Laboratory of Mathematical Analysis and Applications
CeReMAR, Department of Mathematics, P.O. Box 1014
Faculty of Sciences, Mohammed V University, Rabat, Morocco
email: hamidsm88@gmail.com
Hamid El Bahja
Abstract:
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.
Submitted July 10, 2018. Published September 10, 2019.
Math Subject Classifications: 35K20, 35K65, 35B45.
Key Words: Anisotropic parabolic problems; regularity theory; intrinsic scaling.
Show me the PDF file (375 KB), TEX file for this article.
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Hamid El Bahja Laboratory of Mathematical Analysis and Applications CeReMAR, Department of Mathematics, P.O. Box 1014 Faculty of Sciences, Mohammed V University, Rabat, Morocco email: hamidsm88@gmail.com |
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