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

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...

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Bibliographic Details
Date:	2013
Main Authors:	Ivanchov, N. I., Pabyrivs’ka, N. V., Іванчов, М. І., Пабирівська, Н. В.
Format:	Article
Language:	Ukrainian English
Published:	Institute of Mathematics, NAS of Ukraine 2013
Online Access:	https://umj.imath.kiev.ua/index.php/umj/article/view/2477
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Journal Title:	Ukrains’kyi Matematychnyi Zhurnal
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