Harnack inequality for doubly nonlinear mixed local and nonlocal parabolic equations
Analysis of PDEs
2024-06-07 v1
Abstract
In this paper, we establish the Harnack inequality of nonnegative weak solutions to the doubly nonlinear mixed local and nonlocal parabolic equations. This result is obtained by combining a related comparison principle, a local boundedness estimate, and an integral Harnack-type inequality. Our proof is based on the expansion of positivity together with a comparison argument.
Keywords
Cite
@article{arxiv.2406.03889,
title = {Harnack inequality for doubly nonlinear mixed local and nonlocal parabolic equations},
author = {Vicentiu Radulescu and Bin Shang and Chao Zhang},
journal= {arXiv preprint arXiv:2406.03889},
year = {2024}
}