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arXiv · 2207.03719

The stochastic nonlinear Schr\"{o}dinger equations driven by pure jump noise

Jian Wang·Jianliang Zhai·Jiahui Zhu
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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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Jian Wang, Jianliang Zhai, Jiahui Zhu. 2022-07-08. The stochastic nonlinear Schr\"{o}dinger equations driven by pure jump noise. https://arxiv.org/abs/2207.03719

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