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Alvarez, Olivier

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Author ID: alvarez.olivier Recent zbMATH articles by "Alvarez, Olivier"
Published as: Alvarez, O.; Alvarez, Olivier
Documents Indexed: 22 Publications since 1994, including 1 Book

Publications by Year

Citations contained in zbMATH

21 Publications have been cited 388 times in 281 Documents Cited by Year
Convex viscosity solutions and state constraints. Zbl 0890.49013
Alvarez, O.; Lasry, J.-M.; Lions, P.-L.
71
1997
Viscosity solutions of nonlinear integro-differential equations. Zbl 0870.45002
Alvarez, Olivier; Tourin, Agnès
58
1996
Ergodicity, stabilization, and singular perturbations for Bellman-Isaacs equations. Zbl 1209.35001
Alvarez, Olivier; Bardi, Martino
35
2010
Singular perturbations of nonlinear degenerate parabolic pDEs: A general convergence result. Zbl 1032.35103
Alvarez, Olivier; Bardi, Martino
31
2003
Viscosity solutions methods for singular perturbations in deterministic and stochastic control. Zbl 1017.49028
Alvarez, Olivier; Bardi, Martino
27
2001
Dislocation dynamics: Short-time existence and uniqueness of the solution. Zbl 1158.74335
Alvarez, Olivier; Hoch, Philippe; Bouar, Yann Le; Monneau, Régis
25
2006
Existence and uniqueness for dislocation dynamics with nonnegative velocity. Zbl 1099.35148
Alvarez, O.; Cardaliaguet, P.; Monneau, R.
25
2005
Hopf-Lax formulas for semicontinuous data. Zbl 0939.35045
Alvarez, O.; Barron, E. N.; Ishii, H.
19
1999
Multiscale problems and homogenization for second-order Hamilton-Jacobi equations. Zbl 1133.35005
Alvarez, Olivier; Bardi, Martino; Marchi, Claudio
16
2007
Ergodic problems in differential games. Zbl 1153.91346
Alvarez, Olivier; Bardi, Martino
12
2007
Uniqueness of lower semicontinuous viscosity solutions for the minimum time problem. Zbl 0949.49020
Alvarez, Olivier; Koike, Shigeaki; Nakayama, Isao
9
2000
A convergent scheme for a nonlocal Hamilton Jacobi equation modelling dislocation dynamics. Zbl 1103.65100
Alvarez, O.; Carlini, E.; Monneau, R.; Rouy, E.
8
2006
Small-time solvability of a non-local Hamilton-Jacobi equation describing dislocation dynamics. Zbl 1049.35005
Alvarez, Olivier; Hoch, Philippe; Le Bouar, Yann; Monneau, Régis
8
2004
Hamilton-Jacobi equations with partial gradient and application to homogenization. Zbl 1014.49021
Alvarez, O.; Ishii, H.
7
2001
Homogenization of Hamilton-Jacobi equations in perforated sets. Zbl 0945.35010
Alvarez, O.
7
1999
Convergence of a first order scheme for a nonlocal eikonal equation. Zbl 1100.65072
Alvarez, O.; Carlini, E.; Monneau, R.; Rouy, E.
6
2006
Homogenization in \(L^\infty\). Zbl 1023.35010
Alvarez, O.; Barron, E. N.
6
2002
A quasilinear elliptic equation in \(\mathbb{R}^ N\). Zbl 0859.35010
Alvarez, O.
6
1996
Bounded from below viscosity solutions of Hamilton-Jacobi equations. Zbl 0890.35026
Alvarez, Olivier
5
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
Ergodicity, stabilization, and singular perturbations for Bellman-Isaacs equations. Zbl 1209.35001
Alvarez, Olivier; Bardi, Martino
35
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
16
2007
Ergodic problems in differential games. Zbl 1153.91346
Alvarez, Olivier; Bardi, Martino
12
2007
Dislocation dynamics: Short-time existence and uniqueness of the solution. Zbl 1158.74335
Alvarez, Olivier; Hoch, Philippe; Bouar, Yann Le; Monneau, Régis
25
2006
A convergent scheme for a nonlocal Hamilton Jacobi equation modelling dislocation dynamics. Zbl 1103.65100
Alvarez, O.; Carlini, E.; Monneau, R.; Rouy, E.
8
2006
Convergence of a first order scheme for a nonlocal eikonal equation. Zbl 1100.65072
Alvarez, O.; Carlini, E.; Monneau, R.; Rouy, E.
6
2006
Existence and uniqueness for dislocation dynamics with nonnegative velocity. Zbl 1099.35148
Alvarez, O.; Cardaliaguet, P.; Monneau, R.
25
2005
Small-time solvability of a non-local Hamilton-Jacobi equation describing dislocation dynamics. 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
31
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
27
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.
19
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.
71
1997
Bounded from below viscosity solutions of Hamilton-Jacobi equations. Zbl 0890.35026
Alvarez, Olivier
5
1997
Viscosity solutions of nonlinear integro-differential equations. Zbl 0870.45002
Alvarez, Olivier; Tourin, Agnès
58
1996
A quasilinear elliptic equation in \(\mathbb{R}^ N\). Zbl 0859.35010
Alvarez, O.
6
1996
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Cited by 327 Authors

