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

ISBN-13: 9783540564713 / Angielski / Miękka / 1993 / 422 str.

Hikosaburo Komatsu

Opis

This proceedings volume features papers on the many facets of functional analysis and its applications in the research tradition of the late Professor Kosaku Yoshida. Many of the topics are related to linear and non-linear partial differential equations.

Spis treści

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.