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

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.

54 pages

References in corpus (2)

• Strong convergence for explicit space-time discrete numerical approximation methods for stochastic Burgers equations
• On the Alekseev-Gröbner formula in Banach spaces

Cited by in corpus (1)

• Viscous scalar conservation law with stochastic forcing: strong solution and invariant measure