Critical exponent for the global existence of solutions to a semilinear heat equation with degenerate coefficients
type: Item
instance of: scholarly article
title: Critical exponent for the global existence of solutions to a semilinear heat equation with degenerate coefficients
zbMATH Open document ID: 1419.35122
author: Yohei Fujishima
author: Tatsuki Kawakami
author: Yannick Sire
published in: Calculus of Variations and Partial Differential Equations
publication date: 2019-03-21T00:00:00Z
review text: The authors investigate a non-homogeneous semilinear parabolic equation which has degenerate weights coeffients in two types. According to the models, they show the non-existence of nontrivial global-in-time solutions under the assumptions in Theorem 1.1, while they give also sufficient conditions for the existence of global in time solution (unique) in Theorem 1.2.
Mathematics Subject Classification ID: 35K58
Mathematics Subject Classification ID: 35B33
Mathematics Subject Classification ID: 35K65
zbMATH DE Number: 7039869
zbMATH Keywords: semilinear parabolic equations
zbMATH Keywords: critical exponent
zbMATH Keywords: global in time solutions
reviewed by: Fatma Gamze Duzgun
Wikidata QID: Q115387180
MaRDI profile type: Publication
full work available at URL: s00526-019-1525-0
OpenAlex ID: W2923673881
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DOI: 10.1007/S00526-019-1525-0
description: scientific article; zbMATH DE number 7039869