Electronic Journal of Differential Equations,
Vol. 2005(2005), No. 108, pp. 1-20.
Title: Identification of two degenerate time- and space-dependent
kernels in a parabolic equation
Authors: Enno Pais (Tallinn Univ. of Technology, Estonia)
Jaan Janno (Tallinn Univ. of Technology, Estonia)
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.