Ukrainian Mathematical Bulletin

Volume 4, Issue 4, 2007 pp. 449-476.

An Inverse Problem for the Two-dimensional Heat Equation in a Domain with Free Boundaries

Authors: Irina Barans'ka, Mykola Ivanchov
Author institution: Lviv I. Franko National University, vul. Universytets'ka 1,Lviv, 79000, Ukraine, ivanchov@franko.lviv.ua

Summary: We find conditions for existence and uniqueness of a solution of the inverse problem for the two-dimensional heat equations with an unknown time dependent heat conductance coefficient in a domain with unknown boundaries.

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