Inverse problem for the heat equation in a rectangular domain

• Date: 2017
• Main Authors: Ivanchov, N. I., Kinash, N. Ye., Іванчов, М. І., Кінаш, Н. Є.
• Format: Article
• Language: Ukrainian
• Published: Institute of Mathematics, NAS of Ukraine 2017
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/1807
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

We establish conditions for the existence and uniqueness of a smooth solution to the inverse problem for the two-dimensional heat equation with unknown leading coefficient depending on time and the space variable.