Uniqueness of the nonlinear Schr\"odinger Equation driven by jump processes

Erika Hausenblas; Anne de Bouard; Martin Ondrejat

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arXiv · 1805.10797

Uniqueness of the nonlinear Schr\"odinger Equation driven by jump processes

Erika Hausenblas·Anne de Bouard·Martin Ondrejat

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Abstract

In a recent paper by the first two named authors, existence of martingale solutions to a stochastic nonlinear Schr\"odinger equation driven by a L\'evy 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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Erika Hausenblas, Anne de Bouard, Martin Ondrejat. 2018-05-28. Uniqueness of the nonlinear Schr\"odinger Equation driven by jump processes. https://arxiv.org/abs/1805.10797

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