Existence and stability of the doubly nonlinear anisotropic parabolic equation

In this paper, we are concerned with a doubly nonlinear anisotropic parabolic equation, in which the diffusion coefficient and the variable exponent depend on the time variable t. Under certain conditions, the existence of weak solution is proved by applying the parabolically regularized method. Bas...

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Detalles Bibliográficos
Autores principales: Zhan, Huashui, Feng, Zhaosheng
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Elsevier Inc. 2021
Materias:
Article
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC7733552/
https://www.ncbi.nlm.nih.gov/pubmed/33343038
http://dx.doi.org/10.1016/j.jmaa.2020.124850
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author Zhan, Huashui
Feng, Zhaosheng
author_facet Zhan, Huashui
Feng, Zhaosheng
author_sort Zhan, Huashui
collection PubMed
description In this paper, we are concerned with a doubly nonlinear anisotropic parabolic equation, in which the diffusion coefficient and the variable exponent depend on the time variable t. Under certain conditions, the existence of weak solution is proved by applying the parabolically regularized method. Based on a partial boundary value condition, the stability of weak solution is also investigated.
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spelling pubmed-77335522020-12-14 Existence and stability of the doubly nonlinear anisotropic parabolic equation Zhan, Huashui Feng, Zhaosheng J Math Anal Appl Article In this paper, we are concerned with a doubly nonlinear anisotropic parabolic equation, in which the diffusion coefficient and the variable exponent depend on the time variable t. Under certain conditions, the existence of weak solution is proved by applying the parabolically regularized method. Based on a partial boundary value condition, the stability of weak solution is also investigated. Elsevier Inc. 2021-05-01 2020-12-13 /pmc/articles/PMC7733552/ /pubmed/33343038 http://dx.doi.org/10.1016/j.jmaa.2020.124850 Text en © 2020 Elsevier Inc. All rights reserved. Since January 2020 Elsevier has created a COVID-19 resource centre with free information in English and Mandarin on the novel coronavirus COVID-19. The COVID-19 resource centre is hosted on Elsevier Connect, the company's public news and information website. Elsevier hereby grants permission to make all its COVID-19-related research that is available on the COVID-19 resource centre - including this research content - immediately available in PubMed Central and other publicly funded repositories, such as the WHO COVID database with rights for unrestricted research re-use and analyses in any form or by any means with acknowledgement of the original source. These permissions are granted for free by Elsevier for as long as the COVID-19 resource centre remains active.
spellingShingle Article
Zhan, Huashui
Feng, Zhaosheng
Existence and stability of the doubly nonlinear anisotropic parabolic equation
title Existence and stability of the doubly nonlinear anisotropic parabolic equation
title_full Existence and stability of the doubly nonlinear anisotropic parabolic equation
title_fullStr Existence and stability of the doubly nonlinear anisotropic parabolic equation
title_full_unstemmed Existence and stability of the doubly nonlinear anisotropic parabolic equation
title_short Existence and stability of the doubly nonlinear anisotropic parabolic equation
title_sort existence and stability of the doubly nonlinear anisotropic parabolic equation
topic Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC7733552/
https://www.ncbi.nlm.nih.gov/pubmed/33343038
http://dx.doi.org/10.1016/j.jmaa.2020.124850
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