Uniqueness of the nonlinear Schrödinger Equation driven by jump processes

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.

References in corpus (2)

• The Yamada-Watanabe Theorem for mild solutions to stochastic partial differential equations
• The nonlinear Schrödinger Equation driven by jump processes