11 Barles, Guy
11 Cardaliaguet, Pierre
11 Ley, Olivier
11 Monneau, Régis
9 Bardi, Martino
9 Barron, Emmanuel Nicholas
8 Imbert, Cyril
8 Salani, Paolo
8 Topp, Erwin
7 El Hajj, Ahmad
7 Marchi, Claudio
6 Cesaroni, Annalisa
6 Forcadel, Nicolas
6 Ma, Xi-Nan
6 Quincampoix, Marc
6 Tchou, Nicoletta Anna
5 Camilli, Fabio
5 Jensen, Robert R.
5 Mannucci, Paola
5 Souganidis, Panagiotis E.
4 Alvarez, Olivier
4 Chambolle, Antonin
4 Da Lio, Francesca
4 Gaitsgory, Vladimir A.
4 He, Yiran
4 Lee, Ki-Ahm
4 Liu, Qing
4 Loreti, Paola
4 Monteillet, Aurélien
4 Mou, Chenchen
3 Achdou, Yves
3 Bian, Baojun
3 Buckdahn, Rainer
3 Cannarsa, Piermarco
3 Caselles Costa, Vicent
3 Chasseigne, Emmanuel
3 Chen, ChuanQiang
3 Covei, Dragoş-Pătru
3 Crasta, Graziano
3 Fragalà, Ilaria
3 Ghilli, Daria
3 Guan, Pengfei
3 Ishige, Kazuhiro
3 Ishii, Hitoshi
3 Jakobsen, Espen Robstad
3 Jia, Guangyan
3 Jiang, Yi
3 Karlsen, Kenneth Hvistendahl
3 Nour, Chadi
3 Penot, Jean-Paul
3 Pogodaev, Nikolaĭ Il’ich
3 Rossomakhine, Sergey
3 Rouy, Elisabeth
3 Stroffolini, Bianca
3 Świȩch, Andrzej
3 Tran Vinh Hung
2 Alvarez, Orlando
2 Boudjerada, Rachida
2 Briani, Ariela
2 Carlini, Elisabetta
2 Castelpietra, Marco
2 Cerqueti, Roy
2 Daraghmeh, Adnan
2 Dávila, Gonzalo
2 Dragoni, Federica
2 Droniou, Jérôme
2 Feldman, Mikhail
2 Figalli, Alessio
2 Gensbittel, Fabien
2 Hajej, Ahmed
2 Hamadene, Saïd
2 Hartmann, Carsten
2 Hu, Bowen
2 Ivanov, Grigorii E.
2 Khlopin, Dmitriĭ Valer’evich
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 Lions, Pierre-Louis
2 Ma, Jin
2 Manfredi, Juan J.
2 Mo, Jiaqi
2 Nakayasu, Atsushi
2 Nguyen, Thi Tuyen
2 Novaga, Matteo
2 Park, Hyun Suk
2 Požár, Norbert
2 Prinari, Francesca
2 Qatanani, Naji A.
2 Qian, Xiaosong
2 Quaas, Alexander
2 Rainer, Catherine
2 Renault, Jérôme
2 Salazar, Wilfredo
2 Siconolfi, Antonio
2 Thibault, Lionel
...and 227 more Authors
all top 5

