Proceedings of the RIMS workshop

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

June 27 - June 29,  2001

Contents

 1. With Tosio Kato at Berkeley-----------1
Univ. California, Berkeley H. O.  Cordes
 2. Discretization of Layer Potentials and Numerical Methods for Water Waves----18
Duke Univ J. Thomas  Beale
 3. Incompressible Navier-Stokes equations in abstract Banach spaces------27
Univ. de Marne-la-Vallée Marco  Cannone
Univ. Wroclawski Grzegorz  Karch
 4. On the Well-Posedness of the Euler Equations in the Besov and the Triebel-Lizorkin Spaces----------42
Seoul National Univ. Dongho  Chae
 5. Asymptotic behaviour and net force for the Navier-Stokes flows in exterior domains-----58
Yonsei Univ. Hi Jun  Choe
Tohoku Univ. Hideo  Kozono
 6. Variational Inequalities and Nonlinear Semi-groups Applied to Certain Nonlinear Problems for the Stokes Equation------70
Tokai Univ. Hiroshi  Fujita
 7. On the two-dimensional nonstationary vorticity equations--------86
Hokkaido Univ.  Yoshikazu  Giga
 8. Resolvent Formulas, Special and General----------98
Gakushuin Univ. S. T.  Kuroda
 9. Scattering problem for nonlinear Schrödinger and Hartree equations-----105
Nagoya Univ. Kenji  Nakanishi
Hokkaido Univ. Tohru  Ozawa
10. ANALYTIC SMOOTHING EFFECT FOR THE BENJAMIN-ONO EQUATION-------113
Kyushu Univ. Takayoshi  Ogawa
11. Comparison between the Boussinesq and coupled Euler equations in two dimensions-----127
Kyoto Univ. Koji  Ohkitani
12. ON A STABILITY THEOREM OF THE NAVIER-STOKES EQUATION IN A THREE DIMENSIONAL EXTERIOR DOMAIN--------146
Waseda Univ. Yoshihiro  Shibata
13. NONLINEAR INSTABILITY OF DISPERSIVE WAVES-------173
Brown Univ. Walter A.  Strauss
14. Strichartz inequality and smoothing property for Schrödinger equations with potential superquadratic at infinity-----------179
Univ. Tokyo Kenji  Yajima
Univ. Tokyo Guoping  Zhang
15. On the Stokes and Navier-Stokes flows between parallel planes---195
Waseda Univ. Takayuki  Abe
16.  ON THE CAUCHY PROBLEM IN THE MAXWELL-CHERN-SIMONS-HIGGS SYSTEM----206
Seoul National Univ. Dongho  Chae
Seoul National Univ. Myeongju  Chae
17. On the Cauchy problem of the Chern-Simons-Higgs theory-------213
Seoul National Univ. Dongho  Chae
Seoul National Univ. Kwangseok  Choe
18. Two-Dimensional Navier-Stokes Flow with Nondecaying Initial Velocity---221
Hokkaido Univ. Yoshikazu  Giga
Hokkaido Information Univ. Shin'ya  Matsui
Hokkaido Univ. Okihiro  Sawada
19. Weighted Strichartz estimates and existence of self-similar solutions for semilinear wave equations---228
Hokkaido Univ. Jun  Kato
Hokkaido Univ. Tohru  Ozawa
20. Blow-up problems modeled from the strain-vorticity dynamics-----240
Kyoto Univ. Koji  Ohkitani
Kyoto Univ. Hisashi  Okamoto
21. ON THE STEADY FLOW OF COMPRESSIBLE VISCOUS FLUID AND ITS STABILITY WITH RESPECT TO INITIAL DISTURBANCE-------251
Waseda Univ. Koumei  Tanaka
22. Professor Tosio Kato--------------259
23. Two manuscripts left by late Professor Tosio Kato in his personal computer-----260
     Untitled Manuscript---------261
     A remark on the 2D-Euler equation---------271
24. Publications of Tosio Kato-----------275