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(unpublished) and refereed research articles.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:

Interpolation theorems in several complex variables and applications.- New energies for harmonic maps and liquid crystals.- L p regularity for abstract differential equations.- Some feynman path integrals as oscillatory integrals over a sobolev manifold.- L p estimates for the stokes system.- Semigroups in probability theory.- Characterization of nonlinearly perturbed semigroups.- Abstract evolution equations, linear and quasilinear, revisited.- Exactly solvable orbifold models and subfactors.- Asymptotic completeness of N-body wave operators II. A new proof for the short-range case and the asymptotic clustering for long-range systems.- Semigroups of locally lipschitzian operators and applications.- Operational calculus and semi-groups of operators.- Wave equations in nonreflexive spaces.- Remarks on systems with incompletely given initial data and incompletely given part of the boundary.- On non-convex curves of constant angle.- Asymptotic behavior of weak solutions of the convection equation.- Uniform restricted parabolic Harnack inequality, separation principle, and ultracontractivity for parabolic equations.- The separable quotient problem for barrelled spaces.- A computer-assisted analysis of the two dimensional Navier-Stokes equations.- A priori estimates for some nonlinear parabolic equations via lyapunov functions.- Remarks on recurrence criteria for processes of ornstein-uhlenbeck type.- Some remarks about singular perturbed solutions for emden-fowler equation with exponential nonlinearity.- Fully discrete approximation of a second order linear evolution equation related to the water wave problem.- A counterexample concerning imaginary powers of linear operators.- Global solution to some quasilinear parabolic problem in mathematical biology.- Quasilinear geometric optics approximation.