IJPAM: Volume 25, No. 2 (2005)

ON AN INVERSE PROBLEM FOR SEMILINEAR
PARABOLIC EQUATION

A.Ya. Akhundov
Department of Mathematics and Mechanics
National Academy of Sciences
9, F. Agayev, Baku, AZ-1141, AZERBAIJAN
e-mail: axundov@baku.az


Abstract.In this study, inverse problems have been investigated for determination of the function which is not related to the one of space coordinates of semilinear parabolic equation in the right hand side. Moreover, theorems which are related to existence, uniqueness and stability of solution of considered problem have been proved.

Received: March 16, 2005

AMS Subject Classification: 35L20, 35R30, 35P99

Key Words and Phrases: inverse problem, parabolic equation, ill-posed problems

Source: International Journal of Pure and Applied Mathematics
ISSN: 1311-8080
Year: 2005
Volume: 25
Issue: 2