Study of some boundary value problems using variational methods
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Date
2024-06
Journal Title
Journal ISSN
Volume Title
Publisher
Mohamed Boudiaf University of M’sila, Faculty of Mathematics and Computer Science, Department of Mathematics
Abstract
In this dissertation, we studied some boundary problems using variational methods, where we gave a
variational formulation of this problem, then we used the Lax-Milgram theorem to demonstrate the
existence and uniqueness of the solution, i.e., if we have a mathematical problem the classic formulation
consists to search for a solution function of this problem.
Description
Keywords
Distributions, Sobolev spaces, Variational formulation, Lax-Milgram theorem