Absolute continuity of the solution to the stochastic Burgers equation

Christian Olivera and Ciprian A. Tudor

Chaos, Solitons & Fractals, 2021, vol. 153, issue P2

Abstract: 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.

Keywords: Stochastic Burgers equation; Space-time white noise; Existence of the density; Besov spaces; Fractional integration by parts (search for similar items in EconPapers)
Date: 2021
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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:153:y:2021:i:p2:s0960077921009899

DOI: 10.1016/j.chaos.2021.111635

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