PreprintCC BY 4.0arXiv
Harnack-type inequalities for nonlocal doubly nonlinear parabolic equations
Abstract
We establish intrinsic Harnack inequalities for nonlocal doubly nonlinear parabolic equations in the slow-diffusion range: (uq)t+ P.V. ∫ℝN(|u(x, t)−u(y, t)|p−2(u(x, t)−u(y, t)))/(|x−y|N+sp) dy=0, s∈(0,1), 0<q < p−1.
Related
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BibTeX
@misc{savchenko2026harnacktype,
title = {{Harnack-type inequalities for nonlocal doubly nonlinear parabolic equations}},
author = {Mariia Savchenko and Igor Skrypnik and Yevgeniia Yevgenieva},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2610.23261},
eprint = {2610.23261},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2610.23261},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - Harnack-type inequalities for nonlocal doubly nonlinear parabolic equations
AU - Mariia Savchenko
AU - Igor Skrypnik
AU - Yevgeniia Yevgenieva
PY - 2026
DA - 2026/10/16
PB - arXiv
DO - 10.48550/arxiv.2610.23261
UR - https://arxiv.org/abs/2610.23261
AB - We establish intrinsic Harnack inequalities for nonlocal doubly nonlinear parabolic equations in the slow-diffusion range: (u^q)_t+ P.V. ∫_ℝ^N(|u(x, t)−u(y, t)|^p−2(u(x, t)−u(y, t)))/(|x−y|^N+sp) dy=0, s∈(0,1), 0<q < p−1.
ER -