Existence of solutions to a fractional semilinear heat equation in uniformly local weak Zygmund type spaces

Fuente: arXiv
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Autori principali: Ioku, Norisuke, Ishige, Kazuhiro, Kawakami, Tatsuki
Natura: Preprint
Pubblicazione: 2024
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author Ioku, Norisuke
Ishige, Kazuhiro
Kawakami, Tatsuki
author_facet Ioku, Norisuke
Ishige, Kazuhiro
Kawakami, Tatsuki
contents In this paper we introduce uniformly local weak Zygmund type spaces, and obtain an optimal sufficient condition for the existence of solutions to the critical fractional semilinear heat equation.
format Preprint
id arxiv_https___arxiv_org_abs_2402_14319
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Existence of solutions to a fractional semilinear heat equation in uniformly local weak Zygmund type spaces
Ioku, Norisuke
Ishige, Kazuhiro
Kawakami, Tatsuki
Analysis of PDEs
In this paper we introduce uniformly local weak Zygmund type spaces, and obtain an optimal sufficient condition for the existence of solutions to the critical fractional semilinear heat equation.
title Existence of solutions to a fractional semilinear heat equation in uniformly local weak Zygmund type spaces
topic Analysis of PDEs
url https://arxiv.org/abs/2402.14319