergence for an approximation scheme for computing motions by mean curvature. Zbl 0831.65138
Barles, Guy; Georgelin, Christine
1995
Uniqueness and the maximum principle for quasilinear elliptic equations with quadratic growth conditions. Zbl 0859.35031
Barles, Guy; Murat, François
1995
Convergence of numerical schemes for parabolic equations arising in finance theory. Zbl 0822.65056
Barles, G.; Daher, Ch.; Romano, M.
1995
Critical stock price near expiration. Zbl 0866.90029
Barles, Guy; Burdeau, Julien; Romano, Marc; Samsœn, Nicolas
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.
1995
Remarks on oblique reflection problems. Zbl 0831.60068
Barles, Guy; Lions, Pierre-Louis
1995
Viscosity solutions of Hamilton-Jacobi equations. Zbl 0819.35002
Barles, Guy
1994
Optimal control on the $$L^ \infty$$ norm of a diffusion process. Zbl 0825.93979
Barles, Guy; Daher, Christian; Romano, Marc
1994
A remark on the asymptotic behavior of the solution of the KPP equation. Zbl 0807.60076
Barles, Guy; Souganidis, Panagiotis E.
1994
Front propagation and phase field theory. Zbl 0785.35049
Barles, G.; Soner, H. M.; Souganidis, P. E.
1993
Fully nonlinear Neumann type boundary conditions for second-order elliptic and parabolic equations. Zbl 0786.35051
Barles, G.
1993
Discontinuous viscosity solutions of first-order Hamilton-Jacobi equations: A guided visit. Zbl 0816.35081
Barles, Guy
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
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.
1992
Front propagation for reaction-diffusion equations of bistable type. Zbl 0794.35076
Barles, G.; Bronsard, L.; Souganidis, P. E.
1992
Convergence of approximation schemes for fully nonlinear second order equations. Zbl 0729.65077
Barles, G.; Souganidis, P. E.
1991
A weak Bernstein method for fully non-linear elliptic equations. Zbl 0733.35014
Barles, G.
1991
Interior gradient bounds for the mean curvature equation by viscosity solutions methods. Zbl 0735.35020
Barles, G.
1991
Fully nonlinear Neumann type boundary conditions for first-order Hamilton-Jacobi equations. Zbl 0736.35023
Barles, G.; Lions, P. L.
1991
Wavefront propagation for reaction-diffusion systems of PDE. Zbl 0749.35015
Barles, G.; Evans, L. C.; Sougandis, P. E.
1990
Comparison principle for Dirichlet-type Hamilton-Jacobi equations and singular perturbations of degenerated elliptic equations. Zbl 0691.49028
Barles, G.; Perthame, B.
1990
...and 13 more Documents
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Cited by 2,060 Authors

 52 Barles, Guy 33 Souganidis, Panagiotis E. 28 Ishii, Hitoshi 26 Monneau, Régis 23 Cardaliaguet, Pierre 23 Perthame, Benoît 23 Rossi, Julio Daniel 21 Soner, Halil Mete 20 Ley, Olivier 19 Forsyth, Peter A. 19 Mitake, Hiroyoshi 18 Giga, Yoshikazu 18 Porretta, Alessio 17 Chasseigne, Emmanuel 17 Lions, Pierre-Louis 17 Topp, Erwin 16 Barron, Emmanuel Nicholas 16 Imbert, Cyril 16 Jakobsen, Espen Robstad 16 Mirrahimi, Sepideh 16 Novaga, Matteo 15 Tran Vinh Hung 14 Bayraktar, Erhan 14 Forcadel, Nicolas 14 Goreac, Dan 14 Serea, Oana-Silvia 14 Siconolfi, Antonio 13 Camilli, Fabio 13 Cesaroni, Annalisa 13 Falcone, Maurizio 13 Li, Juan 13 Touzi, Nizar 13 Wang, Song 12 Oberman, Adam M. 12 Zidani, Hasnaa 11 Bardi, Martino 11 Krylov, Nicolaĭ Vladimirovich 11 Liu, Qing 11 Picarelli, Athena 11 Quaas, Alexander 11 Reisinger, Christoph 10 Bokanowski, Olivier 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 El Hajj, Ahmad 9 Feng, Xiaobing 9 Guillen, Nestor 9 Hamadene, Saïd 9 Peral Alonso, Ireneo 9 Quincampoix, Marc 9 Young, Virginia R. 8 Achdou, Yves 8 Carlini, Elisabetta 8 Crandall, Michael G. 8 El Otmani, Mohamed 8 Kim, Inwon Christina 8 Nguyen, Vinh Duc 8 Roquejoffre, Jean-Michel 8 Schwab, Russell W. 8 Tourin, Agnès 8 Wu, Zhen 8 Yan, Jun 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 Karlsen, Kenneth Hvistendahl 7 Koike, Shigeaki 7 Le Guyader, Carole 7 Lorenzi, Tommaso 7 Manfredi, Juan J. 7 Mou, Chenchen 7 Neilan, Michael 7 Ouknine, Youssef 7 Silvestre, Luis E. 7 Soravia, Pierpaolo 7 Souplet, Philippe 7 Sulem, Agnès 7 Świȩch, Andrzej 7 Tsai, Yen-Hsi Richard 7 Zhang, Jianfeng 6 Alvarez, Olivier 6 Arisawa, Mariko 6 Attouchi, Amal 6 Benamou, Jean-David 6 Birindelli, Isabeau 6 Bouin, Emeric 6 Briani, Ariela 6 Company, Rafael 6 Confortola, Fulvia 6 Demengel, Françoise ...and 1,960 more Authors
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Cited in 311 Serials

