A priori bounds and complete blow up of positive solutions of indefinite superlinear parabolic problems
type: Item
instance of: scholarly article
title: A priori bounds and complete blow up of positive solutions of indefinite superlinear parabolic problems
zbMATH Open document ID: 1071.35026
author: Frédérique Simondon
author: Pavol Quittner
published in: Journal of Mathematical Analysis and Applications
publication date: 2005-04-18T00:00:00Z
Mathematics Subject Classification ID: 35B45
Mathematics Subject Classification ID: 35K60
Mathematics Subject Classification ID: 35B40
zbMATH DE Number: 2157705
zbMATH Keywords: complete blow up
zbMATH Keywords: homogeneous Dirichlet boundary conditions
MaRDI profile type: Publication
full work available at URL: j.jmaa.2004.09.044
OpenAlex ID: W2081409903
cites work: Superstable manifolds of semilinear parabolic problems
cites work: A priori bounds, nodal equilibria and connecting orbits in indefinite superlinear parabolic problems
cites work: A priori bounds and multiple solutions for superlinear indefinite elliptic problems
cites work: Optimal control problems governed by semilinear parabolic equations with low regularity data
cites work: Complete blow-up after \(T_{\max}\) for the solution of a semilinear heat equation
cites work: Local and global solvability of a class of semilinear parabolic equations
cites work: Superlinear indefinite elliptic problems and nonlinear Liouville theorems
cites work: Q4219069
cites work: Global existence for coupled reaction-diffusion systems
cites work: Solutions globales d'equations de la chaleur semi lineaires.
cites work: Indefinite elliptic problems in a domain
cites work: Equilibria, connecting orbits and a priori bounds for semilinear parabolic equations with nonlinear boundary conditions
cites work: Q5394851
cites work: Continuation of blowup solutions of nonlinear heat equations in several space dimensions
cites work: A bound for global solutions of semilinear heat equations
cites work: Blow up rate for semilinear heat equations with subcritical nonlinearity
cites work: Non existence of global solutions of parabolic equation in conical domains
cites work: Remarks on the blowup estimate for solution of the heat equation with a nonlinear boundary condition
cites work: Complete Blow-Up for a Semilinear Diffusion Equation with a Sufficiently Large Initial Condition
cites work: Complete blow up and global behaviour of solutions of \(u_t- \Delta u=g(u)\)
cites work: Universal blow-up rates for a semilinear heat equation and applications
cites work: On the behavior of solutions for a semilinear parabolic equation with supercritical nonlinearity
cites work: Multiple blowup of solutions for a semilinear heat equation
cites work: Multiple blowup of solutions for a semilinear heat equation. II.
cites work: Blowup in Reaction-Diffusion Systems with Dissipation of Mass
cites work: Existence and nonexistence of global solutions for \(u_ t = \Delta u + a(x)u^ p\) in \(\mathbb{R}^ d\)
cites work: Thermal avalanche for blowup solutions of semilinear heat equations
cites work: Q4944753
cites work: Q4458828
cites work: Multiple equilibria, periodic solutions and a priori bounds for solutions in superlinear parabolic problems
cites work: Q3512080
cites work: A priori estimates of global solutions of superlinear parabolic problems without variational structure
cites work: Complete blow-up for quasilinear degenerate parabolic equations
DOI: 10.1016/J.JMAA.2004.09.044
description: scientific article; zbMATH DE number 2157705