English

Spatial Sobolev regularity for stochastic Burgers equations with additive trace class noise

Probability 2021-11-02 v1 Functional Analysis

Abstract

In this article we investigate the spatial Sobolev regularity of mild solutions to stochastic Burgers equations with additive trace class noise. Our findings are based on a combination of suitable bootstrap-type arguments and a detailed analysis of the nonlinearity in the equation.

Keywords

Cite

@article{arxiv.1908.06128,
  title  = {Spatial Sobolev regularity for stochastic Burgers equations with additive trace class noise},
  author = {Arnulf Jentzen and Felix Lindner and Primož Pušnik},
  journal= {arXiv preprint arXiv:1908.06128},
  year   = {2021}
}

Comments

54 pages

R2 v1 2026-06-23T10:49:27.294Z