Blow-up for two nonlinear problems
type: Item
instance of: scholarly article
title: Blow-up for two nonlinear problems
zbMATH Open document ID: 0980.35076
DOI: 10.1016/S0362-546X(98)00312-5
author: Arthur Ramiandrisoa
published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods
publication date: 2000-11-06T00:00:00Z
review text: The paper investigates the blow-up set of a first initial-boundary value problem for a multidimensional semilinear heat equation subject to some initial condition and a zero boundary condition. The blow-up of the \(L^q(\Omega)\)-norm for \(q\) large enough, and the complete blow-up were studied. The maximum principle and the parabolic version of Hopf's lemma for uniformly parabolic operator were used. A multidimensional Dirichlet problem for a semilinear Poisson equation subject to a zero boundary condition was also investigated.
Mathematics Subject Classification ID: 35K60
Mathematics Subject Classification ID: 35B05
zbMATH DE Number: 1526181
zbMATH Keywords: unique classical solution
zbMATH Keywords: blow-up set
zbMATH Keywords: semilinear heat equation
zbMATH Keywords: parabolic version of Hopf's lemma
MaRDI profile type: Publication
full work available at URL: s0362-546x(98)00312-5
OpenAlex ID: W2013642842
Wikidata QID: Q127412181
description: scientific article; zbMATH DE number 1526181