Functional-analytic Methods For Partial Differential Equations: Proceedings Of A Conference And A Symposium Held In Tokyo, Japan, July 3-9, 1989 (lecture Notes In Mathematics)

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. Spectral concentration for dense point spectrum....Pages 1-11 Behaviour of a semilinear periodic-parabolic problem when a parameter is small....Pages 12-19 On smoothing property of Schrödinger propagators....Pages 20-35 A coin tossing problem of R. L. Rivest....Pages 36-52 Liapunov functions and monotonicity in the Navier-Stokes equation....Pages 53-63 Singular solutions of a nonlinear elliptic equation and an infinite dimensional dynamical system....Pages 64-87 Introduction to geometric potential theory....Pages 88-103 KDV, BO and friends in weighted Sobolev spaces....Pages 104-121 The square root problem for elliptic operators a survey....Pages 122-140 The initial value problem for a class of nonlinear dispersive equations....Pages 141-156 On Schrödinger operators with magnetic fields....Pages 157-172 Existence of bound states for double well potentials and the Efimov effect....Pages 173-186 High energy asymptotics for the total scattering phase in potential scattering theory....Pages 187-195 Feynman path integral to relativistic quantum mechanics....Pages 196-209 On the distribution of poles of the scattering matrix for several convex bodies....Pages 210-225 Smoothing effect for the Schrödinger evolution equations with electric fields....Pages 226-235 Blow-up of solutions for the nonlinear Schrödinger equation with quartic potential and periodic boundary condition....Pages 236-251 Proceedings of the International Conference on Functional Analysis and Its Application in Honor of Professor Tosio Kato, July 3-6, 1989, University of Tokyo, and the Symposium on Spectral and Scattering Theory, held July 7, 1989, at Gakushin University, Tokyo 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.