Research reports

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

by A. Jentzen and F. Lindner and P. Pušnik

(Report number 2019-49)

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:

BibTeX
@Techreport{JLP19_853,
  author = {A. Jentzen and F. Lindner and P. Pušnik},
  title = {Spatial Sobolev regularity for stochastic Burgers equations with additive trace class noise},
  institution = {Seminar for Applied Mathematics, ETH Z{\"u}rich},
  number = {2019-49},
  address = {Switzerland},
  url = {https://www.sam.math.ethz.ch/sam_reports/reports_final/reports2019/2019-49.pdf },
  year = {2019}
}

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