Harnack inequality for doubly nonlinear mixed local and nonlocal parabolic equations

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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.

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Rădulescu et al. (Thu,) studied this question.

synapsesocial.com/papers/68e65d24b6db6435875ec089 https://doi.org/https://doi.org/10.48550/arxiv.2406.03889

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