We study the behavior of solutions of the semilinear problem
with and p>0 We describe, in terms of the parameters when the solution is bounded and when it blows up. For blowing up solutions we find the blow-up rate and the blow-up set.
Submitted July 13, 2017. Published January 22, 2018.
Math Subject Classifications: 35K58, 35B44, 35B40.
Key Words: Semilinear parabolic equation; blow-up; asymptotic behaviour.
Show me the PDF file (244 KB), TEX file for this article.
| Raul Ferreira |
Departamento de Matemática Aplicada
Univ. Complutense de Madrid
28040 Madrid, Spain
Return to the EJDE web page