Functional Analysis and Related Topics, 1991: Proceedings of the International Conference in Memory of Professor Kôsaku Yosida held at RIMS, Kyoto University, Japan, July 29–Aug. 2, 1991

C. A. Berenstein, T. Kawai, D. C. Struppa (auth.), Hikosaburo Komatsu (eds.)3540564713, 9783540564713, 0387564713

In these proceedings of the international conference held in Kyoto in memoryof the late Professor K saku Yosida, twenty six invited speakers display in their many facets of functional analysis and its applications in the research tradition of Yosida’s school. Many of the topics are related tolinear and non-linear partial differential equations, including the Schr|dinger equations, the Navier-Stokes equations and quasilinear hyperbolic equations. Several of the papers are survey articles, the others are original (unpublished) and refereed research articles. Also included is a full listing of the publications of K. Yosida. Recommendedto students and research workers looking for a bird’s-eye view of current research activity in functional analysis and its applications. FROM THE CONTENTS: K. Ito: Semigroups in probability theory.- T. Kato: Abstract evolution equations, linear and quasilinear, revisited.- J.L. Lions: Remarkson systems with incompletely given initial data and incompletely given part of the boundary.- H. Brezis: New energies for harmonic maps and liquid crystals.- D. Fujiwara: Some Feynman path integrals as oscillatory integrals over a Sobolev manifold.- M. Giga, Y. Giga, H. Sohr: L estimates for the Stokes system.- Y. Kawahigashi: Exactly solvable orbifold models and subfactors.- H. Kitada: Asymptotic completeness of N-body wave operators II. A new proof for the short-range case and the asymptotic clustering for the long-range systems. Y. Kobayashi, S. Oharu: Semigroups oflocally Lipschitzian operators and applications.- H. Komatsu: Operational calculus and semi-groups of operators.

---

Table of contents :
Interpolation theorems in several complex variables and applications….Pages 1-9
New energies for harmonic maps and liquid crystals….Pages 11-24
L p regularity for abstract differential equations….Pages 25-38
Some feynman path integrals as oscillatory integrals over a sobolev manifold….Pages 39-53
L p estimates for the stokes system….Pages 55-67
Semigroups in probability theory….Pages 69-83
Characterization of nonlinearly perturbed semigroups….Pages 85-102
Abstract evolution equations, linear and quasilinear, revisited….Pages 103-125
Exactly solvable orbifold models and subfactors….Pages 127-147
Asymptotic completeness of N -body wave operators II. A new proof for the short-range case and the asymptotic clustering for long-range systems….Pages 149-189
Semigroups of locally lipschitzian operators and applications….Pages 191-211
Operational calculus and semi-groups of operators….Pages 213-234
Wave equations in nonreflexive spaces….Pages 235-238
Remarks on systems with incompletely given initial data and incompletely given part of the boundary….Pages 239-250
On non-convex curves of constant angle….Pages 251-268
Asymptotic behavior of weak solutions of the convection equation….Pages 269-276
Uniform restricted parabolic Harnack inequality, separation principle, and ultracontractivity for parabolic equations….Pages 277-288
The separable quotient problem for barrelled spaces….Pages 289-308
A computer-assisted analysis of the two dimensional Navier-Stokes equations….Pages 309-318
A priori estimates for some nonlinear parabolic equations via lyapunov functions….Pages 319-327
Remarks on recurrence criteria for processes of ornstein-uhlenbeck type….Pages 329-340
Some remarks about singular perturbed solutions for emden-fowler equation with exponential nonlinearity….Pages 341-359
Fully discrete approximation of a second order linear evolution equation related to the water wave problem….Pages 361-380
A counterexample concerning imaginary powers of linear operators….Pages 381-387
Global solution to some quasilinear parabolic problem in mathematical biology….Pages 389-401
Quasilinear geometric optics approximation….Pages 403-413