Functional-Analytic Methods for Partial Differential Equations

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November 1990



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.


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.
EAN: 9783540533931
ISBN: 3540533931
Untertitel: Proceedings of a Conference and a Symposium held in Tokyo, Japan, July 3-9, 1989. 1990. Auflage. Book. Sprache: Englisch.
Verlag: Springer
Erscheinungsdatum: November 1990
Seitenanzahl: 264 Seiten
Format: kartoniert
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