Fred B. Weissler

Rapidly decaying solutions of the nonlinear Schrödinger equation

AbstractWe consider global solutions of the nonlinear Schrödinger equation(NLS)

The structure of solutions to the pseudo-conformally invariant nonlinear Schrödinger equation

iu_t + \Delta u = \lambda |u|^\alpha u, in R^N ,

A Fujita-type blowup result and low energy scattering for a nonlinear Schrödinger equation

where λ∈R and

The nonlinear heat equation with high order mixed derivatives of the Dirac delta as initial values

0< \alpha< \frac{4}{{N - 2}}

Logarithmic Sobolev inequalities for the heat-diffusion semigroup

. In particular, for