Zhang, Deng: Stochastic nonlinear Schrödinger equation. 2014
Inhalt
- Preface
- 0 Introduction
- 1 The well-posedness in L2(Rd)
- 1.1 Preliminaries
- 1.2 Local existence, uniqueness and blowup alternative
- 1.2.1 Evolution operator and Strichartz estimate
- 1.2.2 Weak and mild equations
- 1.2.3 Subcritical case
- 1.2.4 Critical case
- 1.3 Global well-posedness
- 1.4 Notes
- 2 The well-posedness in H1(Rd)
- 2.1 Preliminaries
- 2.2 Local existence, uniqueness and blowup alternative
- 2.3 Global well-posedness
- 2.4 Notes
- 3 The noise effects on blowup in the non-conservative case
- Bibliography
- Notation