On the weak Harnack inequality for unbounded non-negative super-solutions of degenerate double-phase parabolic equations

Fuente: arXiv
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Autori principali: Savchenko, Mariia, Skrypnik, Igor, Yevgenieva, Yevgeniia
Natura: Preprint
Pubblicazione: 2023
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author Savchenko, Mariia
Skrypnik, Igor
Yevgenieva, Yevgeniia
author_facet Savchenko, Mariia
Skrypnik, Igor
Yevgenieva, Yevgeniia
contents In the case $q> p\dfrac{n+2}{n}$, we give a proof of the weak Harnack inequality for non-negative super-solutions of degenerate double-phase parabolic equations under the additional assumption that $u\in L^{s}_{loc}(Ω_{T})$ with some $s >p\dfrac{n+2}{n}$.
format Preprint
id arxiv_https___arxiv_org_abs_2305_13053
institution arXiv
publishDate 2023
record_format arxiv
spellingShingle On the weak Harnack inequality for unbounded non-negative super-solutions of degenerate double-phase parabolic equations
Savchenko, Mariia
Skrypnik, Igor
Yevgenieva, Yevgeniia
Analysis of PDEs
35B40, 35B45, 35B65
In the case $q> p\dfrac{n+2}{n}$, we give a proof of the weak Harnack inequality for non-negative super-solutions of degenerate double-phase parabolic equations under the additional assumption that $u\in L^{s}_{loc}(Ω_{T})$ with some $s >p\dfrac{n+2}{n}$.
title On the weak Harnack inequality for unbounded non-negative super-solutions of degenerate double-phase parabolic equations
topic Analysis of PDEs
35B40, 35B45, 35B65
url https://arxiv.org/abs/2305.13053