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.