arXiv:2103.03812 Abstract | arXiv Analytics

arXiv:2103.03812 [math.PR]Abstract References Reviews Resources

Absolute continuity of the solution to the stochastic Burgers equation

Published 2021-03-05Version 1

We prove the existence and the Besov regularity of the density of the solution to a general parabolic SPDE which includes the stochastic Burgers equation on an unbounded domain. We use an elementary approach based on the fractional integration by parts.

Categories: math.PR, math.AP

Keywords: stochastic burgers equation, absolute continuity, general parabolic spde, besov regularity, elementary approach

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