Electron. J. Diff. Eqns., Vol. 2005(2005), No. 108, pp. 1-20.

Identification of two degenerate time- and space-dependent kernels in a parabolic equation

Enno Pais, Jaan Janno

Abstract:
An inverse problem to determine two degenerate time- and space-dependent kernels in a parabolic integro-differential equation is considered. Observation data involves given values of the solution of the equation in a finite number of points over the time. Existence and uniqueness of a solution to the inverse problem is proved.

Submitted April 7, 2005. Published October 7, 2005.
Math Subject Classifications: 35R30, 80A23.
Key Words: Inverse problem; memory kernel; parabolic equation.

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Enno Pais
Tallinn University of Technology
12618 Tallinn, Estonia
email: ennopais@stv.ee
Jaan Janno
Tallinn University of Technology
12618 Tallinn, Estonia
email: janno@ioc.ee

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