Miguel Loayza, Crislene S. da Paixao
Abstract:
We consider the parabolic problem
in
with a Dirichlet condition on the boundary
and
.
The initial data is assumed in the space
, where
is a either bounded
or unbounded domain. We find conditions that guarantee the global
existence (or the blow up in finite time) of nonnegative solutions.
Submitted May 27, 2014. Published July 31, 2014.
Math Subject Classifications: 35K58, 35B33, 35B44.
Key Words: Parabolic equation; blow up; global solution.
Show me the PDF file (235 KB), TEX file, and other files for this article.
Miguel Loayza Departamento de Matemática Universidade Federal de Pernambuco - UFPE 50740-540, Recife, PE, Brazil email: miguel@dmat.ufpe.br | |
Crislene S. da Paixão Departamento de Matemática Universidade Federal de Pernambuco - UFPE 50740-540, Recife, PE, Brazil email: crisspx@gmail.com |
Return to the EJDE web page