Edit Profile (opens in new tab) Alvarez, Olivier Co-Author Distance Author ID: alvarez.olivier Published as: Alvarez, Olivier; Alvarez, O. Documents Indexed: 22 Publications since 1994, including 1 Book Co-Authors: 11 Co-Authors with 13 Joint Publications 249 Co-Co-Authors all top 5 Co-Authors 4 single-authored 6 Bardi, Martino 5 Monneau, Régis 3 Barron, Emmanuel Nicholas 2 Carlini, Elisabetta 2 Hoch, Philippe 2 Ishii, Hitoshi 2 Le Bouar, Yann 2 Marchi, Claudio 2 Rouy, Elisabeth 1 Cardaliaguet, Pierre 1 Koike, Shigeaki 1 Lasry, Jean-Michel 1 Lions, Pierre-Louis 1 Nakayama, Isao 1 Tourin, Agnès all top 5 Serials 3 Journal of Differential Equations 2 Archive for Rational Mechanics and Analysis 2 SIAM Journal on Control and Optimization 2 Communications in Partial Differential Equations 1 Indiana University Mathematics Journal 1 Memoirs of the American Mathematical Society 1 Numerische Mathematik 1 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 1 Applied Numerical Mathematics 1 Differential and Integral Equations 1 Journal de Mathématiques Pures et Appliquées. Neuvième Série 1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 1 Set-Valued Analysis 1 Interfaces and Free Boundaries 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris all top 5 Fields 16 Partial differential equations (35-XX) 13 Calculus of variations and optimal control; optimization (49-XX) 3 Mechanics of deformable solids (74-XX) 3 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 3 Systems theory; control (93-XX) 2 Probability theory and stochastic processes (60-XX) 2 Numerical analysis (65-XX) 1 Ordinary differential equations (34-XX) 1 Integral equations (45-XX) 1 Statistical mechanics, structure of matter (82-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 22 Publications have been cited 353 times in 234 Documents Cited by ▼ Year ▼ Convex viscosity solutions and state constraints. Zbl 0890.49013 Alvarez, O.; Lasry, J.-M.; Lions, P.-L. 93 1997 Viscosity solutions of nonlinear integro-differential equations. Zbl 0870.45002 Alvarez, Olivier; Tourin, Agnès 70 1996 Ergodicity, stabilization, and singular perturbations for Bellman-Isaacs equations. Zbl 1209.35001 Alvarez, Olivier; Bardi, Martino 52 2010 Singular perturbations of nonlinear degenerate parabolic pDEs: A general convergence result. Zbl 1032.35103 Alvarez, Olivier; Bardi, Martino 46 2003 Viscosity solutions methods for singular perturbations in deterministic and stochastic control. Zbl 1017.49028 Alvarez, Olivier; Bardi, Martino 38 2001 Dislocation dynamics: Short-time existence and uniqueness of the solution. Zbl 1158.74335 Alvarez, Olivier; Hoch, Philippe; Bouar, Yann Le; Monneau, Régis 31 2006 Existence and uniqueness for dislocation dynamics with nonnegative velocity. Zbl 1099.35148 Alvarez, O.; Cardaliaguet, P.; Monneau, R. 29 2005 Hopf-Lax formulas for semicontinuous data. Zbl 0939.35045 Alvarez, O.; Barron, E. N.; Ishii, H. 24 1999 Multiscale problems and homogenization for second-order Hamilton-Jacobi equations. Zbl 1133.35005 Alvarez, Olivier; Bardi, Martino; Marchi, Claudio 23 2007 Ergodic problems in differential games. Zbl 1153.91346 Alvarez, Olivier; Bardi, Martino 18 2007 A convergent scheme for a nonlocal Hamilton Jacobi equation modelling dislocation dynamics. Zbl 1103.65100 Alvarez, O.; Carlini, E.; Monneau, R.; Rouy, E. 10 2006 Uniqueness of lower semicontinuous viscosity solutions for the minimum time problem. Zbl 0949.49020 Alvarez, Olivier; Koike, Shigeaki; Nakayama, Isao 9 2000 Convergence of a first order scheme for a nonlocal eikonal equation. Zbl 1100.65072 Alvarez, O.; Carlini, E.; Monneau, R.; Rouy, E. 