Renormalized and entropy solutions for the fractional p-Laplacian parabolic equation with L^1 data
Analysis of PDEs
2017-08-17 v1
Abstract
In this paper we introduce a natural function class and prove the existence and uniqueness of both nonnegative renormalized solutions and entropy solutions for the fractional p-Laplacian parabolic problem with L^1 data. And moreover, we obtain the equivalence of renormalized solutions and entropy solutions and establish a comparison result.
Keywords
Cite
@article{arxiv.1708.04744,
title = {Renormalized and entropy solutions for the fractional p-Laplacian parabolic equation with L^1 data},
author = {Kaimin Teng and Chao Zhang and Shulin Zhou},
journal= {arXiv preprint arXiv:1708.04744},
year = {2017}
}
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33 pages