Journal of Applied Mathematics and Stochastic Analysis 
Volume 9 (1996), Issue 3, Pages 323-330
doi:10.1155/S1048953396000305

Mixed problem with boundary integral conditions for a certain parabolic equation

Abdelfatah Bouziani

 Institut National d'Enseignement, Supérieur de Mécanique, Oum El Bouaghi, Algeria
Received 1 October 1994; Revised 1 December 1995

Abstract

The present article is devoted to a proof of the existence and uniqueness of a solution of a mixed problem with boundary integral conditions for a certain parabolic equation. The proof is based on an energy inequality and on the fact that the range of the operator generated by the problem is dense.