Local regularity for solutions to quasi-linear singular parabolic equations with anisotropic weights

Changxing Miao; Zhiwen Zhao

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arXiv · 2312.02875

Local regularity for solutions to quasi-linear singular parabolic equations with anisotropic weights

Changxing Miao·Zhiwen Zhao

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Abstract

This paper develops a concise procedure for the study on local behavior of solutions to anisotropically weighted quasi-linear singular parabolic equations of $p$-Laplacian type, which is realized by improving the energy inequalities and applying intrinsic scaling factor to the De Giorgi truncation method. In particular, it also presents a new proof for local H\"{o}lder continuity of the solution in the unweighted case.

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BibTeX RIS

Changxing Miao, Zhiwen Zhao. 2023-12-05. Local regularity for solutions to quasi-linear singular parabolic equations with anisotropic weights. https://arxiv.org/abs/2312.02875

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