Functional Analytic Methods for Partial Differential Equations : Proceedings of a Conference and a Symposium held in Tokyo Japan July 3–9 1989 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.