Electronic Journal of Differential Equations,
Vol. 2010(2010), No. 83, pp. 1-7.

Title: Existence of weak solutions for mixed problems
       of parabolic systems

Authors: Pham Trieu Duong (Hanoi National Univ., Hanoi, Vietnam)
         Do Van Loi (Hong Duc Univ., Thanhhoa, Vietnam)

Abstract:
 The purpose of this paper is to investigate the existence of
 generalized solutions for strongly parabolic systems in a
 cylindrical domain. The decay  of the solution at infinity,
 depending on the right-hand of the equation, is also studied in
 this article.
 
Submitted May 20, 2010. Published June 18, 2010.
Math Subject Classifications: 35K35.
Key Words: Parabolic system; generalized solution; 
           asymptotic behavior; Garding's inequality.