Electron. J. Diff. Equ., Vol. 2014 (2014), No. 172, pp. 1-11.

Inverse problem of determining the coefficients in a degenerate parabolic equation

Nadiya Huzyk

We consider the inverse problem of identifying the time-dependent coefficients in a degenerate parabolic equation. The conditions of existence and uniqueness of the classical solution to this problem are established. We investigate the case of weak power degeneration.

Submitted December 27, 2013. Published August 12, 2014.
Math Subject Classifications: 35R30, 35R35, 35K65.
Key Words: Inverse problem; determining coefficients; parabolic equation; weak power degeneration.

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Nadiya Huzyk
Department of Differential Equations
Ivan Franko National University of Lviv
Lviv, Ukraine
email: hryntsiv@ukr.net

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