PDE Seminar Abstracts

Global solutions of nonlinear stochastic Schrödinger equations

Lutz Weis
Karlsruhe Institute of Technology, Germany
Fri 7th Dec 2018, 2-3pm, Carslaw Room 829 (AGR)

Abstract

We present existence and uniqueness theorems for the nonlinear stochastic Schrödinger equation on n and on compact manifolds. In particular we explain the Strichartz estimates and spectrally localized estimates needed for the proofs and the role of Lp spectral multiplier theorems play in this context.