Edit Profile (opens in new tab) Arisawa, Mariko Co-Author Distance Author ID: arisawa.mariko Published as: Arisawa, Mariko; Arisawa, M. Documents Indexed: 26 Publications since 1996, including 7 Additional arXiv Preprints Co-Authors: 4 Co-Authors with 8 Joint Publications 330 Co-Co-Authors Co-Authors 18 single-authored 4 Lions, Pierre-Louis 3 Ishii, Hitoshi 2 Tourin, Agnès 1 Giga, Yoshikazu all top 5 Serials 5 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 2 Communications in Partial Differential Equations 2 Discrete and Continuous Dynamical Systems 1 Applied Mathematics and Optimization 1 Indiana University Mathematics Journal 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 Advances in Mathematical Sciences and Applications 1 Comptes Rendus de l’Académie des Sciences. Série I. Mathématique 1 RIMS Kokyuroku 1 Nonlinear Analysis. Theory, Methods & Applications all top 5 Fields 14 Calculus of variations and optimal control; optimization (49-XX) 7 Partial differential equations (35-XX) 5 Integral equations (45-XX) 1 Ordinary differential equations (34-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Differential geometry (53-XX) 1 Mechanics of particles and systems (70-XX) 1 Mechanics of deformable solids (74-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Systems theory; control (93-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 15 Publications have been cited 202 times in 141 Documents Cited by ▼ Year ▼ On ergodic stochastic control. Zbl 1126.93434 Arisawa, M.; Lions, P.-L. 68 1998 Ergodic problem for the Hamilton-Jacobi-Bellman equation. II. Zbl 0903.49018 Arisawa, Mariko 32 1998 Ergodic problem for the Hamilton-Jacobi-Bellman equation. I: Existence of the ergodic attractor. Zbl 0892.49015 Arisawa, Mariko 19 1997 Homogenization of a class of integro-differential equations with Lévy operators. Zbl 1176.35016 Arisawa, Mariko 15 2009 Long time averaged reflection force and homogenization of oscillating Neumann boundary conditions. Zbl 1139.35311 Arisawa, Mariko 12 2003 A new definition of viscosity solutions for a class of second-order degenerate elliptic integro-differential equations. Zbl 1105.45004 Arisawa, Mariko 11 2006 Quasi-periodic homogenizations for second-order Hamilton-Jacobi-Bellman equations. Zbl 1014.49018 Arisawa, Mariko 8 2001 A remark on the definitions of viscosity solutions for the integro-differential equations with Lévy operators. Zbl 1168.45008 Arisawa, Mariko 7 2008 Homogenizations of integro-differential equations with Lévy operators with asymmetric and degenerate densities. Zbl 1258.45007 Arisawa, Mariko 6 2012 Continuity of admissible trajectories for state constraints control problems. Zbl 0953.49004 Arisawa, M.; Lions, P.-L. 6 1996 Corrigendum for comparison theorems in: “A new definition of viscosity solutions for a class of second-order degenerate elliptic integro-differential equations”. Zbl 1125.45008 Arisawa, Mariko 5 2007 Anisotropic curvature flow in a very thin domain. Zbl 1028.35076 Arisawa, Mariko; Giga, Yoshikazu 3 2003 Some ergodic problems for Hamilton-Jacobi equations in Hilbert space. Zbl 0848.35026 Arisawa, Mariko 2 1996 A characterization of the existence of solutions for Hamilton-Jacobi equations in ergodic control problems with applications. Zbl 0967.35029 Arisawa, M.; Ishii, H.; Lions, P.