The stochastic nonlinear Schrödinger equations driven by pure jump noise

Published 8 Jul 2022 in math.PR and math.AP | (2207.03719v1)

Abstract: In this paper, we establish the existence and uniqueness of solutions of stochastic nonlinear Schr\"{o}dinger equations with additive jump noise in $L^{2(\mathbb{R}^d)$.} Our results cover all either focusing or defocusing nonlinearity in the full subcritical range of exponents as in the deterministic case.

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