Science and Education Publishing
International Journal of Partial Differential Equations and Applications
2
3
2014
06
19
An Inverse Coefficient Problem for a Parabolic Equation under Nonlocal Boundary and Integral Overdetermination Conditions
38
43
EN
Oussaeif
Taki-Eddine
Department of Mathematics and Informatics, the Larbi Ben M.hidi University, Oum El Bouaghi
Bouziani
Abdelfatah
IJPDEA2014231
10.12691/ijpdea-2-3-1
2014
06
03
2014
06
16
2014
06
19
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.