9 2006 Small-time solvability of a non-local Hamilton-Jacobi equation describing dislocation dynamics. (Résolution en temps court d’une équation de Hamilton-Jacobi non locale décrivant la dynamique d’une dislocation.) Zbl 1049.35005 Alvarez, Olivier; Hoch, Philippe; Le Bouar, Yann; Monneau, Régis 8 2004 A quasilinear elliptic equation in \(\mathbb{R}^ N\). Zbl 0859.35010 Alvarez, O. 7 1996 Homogenization of Hamilton-Jacobi equations in perforated sets. Zbl 0945.35010 Alvarez, O. 7 1999 Hamilton-Jacobi equations with partial gradient and application to homogenization. Zbl 1014.49021 Alvarez, O.; Ishii, H. 7 2001 Homogenization in \(L^\infty\). Zbl 1023.35010 Alvarez, O.; Barron, E. N. 6 2002 Bounded from below viscosity solutions of Hamilton-Jacobi equations. Zbl 0890.35026 Alvarez, Olivier 6 1997 Multiscale singular perturbations and homogenization of optimal control problems. Zbl 1206.93072 Alvarez, O.; Bardi, M.; Marchi, C. 4 2008 Ergodic control in \(L^\infty\). Zbl 0968.49018 Alvarez, O.; Barron, E. N. 3 2000 A singular stochastic control problem in an unbounded domain. Zbl 0807.60057 Alvarez, O. 2 1994 Ergodicity, stabilization, and singular perturbations for Bellman-Isaacs equations. Zbl 1209.35001 Alvarez, Olivier; Bardi, Martino 52 2010 Multiscale singular perturbations and homogenization of optimal control problems. Zbl 1206.93072 Alvarez, O.; Bardi, M.; Marchi, C. 4 2008 Multiscale problems and homogenization for second-order Hamilton-Jacobi equations. Zbl 1133.35005 Alvarez, Olivier; Bardi, Martino; Marchi, Claudio 23 2007 Ergodic problems in differential games. Zbl 1153.91346 Alvarez, Olivier; Bardi, Martino 18 2007 Dislocation dynamics: Short-time existence and uniqueness of the solution. Zbl 1158.74335 Alvarez, Olivier; Hoch, Philippe; Bouar, Yann Le; Monneau, Régis 31 2006 A convergent scheme for a nonlocal Hamilton Jacobi equation modelling dislocation dynamics. Zbl 1103.65100 Alvarez, O.; Carlini, E.; Monneau, R.; Rouy, E. 10 2006 Convergence of a first order scheme for a nonlocal eikonal equation. Zbl 1100.65072 Alvarez, O.; Carlini, E.; Monneau, R.; Rouy, E. 9 2006 Existence and uniqueness for dislocation dynamics with nonnegative velocity. Zbl 1099.35148 Alvarez, O.; Cardaliaguet, P.; Monneau, R. 29 2005 Small-time solvability of a non-local Hamilton-Jacobi equation describing dislocation dynamics. (Résolution en temps court d’une équation de Hamilton-Jacobi non locale décrivant la dynamique d’une dislocation.) Zbl 1049.35005 Alvarez, Olivier; Hoch, Philippe; Le Bouar, Yann; Monneau, Régis 8 2004 Singular perturbations of nonlinear degenerate parabolic pDEs: A general convergence result. Zbl 1032.35103 Alvarez, Olivier; Bardi, Martino 46 2003 Homogenization in \(L^\infty\). Zbl 1023.35010 Alvarez, O.; Barron, E. N. 6 2002 Viscosity solutions methods for singular perturbations in deterministic and stochastic control. Zbl 1017.49028 Alvarez, Olivier; Bardi, Martino 38 2001 Hamilton-Jacobi equations with partial gradient and application to homogenization. Zbl 1014.49021 Alvarez, O.; Ishii, H. 7 2001 Uniqueness of lower semicontinuous viscosity solutions for the minimum time problem. Zbl 0949.49020 Alvarez, Olivier; Koike, Shigeaki; Nakayama, Isao 9 2000 Ergodic control in \(L^\infty\). Zbl 0968.49018 Alvarez, O.; Barron, E. N. 3 2000 Hopf-Lax formulas for semicontinuous data. Zbl 0939.35045 Alvarez, O.; Barron, E. N.; Ishii, H. 24 1999 Homogenization of Hamilton-Jacobi equations in perforated sets. Zbl 0945.35010 Alvarez, O. 7 1999 Convex viscosity solutions and state constraints. Zbl 0890.49013 Alvarez, O.; Lasry, J.