Regularity for anisotropic quasi-linear parabolic equations with variable growth

Regularity for anisotropic quasi-linear parabolic equations with variable growth

In this article, we study a class of anisotropic quasi-linear parabolic equations with variable exponents. Following DiBenedetto's intrinsic scaling method, we prove local continuity of solutions under the condition for which only local boundedness was known.

Bibliographic Details
Main Author: Hamid El Bahja
Format: Article
Language:English
Published: Texas State University 2019-09-01
Series:Electronic Journal of Differential Equations
Subjects:
Anisotropic parabolic problems
regularity theory
intrinsic scaling
Online Access:http://ejde.math.txstate.edu/Volumes/2019/104/abstr.html

Internet

http://ejde.math.txstate.edu/Volumes/2019/104/abstr.html

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