No.1428

2004/07/12〜2004/07/14

小池　茂昭

Shigeaki　Koike

目　次

1. Perron's method : revisited (Viscosity Solution Theory of Differential Equations and its Developments)----------------------------1

　　　　埼玉大学理学部　　　小池 茂昭　(Koike, Shigeaki)

　

2. Inf-sup type differential games and Isaacs equations : dynamic programming approach (Viscosity Solution Theory of Differential Equations and its Developments)---9

　　　　名古屋大学情報科学研究科　　　貝瀬 秀裕　(Kaise, Hidehiro)

　

3. Regularity and speed of the Hele-Shaw flow (Viscosity Solution Theory of Differential Equations and its Developments)------------19

　　　　Department of Mathematics, MIT　　　Kim, Inwon

　

4. Local estimates and Maximum Principle for fully nonlinear equations in unbounded domains (Viscosity Solution Theory of Differential Equations and its Developments)---28

　　　　Dipartimento di Matematica, Universita di Roma "La Sapienza"　　　Leoni, Fabiana

　

5. RECENT ADVANCES IN THE THEORY OF HOMOGENIZATION FOR FULLY NONLINEAR FIRST- AND SECOND-ORDER PDE IN STATIONARY ERGODIC MEDIA (Viscosity Solution Theory of Differential Equations and its Developments)---36

　　　　Department of Mathematics, The University of Texas at Austin　　　Souganidis, Panagiotis E.

　

6. Viscosity solutions with shocks for second order equations (Viscosity Solution Theory of Differential Equations and its Developments)---41

　　　　東京大学数理科学研究科 / サセックス大学 / 室蘭工業大学　　　儀我 美一 / 鹿島 洋平 / 佐藤 元彦　(Giga, Yoshikazu / Kashima, Yohei / Sato, Moto-hiko)

　

7. Relaxation in the Cauchy problem for Hamilton-Jacobi equations (Viscosity Solution Theory of Differential Equations and its Developments)---58

　　　　早稲田大学教育・総合科学学術院 /　　　石井 仁司 /　(Ishii, Hitoshi / Loreti, Paola)

　

8. A Stefan type problem arising in modeling ice crystals growing from vapor (Viscosity Solution Theory of Differential Equations and its Developments)---72

　　　　Department of Mathematics, Hokkaido University / Institute of Applied Mathematics and Mechanics, Warsaw University　　　儀我 美一 /　(Giga, Yoshikazu / Rybka, Piotr)

　

9. On Bellman equations of ergodic type with the Ornstein-Uhlenbeck operator (Viscosity Solution Theory of Differential Equations and its Developments)---84

　　　　富山大学理学部　　　藤田 安啓　(Fujita, Yasuhiro)

　

10. Singular sets for curvature equations of order $k$ (Viscosity Solution Theory of Differential Equations and its Developments)---91

　　　　広島大学理学研究科　　　滝本 和広　(Takimoto, Kazuhiro)

　

11. Duality in Stochastic Optimal Control and Applications (Viscosity Solution Theory of Differential Equations and its Developments)---106

　　　　北海道大学理学研究科 /　　　三上 敏夫 /　(Mikami, Toshio / Thieullen, Michele)

　

12. A deterministic-control-based approach to motion by curvature (Viscosity Solution Theory of Differential Equations and its Developments)---120

　　　　Courant Institute, New York University / Courant Institute, New York University　　　Kohn, Robert V. / Serfaty, Sylvia

　

13. On singular vertical diffusion for some Hamilton-Jacobi equations (Viscosity Solution Theory of Differential Equations and its Developments)---131

　　　　東京大学数理学研究科 / 東京大学数理学研究科　　　儀我 美保 / 儀我 美一　(Giga, Mi-Ho / Giga, Yoshikazu)

　

14. A NOTE ON THE HOMOGENIZATION OF FULLY NONLINEAR DEGENERATE ELLIPTIC EQUATIONS (Viscosity Solution Theory of Differential Equations and its Developments)---143

　　　　早稲田大学教育・総合科学学術院　　　石井 仁司　(Ishii, Hitoshi)