2002-Fez conference on Partial Differental Equations,
Electron. J. Diff. Eqns., Conf. 09, 2002, pp. 127-137.

Existence of weak solutions for the thermistor problem with degeneracy

Abderrahmane El Hachimi & Moulay Rachid Sidi Ammi

Abstract:
We prove the existence of weak solutions for the thermistor problem with degeneracy by using a regularization and truncation process. The solution of the regularized-truncated problem is obtained by using Schauder's fixed point theorem. Then the solutions of the thermistor problem are obtained by applying the monotonicity-compacity method of Lions.

Published December 28, 2002.
Subject classfications: 35K20, 35K35, 35K45, 35K60.
Key words: Thermistor, degeneracy, existence, regularization, theorem of Leray Schauder, monotonicity-compacity method.

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Abderrahmane El Hachimi
UFR Mathematiques Appliquees et Industrielles
Faculte des Sciences
B.P. 20, El Jadida - Maroc
e-mail: elhachimi@ucd.ac.ma
Moulay Rachid Sidi Ammi
UFR Mathematiques Appliquees et Industrielles
Faculte des Sciences
B.P. 20, El Jadida - Maroc
e-mail: sidiammi@hotmail.com

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