English

Existence of mild solution to stochastic extended Korteweg - de Vries equation

Analysis of PDEs 2017-08-15 v1 Probability

Abstract

In the paper we consider stochastic Korteweg - de Vries - type equation. We give sufficient conditions for the existence and uniqueness of local mild solution to the equation with additive noise. We discuss possibility of globalization of mild solution, as well.

Keywords

Cite

@article{arxiv.1708.03907,
  title  = {Existence of mild solution to stochastic extended Korteweg - de Vries equation},
  author = {Anna Karczewska and Maciej Szczeciński},
  journal= {arXiv preprint arXiv:1708.03907},
  year   = {2017}
}

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16 pages