On the solvability of a class of singular parabolic equations with nonlocal boundary conditions in nonclassical function spaces

The aim of this paper is to prove the existence, uniqueness, and continuous dependence upon the data of a generalized solution for certain singular parabolic equations with initial and nonlocal boundary conditions. The proof is based on an a priori estimate established in nonclassical function space...

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Bibliographic Details
Main Author: Abdelfatah Bouziani
Format: Article
Language:English
Published: Hindawi Limited 2002-01-01
Series:International Journal of Mathematics and Mathematical Sciences
Online Access:http://dx.doi.org/10.1155/S0161171202004507