Article citationsMore >>

M. A. Naimark, Linear Differential Operators (Nauka, Moscow, 1989) [in Russian].

has been cited by the following article:

Article

An Inverse Coefficient Problem for a Parabolic Equation under Nonlocal Boundary and Integral Overdetermination Conditions

1Department of Mathematics and Informatics, the Larbi Ben M.hidi University, Oum El Bouaghi


International Journal of Partial Differential Equations and Applications. 2014, Vol. 2 No. 3, 38-43
DOI: 10.12691/ijpdea-2-3-1
Copyright © 2014 Science and Education Publishing

Cite this paper:
Oussaeif Taki-Eddine, Bouziani Abdelfatah. An Inverse Coefficient Problem for a Parabolic Equation under Nonlocal Boundary and Integral Overdetermination Conditions. International Journal of Partial Differential Equations and Applications. 2014; 2(3):38-43. doi: 10.12691/ijpdea-2-3-1.

Correspondence to: Oussaeif  Taki-Eddine, Department of Mathematics and Informatics, the Larbi Ben M.hidi University, Oum El Bouaghi. Email: taki_maths@live.fr

Abstract

This paper investigates the inverse problem of simultaneously determining the time-dependent thermal diffusivity and the temperature distribution in a parabolic equation in the case of nonlocal boundary conditions containing a real parameter and integral overdetermination conditions. Under some consistency conditions on the input data the existence, uniqueness and continuously dependence upon the data of the classical solution are shown by using the generalized Fourier method.

Keywords