Electron. J. Diff. Eqns., Vol. 2004(2004), No. 67, pp. 1-16.

Recovering a time- and space-dependent kernel in a hyperbolic integro-differential equation from a restricted Dirichlet-to-Neumann Operator

Jaan Janno

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.

Show me the PDF file (290K), TEX file, and other files for this article.

Jaan Janno
Institute of Cybernetics
Tallinn University of Technology
12618 Tallinn, Estonia
email: janno@ioc.ee

Return to the EJDE web page