We prove that a space- and time-dependent kernel occurring in a hyperbolic integro-differential equation in three space dimensions can be uniquely reconstructed from the restriction of the Dirichlet-to-Neumann operator of the equation into a set of Dirichlet data of the form of products of a fixed time-dependent coefficient times arbitrary space-dependent functions.
Submitted March 29, 2004. Published May 3, 2004.
Math Subject Classifications: 35R30, 45K05, 74J25.
Key Words: Inverse problem, Dirichlet-to-Neumann operator, hyperbolic equation, viscoelasticity.
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| Jaan Janno |
Institute of Cybernetics
Tallinn University of Technology
12618 Tallinn, Estonia
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