-L. 2 2000 A localization of the Lévy operators arising in mathematical finances. Zbl 1152.45306 Arisawa, Mariko 1 2007 Homogenizations of integro-differential equations with Lévy operators with asymmetric and degenerate densities. Zbl 1258.45007 Arisawa, Mariko 6 2012 Homogenization of a class of integro-differential equations with Lévy operators. Zbl 1176.35016 Arisawa, Mariko 15 2009 A remark on the definitions of viscosity solutions for the integro-differential equations with Lévy operators. Zbl 1168.45008 Arisawa, Mariko 7 2008 Corrigendum for comparison theorems in: “A new definition of viscosity solutions for a class of second-order degenerate elliptic integro-differential equations”. Zbl 1125.45008 Arisawa, Mariko 5 2007 A localization of the Lévy operators arising in mathematical finances. Zbl 1152.45306 Arisawa, Mariko 1 2007 A new definition of viscosity solutions for a class of second-order degenerate elliptic integro-differential equations. Zbl 1105.45004 Arisawa, Mariko 11 2006 Long time averaged reflection force and homogenization of oscillating Neumann boundary conditions. Zbl 1139.35311 Arisawa, Mariko 12 2003 Anisotropic curvature flow in a very thin domain. Zbl 1028.35076 Arisawa, Mariko; Giga, Yoshikazu 3 2003 Quasi-periodic homogenizations for second-order Hamilton-Jacobi-Bellman equations. Zbl 1014.49018 Arisawa, Mariko 8 2001 A characterization of the existence of solutions for Hamilton-Jacobi equations in ergodic control problems with applications. Zbl 0967.35029 Arisawa, M.; Ishii, H.; Lions, P.-L. 2 2000 On ergodic stochastic control. Zbl 1126.93434 Arisawa, M.; Lions, P.-L. 68 1998 Ergodic problem for the Hamilton-Jacobi-Bellman equation. II. Zbl 0903.49018 Arisawa, Mariko 32 1998 Ergodic problem for the Hamilton-Jacobi-Bellman equation. I: Existence of the ergodic attractor. Zbl 0892.49015 Arisawa, Mariko 19 1997 Continuity of admissible trajectories for state constraints control problems. Zbl 0953.49004 Arisawa, M.; Lions, P.-L. 6 1996 Some ergodic problems for Hamilton-Jacobi equations in Hilbert space. Zbl 0848.35026 Arisawa, Mariko 2 1996 all cited Publications top 5 cited Publications all top 5 Cited by 159 Authors 7 Arisawa, Mariko 7 Bardi, Martino 7 Quincampoix, Marc 6 Marchi, Claudio 5 Barles, Guy 5 Buckdahn, Rainer 5 Cardaliaguet, Pierre 5 Souganidis, Panagiotis E. 5 Świȩch, Andrzej 4 Gaitsgory, Vladimir G. 4 Goreac, Dan 4 Khlopin, Dmitriĭ Valer’evich 4 Kim, Inwon Christina 4 Topp, Erwin 3 Bettiol, Piernicola 3 Borkar, Vivek Shripad 3 Cannarsa, Piermarco 3 Cesaroni, Annalisa 3 Ciomaga, Adina 3 Davini, Andrea 3 Feldman, William M. 3 Ghilli, Daria 3 Giga, Yoshikazu 3 Guillen, Nestor 3 Kouhkouh, Hicham 3 Li, Juan 3 Lions, Pierre-Louis 3 Piatnitski, Andrey L. 3 Renault, Jérôme 3 Sandrić, Nikola 3 Shvartsman, Ilya A. 3 Zhizhina, Elena Anatol’evna 2 Arapostathis, Aristotle 2 Biswas, Anup 2 Camilli, Fabio 2 Choi, Sunhi 2 Frankowska, Hélène 2 Grüne, Lars 2 Hajej, Ahmed 2 Hamamuki, Nao 2 Imbert, Cyril 2 Ley, Olivier 2 Mendico, Cristian 2 Mou, Chenchen 2 Nakayasu, Atsushi 2 Namba, Tokinaga 2 Nguyen, Vinh Duc 2 Pang, Guodong 2 Panov, Evgeniy Yu. 2 Pham, Huyên 2 Porretta, Alessio 2 Schwab, Russell W. 2 Serea, Oana-Silvia 2 Siconolfi, Antonio 2 Spiliopoulos, Konstantinos V. 2 Tessitore, Gianmario 2 Wang, Jian 2 Zhao, Nana 1 Akian, Marianne 1 Alvarez, Olivier 1 Ambrosio, Luigi 1 Ankirchner, Stefan 1 Ašković, Veljko 1 Bălilescu, Loredana 1 Bao, Xiaofan 1 Barron, Emmanuel Nicholas 1 Bayraktar, Erhan 1 Bertucci, Charles 1 Bougrini, Hassane 1 Capuzzo Dolcetta, Italo 1 Chasseigne, Emmanuel 1 Chen, Xin 1 Chen, Zhen-Qing 1 Cheng, Wei 1 Cirant, Marco 1 Conforti, Giovanni 1 Cossc, Andrea 1 Cosso, Andrea 1 Da Lio, Francesca 1 Dalibard, Anne-Laure 1 David, Benoît 1 Dávila, Gonzalo 1 De Vallière, Dimitri 1 Debbah, Mérouane 1 Debussche, Arnaud 1 Duan, Jinqiao 1 Dupuis, Paul G. 1 Engelhardt, Stefan 1 Esteve, Carlos 