Journal of Mathematical Sciences

, Volume 200, Issue 3, pp 374–388 | Cite as

On a coefficient inverse problem for a parabolic equation in a domain with free boundary

Article
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Abstract

The present paper deals with the inverse problem of determination of the coefficient of the first derivative of the unknown function with respect to a spatial variable for a one-dimensional parabolic equation in the domain whose boundary is determined by two unknown functions. The conditions of local existence and uniqueness of a solution to the inverse problem are established.

Keywords

Inverse problem parabolic equation free boundary Green function 
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Copyright information

© Springer Science+Business Media New York 2014

Authors and Affiliations

  1. 1.LvivUkraine

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