Uniqueness of renormalized solutions for a class of parabolic equations with unbounded nonlinearities

We prove uniqueness and a comparison principle of renormalized solutions for a class of doubly nonlinear parabolic equations ∂b(x,u)/∂t − div(A(t, x)Du + Φ(u)) = f, where the right side belongs to L1((0, T) × Ω) and where b(x, u) is unbounded function of u and where A(t, x) is a bounded symmetric an...

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Auteur principal:	Hicham Redwane
Format:	article
Langue:	EN FR IT
Publié:	Sapienza Università Editrice 2008
Sujets:	nonlinear parabolic equations uniqueness renormalized solutions Mathematics QA1-939
Accès en ligne:	https://doaj.org/article/38921a86a4f9409db04c2bffaa4d656a
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spelling	oai:doaj.org-article:38921a86a4f9409db04c2bffaa4d656a2021-11-29T17:15:45ZUniqueness of renormalized solutions for a class of parabolic equations with unbounded nonlinearities1120-71832532-3350https://doaj.org/article/38921a86a4f9409db04c2bffaa4d656a2008-01-01T00:00:00Zhttps://www1.mat.uniroma1.it/ricerca/rendiconti/ARCHIVIO/2008(2)/189-200.pdfhttps://doaj.org/toc/1120-7183https://doaj.org/toc/2532-3350We prove uniqueness and a comparison principle of renormalized solutions for a class of doubly nonlinear parabolic equations ∂b(x,u)/∂t − div(A(t, x)Du + Φ(u)) = f, where the right side belongs to L1((0, T) × Ω) and where b(x, u) is unbounded function of u and where A(t, x) is a bounded symmetric and coercive matrix, and Φ is continuous function but without any growth assumption on u.Hicham RedwaneSapienza Università Editricearticlenonlinear parabolic equationsuniquenessrenormalized solutionsMathematicsQA1-939ENFRITRendiconti di Matematica e delle Sue Applicazioni, Vol 28, Iss 2, Pp 189-200 (2008)
institution	DOAJ
collection	DOAJ
language	EN FR IT
topic	nonlinear parabolic equations uniqueness renormalized solutions Mathematics QA1-939
spellingShingle	nonlinear parabolic equations uniqueness renormalized solutions Mathematics QA1-939 Hicham Redwane Uniqueness of renormalized solutions for a class of parabolic equations with unbounded nonlinearities
description	We prove uniqueness and a comparison principle of renormalized solutions for a class of doubly nonlinear parabolic equations ∂b(x,u)/∂t − div(A(t, x)Du + Φ(u)) = f, where the right side belongs to L1((0, T) × Ω) and where b(x, u) is unbounded function of u and where A(t, x) is a bounded symmetric and coercive matrix, and Φ is continuous function but without any growth assumption on u.
format	article
author	Hicham Redwane
author_facet	Hicham Redwane
author_sort	Hicham Redwane
title	Uniqueness of renormalized solutions for a class of parabolic equations with unbounded nonlinearities
title_short	Uniqueness of renormalized solutions for a class of parabolic equations with unbounded nonlinearities
title_full	Uniqueness of renormalized solutions for a class of parabolic equations with unbounded nonlinearities
title_fullStr	Uniqueness of renormalized solutions for a class of parabolic equations with unbounded nonlinearities
title_full_unstemmed	Uniqueness of renormalized solutions for a class of parabolic equations with unbounded nonlinearities
title_sort	uniqueness of renormalized solutions for a class of parabolic equations with unbounded nonlinearities
publisher	Sapienza Università Editrice
publishDate	2008
url	https://doaj.org/article/38921a86a4f9409db04c2bffaa4d656a
work_keys_str_mv	AT hichamredwane uniquenessofrenormalizedsolutionsforaclassofparabolicequationswithunboundednonlinearities
_version_	1718407216861544448

Uniqueness of renormalized solutions for a class of parabolic equations with unbounded nonlinearities

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