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Harnack Inequality for Mixed Local and Nonlocal Parabolic p-Laplace Equations.

Authors :
Shang, Bin
Zhang, Chao
Source :
Journal of Geometric Analysis; Apr2023, Vol. 33 Issue 4, p1-24, 24p
Publication Year :
2023

Abstract

We study the parabolic equations involving local and nonlocal p-Laplace-type operators. Under the assumption that 2 < p < ∞ , an intrinsic Harnack inequality of nonnegative weak solutions to such problem is established by employing the energy estimates, De Giorgi lemma, and measure theoretical argument. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
10506926
Volume :
33
Issue :
4
Database :
Complementary Index
Journal :
Journal of Geometric Analysis
Publication Type :
Academic Journal
Accession number :
161655554
Full Text :
https://doi.org/10.1007/s12220-022-01173-x