Blow-up solutions and global solutions for nonlinear parabolic problems

This paper deals with the blow-up of positive solutions for a nonlinear parabolic equation subject to nonlinear boundary conditions. We obtain the conditions under which the solutions may exist globally or blow up in a finite time, by a new approach. Moreover, upper estimates of the “blow-up time”,...

Full description

Saved in:
Bibliographic Details
Published inNonlinear analysis Vol. 69; no. 12; pp. 4567 - 4574
Main Author Zhang, Hailiang
Format Journal Article
LanguageEnglish
Published Amsterdam Elsevier Ltd 15.12.2008
Elsevier
Subjects
Blow-up solution
Exact sciences and technology
Global solution
Mathematical analysis
Mathematics
Maximum principle
Method of upper and lower solutions
Nonlinear parabolic equation
Partial differential equations
Sciences and techniques of general use
35k55
Method of upper and lower solutions
35b45
Blow-up solution
Maximum principle
35k60
Global solution
Nonlinear parabolic equation
Nonlinear analysis
Nonlinear problems
Boundary condition
Partial differential equation
Non linear equation
Parabolic equation
Positive solution
35b45 Nonlinear parabolic equation
Mathematical model
Online AccessGet full text

Cover

More Information
Summary:This paper deals with the blow-up of positive solutions for a nonlinear parabolic equation subject to nonlinear boundary conditions. We obtain the conditions under which the solutions may exist globally or blow up in a finite time, by a new approach. Moreover, upper estimates of the “blow-up time”, blow-up rate and global solutions are obtained also.
Bibliography:ObjectType-Article-2
SourceType-Scholarly Journals-1
ObjectType-Feature-1
content type line 23
ISSN:0362-546X
1873-5215
DOI:10.1016/j.na.2007.11.013