Functional-Analytic Methods for Partial Differential Equations: Proceedings of a Conference and a Symposium Held in Tokyo, Japan, July 3-9, 1989

ISBN-13: 9783540533931 / Angielski / Miękka / 1990 / 258 str.

Hiroshi Fujita; Teruo Ikebe; Shige T. Kuroda

Opis

The proceedings of a conference which focused on the interplay between functional analysis and partial differential equations. Topics discussed included Schrodinger operators and nonlinear PDEs, including Navier-Stokes, KdV and other equations.

Spis treści

Spectral concentration for dense point spectrum.- Behaviour of a semilinear periodic-parabolic problem when a parameter is small.- On smoothing property of Schrödinger propagators.- A coin tossing problem of R. L. Rivest.- Liapunov functions and monotonicity in the Navier-Stokes equation.- Singular solutions of a nonlinear elliptic equation and an infinite dimensional dynamical system.- to geometric potential theory.- KDV, BO and friends in weighted Sobolev spaces.- The square root problem for elliptic operators a survey.- The initial value problem for a class of nonlinear dispersive equations.- On Schrödinger operators with magnetic fields.- Existence of bound states for double well potentials and the Efimov effect.- High energy asymptotics for the total scattering phase in potential scattering theory.- Feynman path integral to relativistic quantum mechanics.- On the distribution of poles of the scattering matrix for several convex bodies.- Smoothing effect for the Schrödinger evolution equations with electric fields.- Blow-up of solutions for the nonlinear Schrödinger equation with quartic potential and periodic boundary condition.