We prove the existence and uniqueness of global solutions to semilinear parabolic equations with a nonlinear delay term. We study these problems in the whole space , obtain classic solutions, and give a mass decay result of the solution.
Submitted November 18, 2003. Published May 11, 2004.
Math Subject Classifications: 35R10, 58F40.
Key Words: Nonlinear parabolic equation, delay, global existence, mass decay.
Show me the PDF file (204K), TEX file, and other files for this article.
| Deliang Hsu |
Department of Applied Mathematics
Shanghai Jiaotong University
200240, Shanghai, China
Return to the EJDE web page