If you are experiencing problems downloading PDF or HTML fulltext, our helpdesk recommend clearing your browser cache and trying again. If you need help in clearing your cache, please click here . Still need help? Email help@ingentaconnect.com

The Balance between Nonlinear Inwards and Outwards Boundary Flux for a Nonlinear Heat Equation

The full text article is not available for purchase.

The publisher only permits individual articles to be downloaded by subscribers.


We study nonnegative solutions ofut=(um)xx( x,t)∈(0,L)×(0,T),-(um) x(0,t)=up(0,t),t∈(0,T),(um)x(L,t)=-uq(L,t),t∈(0,T),u(x,0)=u0(x),x ∈(0,L),where m, p, q, and L are positive parameters. For different values of the parameters three situations may occur: (1) all solutions of this problem exist for all t>0; (2) for certain initial data functions the solution exists for all t>0 while for others the solution blows up as tT for some finite T; (3) excepting the trivial solution when u0≡0, all solutions blow up as tT for some finite T. We identify in terms of the parameters which of them actually happens. For solutions which blow up we find the blow-up rate and the blow-up set. © 2002 Elsevier Science (USA).

Document Type: Research Article

Affiliations: 1: Departamento de Matemáticas, U. Autónoma de Madrid, Madrid, 28049, Spain 2: Departamento de Matemática, F.C.E y N., UBA, (1428) Buenos Aires, Argentina

Publication date: September 1, 2002

Related content



Share Content

Access Key

Free Content
Free content
New Content
New content
Open Access Content
Open access content
Subscribed Content
Subscribed content
Free Trial Content
Free trial content
Cookie Policy
Cookie Policy
ingentaconnect website makes use of cookies so as to keep track of data that you have filled in. I am Happy with this Find out more