Harnack’s inequality for doubly nonlinear equations of slow diffusion type

In this article we prove a Harnack inequality for non-negative weak solutions to doubly nonlinear parabolic equations of the form [Formula: see text] where the vector field [Formula: see text] fulfills p-ellipticity and growth conditions. We treat the slow diffusion case in its full range, i.e. all...

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Autores principales: Bögelein, Verena, Heran, Andreas, Schätzler, Leah, Singer, Thomas
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer Berlin Heidelberg 2021
Materias:
Article
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC8545765/
https://www.ncbi.nlm.nih.gov/pubmed/34720445
http://dx.doi.org/10.1007/s00526-021-02044-z
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author Bögelein, Verena
Heran, Andreas
Schätzler, Leah
Singer, Thomas
author_facet Bögelein, Verena
Heran, Andreas
Schätzler, Leah
Singer, Thomas
author_sort Bögelein, Verena
collection PubMed
description In this article we prove a Harnack inequality for non-negative weak solutions to doubly nonlinear parabolic equations of the form [Formula: see text] where the vector field [Formula: see text] fulfills p-ellipticity and growth conditions. We treat the slow diffusion case in its full range, i.e. all exponents [Formula: see text] and [Formula: see text] with [Formula: see text] are included in our considerations.
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spelling pubmed-85457652021-10-29 Harnack’s inequality for doubly nonlinear equations of slow diffusion type Bögelein, Verena Heran, Andreas Schätzler, Leah Singer, Thomas Calc Var Partial Differ Equ Article In this article we prove a Harnack inequality for non-negative weak solutions to doubly nonlinear parabolic equations of the form [Formula: see text] where the vector field [Formula: see text] fulfills p-ellipticity and growth conditions. We treat the slow diffusion case in its full range, i.e. all exponents [Formula: see text] and [Formula: see text] with [Formula: see text] are included in our considerations. Springer Berlin Heidelberg 2021-08-27 2021 /pmc/articles/PMC8545765/ /pubmed/34720445 http://dx.doi.org/10.1007/s00526-021-02044-z Text en © The Author(s) 2021 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 Article
Bögelein, Verena
Heran, Andreas
Schätzler, Leah
Singer, Thomas
Harnack’s inequality for doubly nonlinear equations of slow diffusion type
title Harnack’s inequality for doubly nonlinear equations of slow diffusion type
title_full Harnack’s inequality for doubly nonlinear equations of slow diffusion type
title_fullStr Harnack’s inequality for doubly nonlinear equations of slow diffusion type
title_full_unstemmed Harnack’s inequality for doubly nonlinear equations of slow diffusion type
title_short Harnack’s inequality for doubly nonlinear equations of slow diffusion type
title_sort harnack’s inequality for doubly nonlinear equations of slow diffusion type
topic Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC8545765/
https://www.ncbi.nlm.nih.gov/pubmed/34720445
http://dx.doi.org/10.1007/s00526-021-02044-z
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