Cited in 90 Serials

18 Journal of Differential Equations
15 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
13 Archive for Rational Mechanics and Analysis
13 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations
11 NoDEA. Nonlinear Differential Equations and Applications
10 Applied Mathematics and Optimization
9 Calculus of Variations and Partial Differential Equations
8 Journal of Mathematical Analysis and Applications
8 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
8 Communications in Partial Differential Equations
8 Journal de Mathématiques Pures et Appliquées. Neuvième Série
8 Discrete and Continuous Dynamical Systems
7 Transactions of the American Mathematical Society
6 Advances in Mathematics
6 Mathematische Annalen
6 Dynamic Games and Applications
5 Journal of Optimization Theory and Applications
5 SIAM Journal on Control and Optimization
4 Mathematics of Computation
4 Numerische Mathematik
4 Journal of Global Optimization
4 SIAM Journal on Mathematical Analysis
4 Comptes Rendus. Mathématique. Académie des Sciences, Paris
3 Applicable Analysis
3 Communications in Mathematical Physics
3 The Annals of Applied Probability
3 Stochastic Processes and their Applications
3 Communications on Pure and Applied Analysis
3 Set-Valued and Variational Analysis
2 Communications on Pure and Applied Mathematics
2 Applied Mathematics and Computation
2 Archiv der Mathematik
2 Journal of Functional Analysis
2 Manuscripta Mathematica
2 Applied Numerical Mathematics
2 Optimization
2 Probability Theory and Related Fields
2 Revista Matemática Iberoamericana
2 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
2 Numerical Algorithms
2 Potential Analysis
2 Finance and Stochastics
2 Discrete and Continuous Dynamical Systems. Series S
2 Journal of Dynamics and Games
2 Minimax Theory and its Applications
1 Nonlinearity
1 Czechoslovak Mathematical Journal
1 Inventiones Mathematicae
1 Journal of Computational and Applied Mathematics
1 Mathematics of Operations Research
1 Mathematische Zeitschrift
1 Memoirs of the American Mathematical Society
1 Pacific Journal of Mathematics
1 Proceedings of the American Mathematical Society
1 Quarterly of Applied Mathematics
1 Rendiconti del Seminario Matematico della Università di Padova
1 Ricerche di Matematica
1 SIAM Journal on Numerical Analysis
1 Systems & Control Letters
1 Zeitschrift für Analysis und ihre Anwendungen
1 Acta Mathematicae Applicatae Sinica. English Series
1 Applied Mathematics Letters
1 Asymptotic Analysis
1 Annals of Operations Research
1 Japan Journal of Industrial and Applied Mathematics
1 Games and Economic Behavior
1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
1 Journal of Dynamics and Differential Equations
1 Journal of Nonlinear Science
1 Opuscula Mathematica
1 European Journal of Control
1 Journal of Shanghai University
1 Journal of the European Mathematical Society (JEMS)
1 Acta Mathematica Sinica. English Series
1 Communications in Contemporary Mathematics
1 International Game Theory Review
1 Journal of Nonlinear Mathematical Physics
1 Differential Equations
1 Quantitative Finance
1 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V
1 Stochastics
1 Journal of Shanghai Jiaotong University (Science)
1 Journal of the Korean Statistical Society
1 Annali dell’Università di Ferrara. Sezione VII. Scienze Matematiche
1 ALEA. Latin American Journal of Probability and Mathematical Statistics
1 Analysis & PDE
1 SIAM Journal on Financial Mathematics
1 Matematicheskaya Teoriya Igr i eë Prilozheniya
1 Journal of Computational Dynamics
1 Mathematics

Citations by Year