The stochastic nonlinear Schrödinger equations driven by pure jump noise

2022/07/08 by Wang, Jian, Zhai, Jianliang, Zhu, Jiahui
#Analysis of PDEs (math.AP) #FOS: Mathematics #Probability (math.PR)

paper · doi:10.48550/arxiv.2207.03719

Abstract

In this paper, we establish the existence and uniqueness of solutions of stochastic nonlinear Schrödinger equations with additive jump noise in L²(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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