Electron. J. Diff. Equ., Vol. 2010(2010), No. 68, pp. 1-18.

Existence of solutions for nonlinear parabolic systems via weak convergence of truncations

Elhoussine Azroul, Hicham Redwane, Mohamed Rhoudaf

Abstract:
We prove an existence result for a class of nonlinear parabolic systems. Without assumptions on the growth of some nonlinear terms, we prove the existence of a renormalized solution.

Submitted March 2, 2010. Published May 17, 2010.
Math Subject Classifications: 47A15, 46A32, 47D20.
Key Words: Nonlinear parabolic systems; existence; truncations; renormalized solutions.

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Elhoussine Azroul
Département de Mathématiques et Informatique
Faculté des Sciences Dhar-Mahraz
B.P. 1796 Atlas Fès, Morocco
email: azroul_elhoussine@yahoo.fr
Hicham Redwane
Faculté des Sciences Juridiques, Economiques et Sociales
Université Hassan 1, B.P. 784, Settat 26 000, Morocco
email: redwane_hicham@yahoo.fr
Mohamed Rhoudaf
Département des Mathématiques
Faculté des Sciences et Techniques de Tanger
B.P. 416, Tanger, Morocco
email: rhoudaf_mohamed@yahoo.fr

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