Inverse problem for the strongly degenerate heat equation in a domain with free boundary

• Date: 2009
• Main Authors: Ivanchov, N. I., Hryntsiv, N. M., Іванчов, М. І., Гринців, Н. М.
• Format: Article
• Language: Ukrainian; English
• Published: Institute of Mathematics, NAS of Ukraine 2009
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/2998
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

In a domain with free boundary, we establish conditions for the existence and uniqueness of a solution of the inverse problem of finding the time-dependent coefficient of heat conductivity. We study the case of strong degeneration where the unknown coefficient tends to zero as $t → +0$ as a power fu...