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Author ID: alvarez.olivier Recent zbMATH articles by "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

Publications by Year

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 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

Citations by Year