ON A RIGHT HAND SIDE IDENTIFICATION PROBLEM OF A PARABOLIC EQUATION

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Date

2016

Journal Title

Journal ISSN

Volume Title

Publisher

Suleyman Demirel University

Abstract

In many physical phenomena, especially in temperature over-specification partial differential equations with an unknown source function appears. The present paper is devoted to the study of the well-posedness of the approximate solution of a right-hand side identification problem for a parabolic equation. Inverse parabolic problems is of significant importance in mathematical sciences, applied sciences and engineering. In many physical phenomena, for instance in the process of transportation, diffusion and conduction of natural materials, the parabolic partial differential equation is induced.

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Keywords

Identification problem, stability estimates

Citation

ON A RIGHT HAND SIDE IDENTIFICATION PROBLEM OF A PARABOLIC EQUATION, Erdogan A.S., Assoc. Professor, 2016