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arXiv · 1708.04744

Renormalized and entropy solutions for the fractional p-Laplacian parabolic equation with L^1 data

Kaimin Teng·Chao Zhang·Shulin Zhou
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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.

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Kaimin Teng, Chao Zhang, Shulin Zhou. 2017-08-16. Renormalized and entropy solutions for the fractional p-Laplacian parabolic equation with L^1 data. https://arxiv.org/abs/1708.04744

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