Higher integrability for doubly nonlinear parabolic systems

In this paper we establish a local higher integrability result for the spatial gradient of weak solutions to doubly nonlinear parabolic systems. The proof is based on a new intrinsic scaling that involves both the solution and its spatial gradient. It allows to compensate for the different scaling o...

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Detalles Bibliográficos
Autores principales: Bögelein, Verena, Duzaar, Frank, Scheven, Christoph
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer International Publishing 2022
Materias:
Original Paper
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC9579122/
https://www.ncbi.nlm.nih.gov/pubmed/36275331
http://dx.doi.org/10.1007/s42985-022-00204-0
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author Bögelein, Verena
Duzaar, Frank
Scheven, Christoph
author_facet Bögelein, Verena
Duzaar, Frank
Scheven, Christoph
author_sort Bögelein, Verena
collection PubMed
description In this paper we establish a local higher integrability result for the spatial gradient of weak solutions to doubly nonlinear parabolic systems. The proof is based on a new intrinsic scaling that involves both the solution and its spatial gradient. It allows to compensate for the different scaling of the system in |u| and |Du|. The result covers the range of parameters [Formula: see text] and [Formula: see text] .
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spelling pubmed-95791222022-10-20 Higher integrability for doubly nonlinear parabolic systems Bögelein, Verena Duzaar, Frank Scheven, Christoph SN Partial Differ Equ Appl Original Paper In this paper we establish a local higher integrability result for the spatial gradient of weak solutions to doubly nonlinear parabolic systems. The proof is based on a new intrinsic scaling that involves both the solution and its spatial gradient. It allows to compensate for the different scaling of the system in |u| and |Du|. The result covers the range of parameters [Formula: see text] and [Formula: see text] . Springer International Publishing 2022-10-18 2022 /pmc/articles/PMC9579122/ /pubmed/36275331 http://dx.doi.org/10.1007/s42985-022-00204-0 Text en © The Author(s) 2022 https://creativecommons.org/licenses/by/4.0/Open AccessThis article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons licence, and indicate if changes were made. The images or other third party material in this article are included in the article’s Creative Commons licence, unless indicated otherwise in a credit line to the material. If material is not included in the article’s Creative Commons licence and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. To view a copy of this licence, visit http://creativecommons.org/licenses/by/4.0/ (https://creativecommons.org/licenses/by/4.0/) .
spellingShingle Original Paper
Bögelein, Verena
Duzaar, Frank
Scheven, Christoph
Higher integrability for doubly nonlinear parabolic systems
title Higher integrability for doubly nonlinear parabolic systems
title_full Higher integrability for doubly nonlinear parabolic systems
title_fullStr Higher integrability for doubly nonlinear parabolic systems
title_full_unstemmed Higher integrability for doubly nonlinear parabolic systems
title_short Higher integrability for doubly nonlinear parabolic systems
title_sort higher integrability for doubly nonlinear parabolic systems
topic Original Paper
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC9579122/
https://www.ncbi.nlm.nih.gov/pubmed/36275331
http://dx.doi.org/10.1007/s42985-022-00204-0
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