 91 Journal of Differential Equations 69 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 59 Communications in Partial Differential Equations 55 Applied Mathematics and Optimization 53 Journal of Mathematical Analysis and Applications 51 Stochastic Processes and their Applications 46 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 45 Calculus of Variations and Partial Differential Equations 45 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 44 Journal de Mathématiques Pures et Appliquées. Neuvième Série 42 Archive for Rational Mechanics and Analysis 41 NoDEA. Nonlinear Differential Equations and Applications 36 SIAM Journal on Control and Optimization 28 Transactions of the American Mathematical Society 28 Discrete and Continuous Dynamical Systems 28 Comptes Rendus. Mathématique. Académie des Sciences, Paris 26 Journal of Computational and Applied Mathematics 25 Numerische Mathematik 23 Journal of Scientific Computing 22 Computers & Mathematics with Applications 22 Journal of Computational Physics 22 The Annals of Applied Probability 21 Journal of Functional Analysis 20 International Journal of Theoretical and Applied Finance 19 Mathematics of Computation 19 The Annals of Probability 19 Finance and Stochastics 18 Journal of Optimization Theory and Applications 18 Nonlinear Analysis. Theory, Methods & Applications 17 Applied Mathematics and Computation 17 SIAM Journal on Mathematical Analysis 16 SIAM Journal on 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 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 13 Automatica 13 Proceedings of the American Mathematical Society 13 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 13 SIAM Journal on Financial Mathematics 12 Quantitative Finance 11 Communications on Pure and Applied Mathematics 11 Mathematische Annalen 11 Stochastic Analysis and Applications 11 Acta Applicandae Mathematicae 10 Journal of Mathematical Biology 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 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 Nonlinear Analysis. Real World Applications 7 Dynamic Games and Applications 6 Applicable Analysis 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 Mathematics and Financial Economics 5 Journal of Statistical Physics 5 Nonlinearity 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 Journal of Global Optimization 5 Journal of Dynamics and Differential Equations 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 Analysis & PDE 5 Mathematical Control and Related Fields 4 Duke Mathematical Journal 4 Mathematische Nachrichten 4 Mathematische Zeitschrift 4 Statistics & Probability Letters 4 Physica D 4 Applied Mathematics Letters 4 Mathematical and Computer Modelling 4 Japan Journal of Industrial and Applied Mathematics 4 The Journal of Geometric Analysis 4 Numerical Algorithms ...and 211 more Serials
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Cited in 45 Fields

 1,185 Partial differential equations (35-XX) 614 Calculus of variations and optimal control; optimization (49-XX) 438 Probability theory and stochastic processes (60-XX) 438 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 365 Numerical analysis (65-XX) 287 Systems theory; control (93-XX) 102 Integral equations (45-XX) 99 Biology and other natural sciences (92-XX) 83 Operator theory (47-XX) 77 Operations research, mathematical programming (90-XX) 73 Differential geometry (53-XX) 63 Dynamical systems and ergodic theory (37-XX) 60 Ordinary differential equations (34-XX) 52 Mechanics of particles and systems (70-XX) 45 Mechanics of deformable solids (74-XX) 39 Statistical mechanics, structure of matter (82-XX) 37 Fluid mechanics (76-XX) 27 Computer science (68-XX) 21 Functional analysis (46-XX) 21 Global analysis, analysis on manifolds (58-XX) 20 Real functions (26-XX) 18 Potential theory (31-XX) 17 Information and communication theory, circuits (94-XX) 13 Classical thermodynamics, heat transfer (80-XX) 12 Difference and functional equations (39-XX) 12 Optics, electromagnetic theory (78-XX) 9 Statistics (62-XX) 7 Measure and integration (28-XX) 5 Combinatorics (05-XX) 5 Linear and multilinear algebra; matrix theory (15-XX) 5 Approximations and expansions (41-XX) 5 General topology (54-XX) 5 Quantum theory (81-XX) 4 General and overarching topics; collections (00-XX) 4 Harmonic analysis on Euclidean spaces (42-XX) 4 Convex and discrete geometry (52-XX) 4 Geophysics (86-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)