Electronic Journal of Differential Equations,
Vol. 2006(2006), No. 70, pp. 1-18.

Title: Weak solutions for quasilinear degenerate parabolic systems

Authors: Zheng'an Yao (Sun Yat-sen Univ., China)
         Wenshu Zhou  (Jilin Univ., China)
	 
Abstract: 
 This paper concerns the initial Dirichlet  boundary-value problem
 for a class of quasilinear degenerate parabolic systems.
 Due to the degeneracies, the problem does not have classical solutions
 in general. Combining the special form of the system, a proper concept
 of  a weak solution is presented, then  the existence and uniqueness
 of weak solutions are proved.  Moreover, the asymptotic behavior
 of weak solutions will also be discussed.
 
Submitted December 12, 2005. Published July 7, 2006.
Math Subject Classifications: 35K10, 35K50, 35K55, 35K65.
Key Words: Quasilinear degenerate parabolic system; weak solution; 
           existence; uniqueness; asymptotic behavior.