Existence of global solution for a nonlocal parabolic problem

A. El Hachimi, University Chouaib Doukkali, El Jadida, Maroc
M. R. Sidi Ammi, University Chouaib Doukkali, El Jadida, Maroc

E. J. Qualitative Theory of Diff. Equ., No. 1. (2005), pp. 1-9.

Communicated by T. A. Burton. Received on 2003-10-27
Appeared on 2005-02-06

Abstract: In this paper, we study a non-local initial boundary-value problem arising in Ohmic heating. By using a dynamical systems approach, some existence and uniqueness results are proved and the existence of a compact attractor is shown.


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