Uniqueness of the nonlinear Schrödinger Equation driven by jump processes

2018/05/28 by Hausenblas, Erika, de Bouard, Anne, Ondrejat, Martin
#60G57 #60H15 #FOS: Mathematics #Probability (math.PR)

paper · doi:10.48550/arxiv.1805.10797

Abstract

In a recent paper by the first two named authors, existence of martingale solutions to a stochastic nonlinear Schrödinger equation driven by a Lévy noise was proved. In this paper, we prove pathwise uniqueness, uniqueness in law and existence of strong solutions to this problem using an abstract uniqueness result of Kurtz.

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