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Blowup versus global in time existence of solutions for nonlinear heat equations

Object's details: Blowup versus global in time existence of solutions for nonlinear heat equations

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Provider:Akademicka Platforma Czasopism

Description

Title:
Blowup versus global in time existence of solutions for nonlinear heat equations
Creator:
Biler, Piotr Cezary
Description:
This note is devoted to a simple proof of blowup of solutions for a nonlinear heat equation. The criterion for a blowup is expressed in terms of a Morrey space norm and is in a sense complementary to conditions guaranteeing the global in time existence of solutions. The method goes back to H. Fujita and extends to other nonlinear parabolic equations.
Object availability:
free access
Rights:
Prawa autorskie (c) 2018 Topological Methods in Nonlinear Analysis
Date:
2018.07.08
Type:
info:eu-repo/semantics/article;
info:eu-repo/semantics/publishedVersion;
Recenzowany artykuł
Language:
English
Source:
Topological Methods in Nonlinear Analysis; Vol 52, No 1 (September 2018); 147 - 160;
1230-3429
Publisher:
Nicolaus Copernicus University in Toruń
Relation: https://apcz.umk.pl/TMNA/article/view/TMNA.2018.013/15164 ;https://apcz.umk.pl/TMNA/article/view/TMNA.2018.013/15165
Subject:
Nonlinear heat equation;
blowup of solutions;
global existence of solutions;
35B44;
35K55
Identifier: https://apcz.umk.pl/TMNA/article/view/TMNA.2018.013
Data provider:
Akademicka Platforma Czasopism

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