Inverse problem for the heat equation with degeneration

• Date: 2005
• Main Authors: Ivanchov, N. I., Saldina, N. V., Іванчов, М. І., Салдіна, Н. В.
• Format: Article
• Language: Ukrainian; English
• Published: Institute of Mathematics, NAS of Ukraine 2005
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/3708
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

We consider the inverse problem of determining the time-dependent thermal diffusivity that is equal to zero at the initial moment of time. We establish conditions for the existence and uniqueness of a classical solution of the problem under consideration.