1 Feleqi, Ermal 1 Felmer, Patricio L. 1 Frid, Hermano 1 Fuhrman, Marco 1 Gaubert, Stéphane 1 Ghosh, Amrita 1 Ghosh, Tuhin 1 Hernández-Lerma, Onésimo 1 Hochart, Antoine 1 Hu, Mingshang 1 Hu, Ying ...and 59 more Authors all top 5 Cited in 56 Serials 13 Journal of Differential Equations 8 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 8 Journal de Mathématiques Pures et Appliquées. Neuvième Série 7 Applied Mathematics and Optimization 6 Journal of Mathematical Analysis and Applications 6 SIAM Journal on Control and Optimization 6 Communications in Partial Differential Equations 6 Stochastic Processes and their Applications 6 Discrete and Continuous Dynamical Systems 6 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 5 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 5 Calculus of Variations and Partial Differential Equations 4 NoDEA. Nonlinear Differential Equations and Applications 3 Archive for Rational Mechanics and Analysis 3 SIAM Journal on Mathematical Analysis 3 Dynamic Games and Applications 2 Transactions of the American Mathematical Society 2 The Annals of Applied Probability 2 Potential Analysis 2 St. Petersburg Mathematical Journal 1 Communications on Pure and Applied Mathematics 1 Israel Journal of Mathematics 1 Scandinavian Journal of Statistics 1 ZAMP. Zeitschrift für angewandte Mathematik und Physik 1 The Annals of Probability 1 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 1 International Journal of Game Theory 1 Journal of Optimization Theory and Applications 1 Mathematische Annalen 1 Systems & Control Letters 1 Optimization 1 Publicacions Matemàtiques 1 MCSS. Mathematics of Control, Signals, and Systems 1 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni 1 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 1 Set-Valued Analysis 1 Complexity 1 Bernoulli 1 Sbornik: Mathematics 1 Finance and Stochastics 1 Differential Equations and Dynamical Systems 1 Nonlinear Analysis. Real World Applications 1 Journal of Evolution Equations 1 Discrete and Continuous Dynamical Systems. Series B 1 Advanced Nonlinear Studies 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 Stochastics and Dynamics 1 Oberwolfach Reports 1 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 1 Matematicheskaya Teoriya Igr i eë Prilozheniya 1 Eurasian Mathematical Journal 1 Minimax Theory and its Applications 1 European Series in Applied and Industrial Mathematics (ESAIM): Proceedings and Surveys 1 Mathematics in Engineering 1 SN Partial Differential Equations and Applications all top 5 Cited in 25 Fields 81 Partial differential equations (35-XX) 68 Calculus of variations and optimal control; optimization (49-XX) 41 Probability theory and stochastic processes (60-XX) 30 Systems theory; control (93-XX) 14 Integral equations (45-XX) 14 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 13 Dynamical systems and ergodic theory (37-XX) 11 Operator theory (47-XX) 8 Operations research, mathematical programming (90-XX) 4 Ordinary differential equations (34-XX) 3 Mechanics of particles and systems (70-XX) 3 Mechanics of deformable solids (74-XX) 3 Fluid mechanics (76-XX) 2 Optics, electromagnetic theory (78-XX) 2 Classical thermodynamics, heat transfer (80-XX) 1 General and overarching topics; collections (00-XX) 1 Measure and integration (28-XX) 1 Sequences, series, summability (40-XX) 1 Differential geometry (53-XX) 1 General topology (54-XX) 1 Statistics (62-XX) 1 Numerical analysis (65-XX) 1 Computer science (68-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Biology and other natural sciences (92-XX) Citations by Year