论文标题
由纯跳噪声驱动的随机非线性schrödinger方程
The stochastic nonlinear Schrödinger equations driven by pure jump noise
论文作者
论文摘要
在本文中，我们确定了在$ l^2（\ Mathbb {r}^d）$中具有附加跳跃噪声的随机非线性schrödinger方程解决方案的存在和独特性。我们的结果涵盖了在确定性情况下的全部亚临界范围内的所有聚焦或偶然非线性。
In this paper, we establish the existence and uniqueness of solutions of stochastic nonlinear Schrödinger 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.
