Absolute continuity of the solution to the stochastic Burgers equation

Olivera, Christian; Tudor, Ciprian A.

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(Reference retrieved automatically from Web of Science through information on FAPESP grant and its corresponding number as mentioned in the publication by the authors.)

Absolute continuity of the solution to the stochastic Burgers equation

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Author(s):	Olivera, Christian ^[1] ; Tudor, Ciprian A. ^[2] Total Authors: 2
Affiliation:	^[1] Univ Estadual Campinas, Dept Matemat, BR-13081970 Campinas, SP - Brazil ^[2] Univ Lille, CNRS, Lab Paul Painleve, UMR 8524, F-59655 Villeneuve Dascq - France Total Affiliations: 2
Document type:	Journal article
Source:	CHAOS SOLITONS & FRACTALS; v. 153, n. 2 DEC 2021.
Web of Science Citations:	0
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. (c) 2021 Elsevier Ltd. All rights reserved. (AU)

FAPESP's process:	20/15691-2 - Analytical and probabilistic aspects of irregular models
Grantee:	Christian Horacio Olivera
Support Opportunities:	Regular Research Grants


FAPESP's process:	20/04426-6 - Stochastic dynamics: analytical and geometrical aspects with applications
Grantee:	Paulo Regis Caron Ruffino
Support Opportunities:	Research Projects - Thematic Grants

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