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

Autor:	Miao, Changxing, Zhao, Zhiwen
Rok vydání:	2023
Předmět:	Mathematics - Analysis of PDEs
Druh dokumentu:	Working Paper
Popis:	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. Comment: We achieve a concise and elegant proof by improving the energy inequalities and applying the redefined intrinsic scaling factor to the De Giorgi truncation method
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2312.02875 Zobrazit plný text záznamu View this record from Arxiv