Functional-Analytic Methods for Partial Differential Equations
Proceedings of a Conference and a Symposium held in Tokyo, Japan, July 3-9, 1989
Published on 28. November 1990
Book
Paperback/Softback
X, 258 pages
978-3-540-53393-1 (ISBN)
Description
In these meetings, which were held in honour of Professor Tosio Kato on his retirement, the focus was on the interplay of functional analysis and partial differential equations. Thus, the study of Schrodinger operators, from the viewpoints of evolution equations and spectral theory, is one major subject, while functional analytic studies of nonlinear PDEs, including Navier-Stokes, KdV and other equations, constitutes another main theme. Papers on these linear and nonlinear problems are linked through their methods and types of approach.
More details
Series
Edition
1990 ed.
Language
English
Place of publication
Berlin
Germany
Publishing group
Springer Berlin
Target group
Professional and scholarly
Research
Illustrations
X, 258 p.
Dimensions
Height: 235 mm
Width: 155 mm
Thickness: 15 mm
Weight
406 gr
ISBN-13
978-3-540-53393-1 (9783540533931)
DOI
10.1007/BFb0084893
Schweitzer Classification
Content
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.