Attractors for a class of doubly nonlinear parabolic systems

H. El Ouardi, E.N.S.E.M, Maroc
A. El Hachimi, University Chouaib Doukkali, El Jadida, Maroc

E. J. Qualitative Theory of Diff. Equ., No. 1. (2006), pp. 1-15.

Abstract: In this paper, we establish the existence and boundedness of solutions of a doubly nonlinear parabolic system. We also obtain the existence of a global attractor and the regularity property for this attractor in $\left[ L^{\infty }(\Omega )\right] ^{2}$ and
${\displaystyle \prod_{i=1}^{2}}{B_{\infty }^{1+\sigma _{i},p_{i}}( \Omega )} $.

You can download the full text of this paper in DVI, PostScript or PDF format.