Description
Springer Functional Analysis And Related Topics 1991 Proceedings Of The International Conference 1993 Edition by Hikosaburo Komatsu
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 Several of the papers are survey articles, the others are original (unpublished) and refereed research articles.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.- 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.