No.1234

Tosio Kato's Method and Principle for Evolution Equations in Mathematical Physics

2001/06/27～2001/06/29

岡本　久

Hisashi Okamoto

目　次

1. With Tosio Kato at Berkeley (Tosio Kato's Method and Principle for Evolution Equations in Mathematical Physics)-------------------1

　　　　　　　Cordes,H.O.

2. Discretization of Layer Potentials and Numerical Methods for Water Waves (Tosio Kato's Method and Principle for Evolution Equations in Mathematical Physics)---18

　　　　Mathematics Department, Duke University　　　Beale,J. Thomas

3. Incompressible Navier-Stokes equations in abstract Banach spaces (Tosio Kato's Method and Principle for Evolution Equations in Mathematical Physics)---27

　　　　Universite de Marne-la-Vallee, Equipe d'Analyse et de Mathematiques Appliquees/Instytut Matematyczny, Uniwersytet Wroclawski　　　Cannone,Marco/Karch,Grzegorz

4. On the Well-Posedness of the Euler Equations in the Besov and the Triebel-Lizorkin Spaces (Tosio Kato's Method and Principle for Evolution Equations in Mathematical Physics)---42

　　　　Department of Mathematics, Seoul National University　　　Chae,Dongho

5. Asymptotic behaviour and net force for the Navier-Stokes flows in exterior domains (Tosio Kato's Method and Principle for Evolution Equations in Mathematical Physics)---58

　　　　/東北大学理学部　　　/小薗英雄　(Choe,Hi Jun/Kozono,Hideo)

6. Variational Inequalities and Nonlinear Semi-groups Applied to Certain Nonlinear Problems for the Stokes Equation (Tosio Kato's Method and Principle for Evolution Equations in Mathematical Physics)---70

　　　　東海大学教育開発研究所　　　藤田宏　(Fujita,Hiroshi)

7. On the two-dimensional nonstationary vorticity equations (Tosio Kato's Method and Principle for Evolution Equations in Mathematical Physics)---86

　　　　北海道大学理学研究科　　　儀我美一　(Giga,Yoshikazu)

8. Resolvent Formulas, Special and General (Tosio Kato's Method and Principle for Evolution Equations in Mathematical Physics)------98

　　　　学習院大学理学部　　　黒田成俊　(Kuroda,S.T.)

9. Scattering problem for nonlinear Schrodinger and Hartree equations (Tosio Kato's Method and Principle for Evolution Equations in Mathematical Physics)---105

　　　　名古屋大学多元数理科学研究科/北海道大学理学研究科　　　中西賢次/小澤徹　(Nakanishi,Kenji/Ozawa,Tohru)

10. ANALYTIC SMOOTHING EFFECT FOR THE BENJAMIN-ONO EQUATION (Tosio Kato's Method and Principle for Evolution Equations in MathematicalPhysics)---113

　　　　九州大学数理学研究院　　　小川卓克　(Ogawa,Takayoshi)

11. Comparison between the Boussinesq and coupled Euler equations in two dimensions (Tosio Kato's Method and Principle for Evolution Equations in Mathematical Physics)---127

　　　　京都大学数理解析研究所　　　大木谷耕司　(Ohkitani,Koji)

12. ON A STABILITY THEOREM OF THE NAVIER-STOKES EQUATION IN A THREE DIMENSIONAL EXTERIOR DOMAIN (Tosio Kato's Method and Principle for Evolution Equations in Mathematical Physics)---146

　　　　早稲田大学理工学部　　　柴田良弘　(Shibata,Yoshihiro)

13. NONLINEAR INSTABILITY OF DISPERSIVE WAVES (Tosio Kato's Method and Principle for Evolution Equations in Mathematical Physics)---173

　　　　Brown Univ.　　　Strauss,Walter A.

14. Strichartz inequality and smoothing property for Schrodinger equations with potential superquadratic at infinity (Tosio Kato's Method and Principle for Evolution Equations in Mathematical Physics)---179

　　　　東京大学数理科学研究科/東京大学数理科学研究科　　　谷島賢二　(Yajima,Kenji/Zhang,Guoping)

15. On the Stokes and Navier-Stokes flows between parallel planes (Tosio Kato's Method and Principle for Evolution Equations in Mathematical Physics)---195

　　　　早稲田大学理工学部　　　阿部孝之　(Abe,Takayuki)

16. ON THE CAUCHY PROBLEM IN THE MAXWELL-CHERN-SIMONS-HIGGS SYSTEM (Tosio Kato's Method and Principle for Evolution Equations in Mathematical Physics)---206

　　　　Department of Mathematics, Seoul National University/Department on Mathematics, Seoul National University　　　Chae,Dongho/Chae,Myeongju

17. On the Cauchy problem of the Chern-Simons-Higgs theory (Tosio Kato's Method and Principle for Evolution Equations in Mathematical Physics)---213

　　　　Department of Mathematics, Seoul National University/Department of Mathematics, Seoul National University　　　Chae,Dongho/Choe,Kwangseok

18. Two-Dimensional Navier-Stokes Flow with Nondecaying Initial Velocity (Tosio Kato's Method and Principle for Evolution Equations in Mathematical Physics)---221

　　　　北海道大学理学研究科/北海道情報大学/北海道大学理学研究科　　　儀我美一/松井伸也/沢田宙広　(Giga,Yoshikazu/Matsui,Shin'ya/Sawada,Okihiro)

19. Weighted Strichartz estimates and existence of self-similar solutions for semilinear wave equations (Tosio Kato's Method and Principle for Evolution Equations in Mathematical Physics)---228

　　　　北海道大学理学研究科/北海道大学理学研究科　　　加藤淳/小澤徹　(Kato,Jun/Ozawa,Tohru)

20. Blow-up problems modeled from the strain-vorticity dynamics (Tosio Kato's Method and Principle for Evolution Equations in Mathematical Physics)---240

　　　　京都大学数理解析研究所/京都大学数理解析研究所　　　大木谷耕司/岡本久　(Ohkitani,Koji/Okamoto,Hisashi)

21. ON THE STEADY FLOW OF COMPRESSIBLE VISCOUS FLUID AND ITS STABILITY WITH RESPECT TO INITIAL DISTURBANCE (Tosio Kato's Method and Principle for Evolution Equations in Mathematical Physics)---251

　　　　早稲田大学理工学部　　　田中孝明　(Tanaka,Koumei)

22. Professor Tosio Kato (Tosio Kato's Method and Principle for Evolution Equations in Mathematical Physics)-----------------------259

23. Two manuscripts left by late Professor Tosio Kato in his personal computer (Tosio Kato's Method and Principle for Evolution Equations in Mathematical Physics)---260

24. Untitled Manuscript (Tosio Kato's Method and Principle for Evolution Equations in Mathematical Physics)------------------------261

25. A remark on the 2D-Euler equation (Tosio Kato's Method and Principle for Evolution Equations in Mathematical Physics)----------271

26. Publications of Tosio Kato (Tosio Kato's Method and Principle for Evolution Equations in Mathematical Physics)-----------------275