Rothe method for a mixed problem with an integral condition for the two-dimensional diffusion equation

This paper deals with an initial boundary value problem with an integral condition for the two-dimensional diffusion equation. Thanks to an appropriate transformation, the study of the given problem is reduced to that of a one-dimensional problem. Existence, uniqueness, and continuous dependence upo...

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Bibliographic Details
Main Authors: Nabil Merazga, Abdelfatah Bouziani
Format: Article
Language:English
Published: Hindawi Limited 2003-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/S1085337503305019