Inverse problem for the heat equation in a rectangular domain

• Datum: 2017
• Hauptverfasser: Ivanchov, N. I., Kinash, N. Ye., Іванчов, М. І., Кінаш, Н. Є.
• Format: Artikel
• Sprache: Ukrainisch
• Veröffentlicht: Institute of Mathematics, NAS of Ukraine 2017
• Online Zugang: https://umj.imath.kiev.ua/index.php/umj/article/view/1807
• Назва журналу: 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.