Functional-Analytic Methods for Partial Differential Equations

Hiroshi Fujita

ISBN 10: 3540533931 / ISBN 13: 9783540533931

Verlag: Springer Berlin Heidelberg, Springer Berlin Heidelberg Nov 1990, 1990

Beschreibung

Neuware -Spectral concentration for dense point spectrum.- Behaviour of a semilinear periodic-parabolic problem when a parameter is small.- On smoothing property of Schr¿dinger 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 Schr¿dinger 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 Schr¿dinger evolution equations with electric fields.- Blow-up of solutions for the nonlinear Schr¿dinger equation with quartic potential and periodic boundary condition.Springer Verlag GmbH, Tiergartenstr. 17, 69121 Heidelberg 264 pp. Englisch. Bestandsnummer des Verkäufers 9783540533931

Bibliografische Details

Titel: Functional-Analytic Methods for Partial ...

Verlag: Springer Berlin Heidelberg, Springer Berlin Heidelberg Nov 1990

Erscheinungsdatum: 1990

Einband: Taschenbuch

Zustand: Neu

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Inhaltsangabe:

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.