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Well-Posedness of Stochastic Chemotaxis System

Probability 2024-11-05 v1

Abstract

In this paper, we establish the existence and uniqueness of solutions of elliptic-parabolic stochastic Keller-Segel systems. The solution is obtained through a carefully designed localization procedure together with some a priori estimates. Both noise of linear growth and nonlinear noise are considered. The Lp Ito formula plays an important role.

Keywords

Cite

@article{arxiv.2411.01847,
  title  = {Well-Posedness of Stochastic Chemotaxis System},
  author = {Yunfeng Chen and Jianliang Zhai and Tusheng Zhang},
  journal= {arXiv preprint arXiv:2411.01847},
  year   = {2024}
}

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30 pages