2005-Oujda International Conference on Nonlinear Analysis,
Oujda, Morocco.
Electronic Journal of Differential Equations,
Conference 14 (2006), pp. 9-20. 

Title: Existence result for  variational degenerated parabolic 
       problems via pseudo-monotonicity

Authors: Lahsen Aharouch   (Faculte des Sciences, Fez, Maroc)
         Elhoussine Azroul (Faculte des Sciences, Fez, Maroc)
	 Mohamed Rhoudaf   (Faculte des Sciences, Fez, Maroc)
 
Abstract: 

 In this paper, we study the existence of  weak solutions for the
 initial-boundary value problems of the  nonlinear degenerated
 parabolic equation
 $$
 \frac{\partial u}{\partial t}-\mathop{\rm div}a(x,t,u,\nabla u)
 +a_0(x,t,u,\nabla u) = f ,
 $$
 where $Au = -\mathop{\rm div}a(x,t,u,\nabla u)$ is a classical
  divergence operator of Leray-lions  acting from
 $L^p(0,T,W_0^{1,p}(\Omega,w))$ to its dual.
 The source term $f$ is assumed to belong to
 $L^{p'}(0,T,W^{-1,p'}(\Omega,w^*))$.
 
Published September 20, 2006.
Math Subject Classifications: 35J60.
Key Words: Weighted Sobolev spaces; boundary value problems; 
           truncations; parabolic problems.