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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