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Renormalized and entropy solutions for the fractional p-Laplacian evolution equations

Renormalized and entropy solutions for the fractional p-Laplacian evolution equations In this paper, we prove the existence and uniqueness of both nonnegative renormalized and entropy solutions for the fractional p-Laplacian evolution problems with nonnegative $$L^1$$ L 1 data. In addition, we obtain the equivalence of renormalized and entropy solutions and establish a comparison result. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Journal of Evolution Equations Springer Journals

Renormalized and entropy solutions for the fractional p-Laplacian evolution equations

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References (61)

Publisher
Springer Journals
Copyright
Copyright © 2019 by Springer Nature Switzerland AG
Subject
Mathematics; Analysis
ISSN
1424-3199
eISSN
1424-3202
DOI
10.1007/s00028-019-00486-9
Publisher site
See Article on Publisher Site

Abstract

In this paper, we prove the existence and uniqueness of both nonnegative renormalized and entropy solutions for the fractional p-Laplacian evolution problems with nonnegative $$L^1$$ L 1 data. In addition, we obtain the equivalence of renormalized and entropy solutions and establish a comparison result.

Journal

Journal of Evolution EquationsSpringer Journals

Published: Jan 21, 2019

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