Electronic Journal of Differential Equations,
Vol. 2004(2004), No. 70, pp. 1-7.

Title: Existence of solutions to nonlinear parabolic problems with delay

Author: Deliang Hsu (Shanghai Jiaotong Univ., China)

Abstract:
  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 $\mathbb{R}^n$, 
  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.