On the second-order regularity of solutions to the parabolic p-Laplace equation
Abstract
In this paper, we study the second-order Sobolev regularity of solutions to the parabolic p-Laplace equation. For any p-parabolic function u, we show that D(|Du|p−2+s2Du) exists as a function and belongs to L2loc with s>−1 and 1
<∞. The range of s is sharp.
Main Authors
Format
Articles
Research article
Published
2022
Series
Subjects
Publication in research information system
Publisher
Birkhäuser
The permanent address of the publication
https://urn.fi/URN:NBN:fi:jyu-202203211978Use this for linking
Review status
Peer reviewed
ISSN
1424-3199
DOI
https://doi.org/10.1007/s00028-022-00760-3
Language
English
Published in
Journal of Evolution Equations
Citation
- Feng, Y., Parviainen, M., & Sarsa, S. (2022). On the second-order regularity of solutions to the parabolic p-Laplace equation. Journal of Evolution Equations, 22, Article 6. https://doi.org/10.1007/s00028-022-00760-3
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Additional information about funding
Yawen Feng was supported by China Scholarship Council, No. 202006020186. Saara Sarsa was supported by the Academy of Finland, the Centre of Excellence in Analysis and Dynamics Research and the Academy of Finland, Project 308759.
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