-M.; Lions, P.-L. 93 1997 Bounded from below viscosity solutions of Hamilton-Jacobi equations. Zbl 0890.35026 Alvarez, Olivier 6 1997 Viscosity solutions of nonlinear integro-differential equations. Zbl 0870.45002 Alvarez, Olivier; Tourin, Agnès 70 1996 A quasilinear elliptic equation in \(\mathbb{R}^ N\). Zbl 0859.35010 Alvarez, O. 7 1996 A singular stochastic control problem in an unbounded domain. Zbl 0807.60057 Alvarez, O. 2 1994 all cited Publications top 5 cited Publications all top 5 Cited by 277 Authors 12 Bardi, Martino 11 Barles, Guy 11 Ley, Olivier 11 Monneau, Régis 11 Topp, Erwin 10 El Hajj, Ahmad 9 Marchi, Claudio 8 Forcadel, Nicolas 7 Camilli, Fabio 7 Cesaroni, Annalisa 6 Cardaliaguet, Pierre 6 Imbert, Cyril 6 Tchou, Nicoletta Anna 5 Ghilli, Daria 5 Mannucci, Paola 5 Quincampoix, Marc 4 Alvarez, Olivier 4 Cannarsa, Piermarco 4 Chasseigne, Emmanuel 4 Da Lio, Francesca 4 Gaitsgory, Vladimir G. 4 Lee, Ki-Ahm 4 Monteillet, Aurélien 4 Mou, Chenchen 4 Pogodaev, Nikolaĭ Il’ich 4 Świȩch, Andrzej 3 Achdou, Yves 3 Buckdahn, Rainer 3 Dávila, Gonzalo 3 Hajej, Ahmed 3 Hamadene, Saïd 3 He, Yiran 3 Hu, Mingshang 3 Jakobsen, Espen Robstad 3 Jiang, Yi 3 Karlsen, Kenneth Hvistendahl 3 Khlopin, Dmitriĭ Valer’evich 3 Kouhkouh, Hicham 3 Mendico, Cristian 3 Nour, Chadi 3 Rossomakhine, Sergey 3 Rouy, Elisabeth 3 Siconolfi, Antonio 3 Souganidis, Panagiotis E. 3 Yangari, Miguel 2 Birindelli, Isabeau 2 Boudjerada, Rachida 2 Carlini, Elisabetta 2 Castelpietra, Marco 2 Ciomaga, Adina 2 Daraghmeh, Adnan 2 Droniou, Jérôme 2 Galise, Giulio 2 Guatteri, Giuseppina 2 Hartmann, Carsten 2 Ishii, Hitoshi 2 Ivanov, Grigorii E. 2 Kim, Inwon Christina 2 Kim, Kwang Ik 2 Kim, Sunghan 2 Kim, Yong-Cheol 2 Koike, Shigeaki 2 La Chioma, Claudia 2 Le Guyader, Carole 2 Ma, Jin 2 Mitake, Hiroyoshi 2 Mo, Jiaqi 2 Nguyen, Thi Tuyen 2 Panov, Evgeniy Yu. 2 Park, Hyun Suk 2 Požár, Norbert 2 Qatanani, Naji A. 2 Qian, Xiaosong 2 Quaas, Alexander 2 Renault, Jérôme 2 Salazar, Wilfredo 2 Schiera, Delia 2 Sprekeler, Timo 2 Stroffolini, Bianca 2 Tessitore, Gianmario 2 Thibault, Lionel 2 Tran Vinh Hung 2 Wang, Falei 2 Xin, Jack X. 2 Yu, Yifeng 2 Zaslavski, Alexander Yakovlevich 2 Zaydan, Mamdouh 1 Abdelaziz, Batoul 1 Abels, Helmut 1 Acharya, Amit 1 Akian, Marianne 1 Al Zohbi, Marya 1 Alibaud, Nathaël 1 Altman, Eitan 1 Amadori, Anna Lisa 1 Angeli, David 1 Arisawa, Mariko 1 Artstein, Zvi 1 Ascheberg, Marius 1 Avram, Florin ...and 177 more Authors all top 5 Cited in 91 Serials 18 Journal of Differential Equations 15 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 14 Applied Mathematics and Optimization 12 NoDEA. Nonlinear Differential Equations and Applications 11 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 9 Archive for Rational Mechanics and Analysis 7 SIAM Journal on Control and Optimization 7 Calculus of Variations and Partial Differential Equations 6 Journal of Mathematical Analysis and Applications 6 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 5 Communications in Partial Differential Equations 5 Discrete and Continuous Dynamical Systems 5 Dynamic Games and Applications 4 Mathematics of Computation 4 Numerische Mathematik 4 Transactions of the American Mathematical Society 3 Mathematische Annalen 3 The Annals of Applied Probability 3 Stochastic Processes and their Applications 3 Set-Valued and Variational Analysis 2 Communications in Mathematical Physics 2 Advances in Mathematics 2 Applied Numerical Mathematics 2 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 2 Numerical Algorithms 2 Journal de Mathématiques Pures et Appliquées. Neuvième Série 2 SIAM Journal on