Work

Harnack-type inequalities for nonlocal parabolic equations in the upper fast-diffusion range

Year: 2026

Type: preprint

Abstract: We study non-negative weak solutions to a class of doubly nonlinear nonlocal parabolic equations of the form $$ (u^q)_t+\mathcal Lu=0, $$ where $\mathcal L$ is a nonlocal $p$-Laplace-type operator with a symmetric measurable kernel. We consider the fast-diffusion range $1

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.2610.29553

Authors: Savchenko, Mariia, Skrypnik, Igor, Yevgenieva, Yevgeniia

Institutions: National Academy of Sciences of Ukraine, Institute of Applied Mathematics and Mechanics, Max Planck Institute for Dynamics of Complex Technical Systems

Language: English

Topic: Nonlinear Partial Differential Equations

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

Funder: National Research Foundation of Ukraine

Awards: G5206891976, G8091999994

OpenAlex ID: W7223238270

Cites: 37

Cited by: 1

Related to: 10