On a coefficient inverse problem for a parabolic equation in a domain with free boundary (Q2255708)
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| English | On a coefficient inverse problem for a parabolic equation in a domain with free boundary |
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On a coefficient inverse problem for a parabolic equation in a domain with free boundary (English)
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18 February 2015
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This paper examines a coefficient inverse problem for a one-dimensional parabolic equation of a special form in a domain whose boundary is determined by two unknown functions. The coefficient of the first derivative with respect to a spatial variable in the parabolic equation is also to be determined. The conditions of local existence and uniqueness of a solution to the inverse problem are established.
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inverse problem
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Lamé system
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parabolic equation
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free boundary
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Green's function
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