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Abstract
In a free boundary domain we consider inverse problems for determination a time-dependent coefficient at the first derivative of an unknown function in a generally degenerate parabolic equation with different overdetermination conditions. There are established conditions of existence and uniqueness of the classical solutions to the named problems in the case of the weak degeneration.
Keywords: Free boundary problem; coefficient inverse problem; degenerate parabolic equation; integral condition; Stefan condition
Received: 2011-6-24
Revised: 2014-3-13
Accepted: 2014-4-12
Published Online: 2014-5-16
Published in Print: 2015-4-1
© 2015 by De Gruyter