The stochastic nonlinear Schrödinger equations driven by pure jump noise

Jian Wang, Jianliang Zhai and Jiahui Zhu

Statistics & Probability Letters, 2023, vol. 197, issue C

Abstract: In this paper, we establish the existence and uniqueness of solutions of stochastic nonlinear Schrödinger equations with additive jump noise in L2(Rd). Our results cover all either focusing or defocusing nonlinearity in the full subcritical range of exponents as in the deterministic case.

Keywords: Nonlinear Schrödinger equation; Stochastic Strichartz estimate; Pure jump noise (search for similar items in EconPapers)
Date: 2023
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DOI: 10.1016/j.spl.2023.109810

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