On the regularity theory for mixed local and nonlocal quasilinear parabolic equations

Garain, Prashanta

Please use this identifier to cite or link to this item: https://dspace.iiti.ac.in/handle/123456789/13727

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DC Field	Value	Language
dc.contributor.author	Garain, Prashanta	en_US
dc.date.accessioned	2024-06-28T11:37:42Z	-
dc.date.available	2024-06-28T11:37:42Z	-
dc.date.issued	2024	-
dc.identifier.citation	Garain, P., & Kinnunen, J. (2024). On the regularity theory for mixed local and nonlocal quasilinear parabolic equations. Annali Della Scuola Normale Superiore Di Pisa - Classe Di Scienze. Scopus. https://doi.org/10.2422/2036-2145.202110_006	en_US
dc.identifier.issn	0391-173X	-
dc.identifier.other	EID(2-s2.0-85189365101)	-
dc.identifier.uri	https://doi.org/10.2422/2036-2145.202110_006	-
dc.identifier.uri	https://dspace.iiti.ac.in/handle/123456789/13727	-
dc.description.abstract	We consider mixed local and nonlocal quasilinear parabolic equations of p-Laplace type and discuss several regularity properties of weak solutions for such equations. More precisely, we establish local boundedness of weak subsolutions, lower semicontinuity of weak supersolutions as well as upper semicontinuity of weak subsolutions. We also discuss the pointwise behavior of the semicontinuous representatives. Our main results are valid for sign-changing solutions. Our approach is purely analytic and is based on energy estimates and the De Giorgi theory. © 2024 Scuola Normale Superiore. All rights reserved.	en_US
dc.language.iso	en	en_US
dc.publisher	Scuola Normale Superiore	en_US
dc.source	Annali della Scuola Normale Superiore di Pisa - Classe di Scienze	en_US
dc.title	On the regularity theory for mixed local and nonlocal quasilinear parabolic equations	en_US
dc.type	Journal Article	en_US
dc.rights.license	All Open Access, Green	-
Appears in Collections:	Department of Mathematics

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