Electron. J. Diff. Eqns., Vol. 2004(2004), No. 67, pp. 116.
Recovering a time and spacedependent kernel in a
hyperbolic integrodifferential equation from a
restricted DirichlettoNeumann Operator
Jaan Janno
Abstract:
We prove that a space and timedependent kernel occurring in a hyperbolic
integrodifferential equation in three space dimensions can be uniquely
reconstructed from the restriction of the DirichlettoNeumann operator of
the equation into a set of Dirichlet data of the form of products of a
fixed timedependent coefficient times arbitrary spacedependent functions.
Submitted March 29, 2004. Published May 3, 2004.
Math Subject Classifications: 35R30, 45K05, 74J25.
Key Words: Inverse problem, DirichlettoNeumann operator,
hyperbolic equation, viscoelasticity.
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Jaan Janno
Institute of Cybernetics
Tallinn University of Technology
12618 Tallinn, Estonia
email: janno@ioc.ee 
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