Blowup Properties for a Semilinear Reaction-Diffusion System with Nonlinear Nonlocal Boundary Conditions

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.

Saved in:
Bibliographic Details
Main Authors: Dengming Liu, Chunlai Mu
Format: Article
Language:English
Published: Wiley 2010-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/2010/148035
Tags: Add Tag
No Tags, Be the first to tag this record!
_version_ 1850169384167800832
author Dengming Liu
Chunlai Mu
author_facet Dengming Liu
Chunlai Mu
author_sort Dengming Liu
collection DOAJ
description 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.
format Article
id doaj-art-a8c4cbc352b94400a26f50ea31687141
institution OA Journals
issn 1085-3375
1687-0409
language English
publishDate 2010-01-01
publisher Wiley
record_format Article
series Abstract and Applied Analysis
spelling doaj-art-a8c4cbc352b94400a26f50ea316871412025-08-20T02:20:44ZengWileyAbstract and Applied Analysis1085-33751687-04092010-01-01201010.1155/2010/148035148035Blowup Properties for a Semilinear Reaction-Diffusion System with Nonlinear Nonlocal Boundary ConditionsDengming Liu0Chunlai Mu1College of Mathematics and Statistics, Chongqing University, Chongqing 400044, ChinaCollege of Mathematics and Statistics, Chongqing University, Chongqing 400044, ChinaWe 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.http://dx.doi.org/10.1155/2010/148035
spellingShingle Dengming Liu
Chunlai Mu
Blowup Properties for a Semilinear Reaction-Diffusion System with Nonlinear Nonlocal Boundary Conditions
Abstract and Applied Analysis
title Blowup Properties for a Semilinear Reaction-Diffusion System with Nonlinear Nonlocal Boundary Conditions
title_full Blowup Properties for a Semilinear Reaction-Diffusion System with Nonlinear Nonlocal Boundary Conditions
title_fullStr Blowup Properties for a Semilinear Reaction-Diffusion System with Nonlinear Nonlocal Boundary Conditions
title_full_unstemmed Blowup Properties for a Semilinear Reaction-Diffusion System with Nonlinear Nonlocal Boundary Conditions
title_short Blowup Properties for a Semilinear Reaction-Diffusion System with Nonlinear Nonlocal Boundary Conditions
title_sort blowup properties for a semilinear reaction diffusion system with nonlinear nonlocal boundary conditions
url http://dx.doi.org/10.1155/2010/148035
work_keys_str_mv AT dengmingliu blowuppropertiesforasemilinearreactiondiffusionsystemwithnonlinearnonlocalboundaryconditions
AT chunlaimu blowuppropertiesforasemilinearreactiondiffusionsystemwithnonlinearnonlocalboundaryconditions