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On long time behavior for stochastic nonlinear Schr\"odinger equations with a multiplicative noise

Analysis of PDEs 2020-10-22 v1 Probability

Abstract

In this article, we study Stochastic mass critical nonlinear Schr\"odinger equations with a multiplicative noise in 3D with a slight time decay (tϵ\langle t \rangle^{-\epsilon}), and prove associated space-time bound and scattering behavior.

Keywords

Cite

@article{arxiv.2010.11045,
  title  = {On long time behavior for stochastic nonlinear Schr\"odinger equations with a multiplicative noise},
  author = {Chenjie Fan and Zehua Zhao},
  journal= {arXiv preprint arXiv:2010.11045},
  year   = {2020}
}

Comments

22 pages. All comments are welcome