Blowup properties for a semilinear reaction-diffusion system with nonlinear nonlocal boundary conditions
type: Item
instance of: scholarly article
title: Blowup properties for a semilinear reaction-diffusion system with nonlinear nonlocal boundary conditions
zbMATH Open document ID: 1194.35079
DOI: 10.1155/2010/148035
author: Dengming Liu
author: Chunlai Mu
published in: Abstract and Applied Analysis
publication date: 2010-06-30T00:00:00Z
full work available at URL: https://eudml.org/doc/229352
review text: Summary: We investigate the blowup properties of the positive solutions for a semilinear reaction-diffusion system with nonlinear nonlocal boundary condition. We obtain some sufficient conditions for global existence and blowup by utilizing the method of subsolution and supersolution.
Mathematics Subject Classification ID: 35B44
Mathematics Subject Classification ID: 35K57
Mathematics Subject Classification ID: 35K61
Mathematics Subject Classification ID: 35K58
zbMATH DE Number: 5728844
zbMATH Keywords: positive solutions
zbMATH Keywords: subsolution and supersolution
MaRDI profile type: Publication
OpenAlex ID: W2081652334
Wikidata QID: Q58649755
cites work: A semilinear parabolic system in a bounded domain
cites work: Boundedness and blow-up behavior for reaction–diffusion systems in a bounded domain
cites work: Q5547841
cites work: Q3736159
cites work: On critical Fujita exponents for heat equations with nonlinear flux conditions on the boundary
cites work: Blow-up for a semilinear reaction-diffusion system coupled in both equations and boundary conditions.
cites work: Blow-up rates for parabolic systems
cites work: Boundedness and blow up for a semilinear reaction-diffusion system
cites work: Q4893657
cites work: Global existence and blow‐up for a system of heat equations with non‐linear boundary conditions
cites work: Blow-up for a parabolic system coupled in an equation and a boundary condition
cites work: The role of critical exponents in blow-up theorems: The sequel
cites work: Note on critical exponents for a system of heat equations coupled in the boundary conditions
cites work: Blowup analysis for a semilinear parabolic system with nonlocal boundary condition
cites work: Roles of weight functions in a nonlinear nonlocal parabolic system
cites work: Blow-up of solutions for semilinear heat equation with nonlinear nonlocal boundary condition
cites work: On the growth of solutions of quasi‐linear parabolic equations
description: scientific article; zbMATH DE number 5728844