Mathematical Analysis 2 Journal of Dynamics and Differential Equations 2 Journal of Nonlinear Science 2 Potential Analysis 2 St. Petersburg Mathematical Journal 2 Finance and Stochastics 2 Comptes Rendus. Mathématique. Académie des Sciences, Paris 2 Communications on Pure and Applied Analysis 2 Stochastics 2 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 2 Discrete and Continuous Dynamical Systems. Series S 2 Journal of Dynamics and Games 1 Applicable Analysis 1 Journal of the Mechanics and Physics of Solids 1 Nonlinearity 1 Annali di Matematica Pura ed Applicata. Serie Quarta 1 Applied Mathematics and Computation 1 BIT 1 Czechoslovak Mathematical Journal 1 Journal of Computational and Applied Mathematics 1 Journal of Functional Analysis 1 Journal of the London Mathematical Society. Second Series 1 Journal of Optimization Theory and Applications 1 Manuscripta Mathematica 1 Mathematische Zeitschrift 1 Monatshefte für Mathematik 1 Ricerche di Matematica 1 Systems & Control Letters 1 Zeitschrift für Analysis und ihre Anwendungen 1 Acta Mathematicae Applicatae Sinica. English Series 1 Optimization 1 Revista Matemática Iberoamericana 1 Asymptotic Analysis 1 Publicacions Matemàtiques 1 Japan Journal of Industrial and Applied Mathematics 1 The Journal of Geometric Analysis 1 Journal of Global Optimization 1 Games and Economic Behavior 1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 1 Computational and Applied Mathematics 1 Advances in Differential Equations 1 European Journal of Control 1 Journal of Shanghai University 1 Journal of the European Mathematical Society (JEMS) 1 Communications in Contemporary Mathematics 1 Journal of Nonlinear Mathematical Physics 1 Differential Equations 1 Journal of Evolution Equations 1 Quantitative Finance 1 Discrete and Continuous Dynamical Systems. Series B 1 Multiscale Modeling & Simulation 1 Journal of Shanghai Jiaotong University (Science) 1 Journal of the Korean Statistical Society 1 ALEA. Latin American Journal of Probability and Mathematical Statistics 1 Inverse Problems and Imaging 1 Mathematical Modelling of Natural Phenomena 1 Analysis & PDE 1 SIAM Journal on Financial Mathematics 1 Matematicheskaya Teoriya Igr i eë Prilozheniya 1 Journal of Computational Dynamics 1 Mathematics 1 Journal de l’École Polytechnique – Mathématiques 1 Minimax Theory and its Applications 1 Probability, Uncertainty and Quantitative Risk 1 SN Partial Differential Equations and Applications all top 5 Cited in 27 Fields 156 Partial differential equations (35-XX) 119 Calculus of variations and optimal control; optimization (49-XX) 48 Systems theory; control (93-XX) 41 Probability theory and stochastic processes (60-XX) 35 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 25 Integral equations (45-XX) 23 Numerical analysis (65-XX) 17 Mechanics of deformable solids (74-XX) 15 Operator theory (47-XX) 14 Operations research, mathematical programming (90-XX) 12 Dynamical systems and ergodic theory (37-XX) 10 Ordinary differential equations (34-XX) 7 Mechanics of particles and systems (70-XX) 6 Fluid mechanics (76-XX) 6 Statistical mechanics, structure of matter (82-XX) 5 Differential geometry (53-XX) 5 Biology and other natural sciences (92-XX) 4 Measure and integration (28-XX) 3 Real functions (26-XX) 3 Global analysis, analysis on manifolds (58-XX) 2 Functional analysis (46-XX) 2 Optics, electromagnetic theory (78-XX) 2 Classical thermodynamics, heat transfer (80-XX) 1 Difference and functional equations (39-XX) 1 Convex and discrete geometry (52-XX) 1 General topology (54-XX) 1 Manifolds and cell complexes (57-XX) Citations by Year