Electronic Journal of Differential Equations,
Conference 09 (2002), pp. 127-137.
Title: Existence of weak solutions for the thermistor problem with degeneracy
Authors: Abderrahmane El Hachimi (Faculte des Sciences Jadida, Maroc)
Moulay Rachid Sidi Ammi (Faculte des Sciences Jadida, Maroc)
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.
Math Subject Classifications: 35K20, 35K35, 35K45, 35K60.
Key Words: Thermistor; degeneracy; existence; regularization;
theorem of Leray Schauder; monotonicity-compacity method.