Inverse Problem for a Two-Dimensional Diffusion Equation in a Domain with Free Boundary

• Дата: 2013
• Автори: Ivanchov, N. I., Pabyrivs’ka, N. V., Іванчов, М. І., Пабирівська, Н. В.
• Формат: Стаття
• Мова: Українська; Англійська
• Опубліковано: Institute of Mathematics, NAS of Ukraine 2013
• Онлайн доступ: https://umj.imath.kiev.ua/index.php/umj/article/view/2477
• Назва журналу: Ukrains’kyi Matematychnyi Zhurnal

We establish conditions for the existence and uniqueness of a smooth solution to the inverse problem for a two-dimensional diffusion equation with unknown time-dependent leading coefficient in a domain with free-boundary. The equation of unknown boundary is given in the form of the product of a know...