Inverse problem for a parabolic equation with strong power degeneration

• Datum: 2006
• Hauptverfasser: Ivanchov, N. I., Saldina, N. V., Іванчов, М. І., Салдіна, Н. В.
• Format: Artikel
• Sprache: Ukrainisch; Englisch
• Veröffentlicht: Institute of Mathematics, NAS of Ukraine 2006
• Online Zugang: https://umj.imath.kiev.ua/index.php/umj/article/view/3549
• Назва журналу: Ukrains’kyi Matematychnyi Zhurnal

We consider the inverse problem of determining the time-dependent coefficient of the leading derivative in a full parabolic equation under the assumption that this coefficient is equal to zero at the initial moment of time. We establish conditions for the existence and uniqueness of a classical solu...