%0 Journal Article %T Existence of weak solutions for mixed problems of parabolic systems %A Pham Trieu Duong %A Do Van Loi %J Electronic Journal of Differential Equations %D 2010 %I Texas State University %X 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. %K Parabolic system %K generalized solution %K asymptotic behavior %K Garding's inequality %U http://ejde.math.txstate.edu/Volumes/2010/83/abstr.html