Electronic Journal of Differential Equations,
Vol. 2006(2006), No. 61, pp. 1-13.

Title: Asymptotic behavior of solutions to a
       $2\times2$ reaction-diffusion system with a cross
       diffusion matrix on unbounded domains

Author: Salah Badraoui (Univ. du 08 Mai 1945, Guelma, Algeria)

Abstract: 
 This article concerns the behavior at $\mp \infty $
 of solutions to a reaction-diffusion system
 with a cross diffusion matrix on unbounded domains.
 We show that the solutions satisfy the free
 diffusion system for all positive time whenever the
 initial distribution has limits at $\mp \infty$.
 
Submitted October 27, 2005. Published May 11, 2006.
Math Subject Classifications: 35B40, 35B45, 35K55, 35K65.
Key Words: Reaction-diffusion systems; analytic semi-group;
    local solution; cross diffusion matrix; unbounded domain;
    asymptotic behavior of solutions.