Recovering a time- and space-dependent kernel in a hyperbolic integro-differential equation from a restricted Dirichlet-to-Neumann Operator
Date
2004-05-03
Authors
Janno, Jaan
Journal Title
Journal ISSN
Volume Title
Publisher
Southwest Texas State University, Department of Mathematics
Abstract
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.
Description
Keywords
Inverse problem, Dirichlet-to-Neumann operator, Hyperbolic equations, Viscoelasticity
Citation
Janno, J. (2004). Recovering a time- and space-dependent kernel in a hyperbolic integro-differential equation from a restricted Dirichlet-to-Neumann Operator. <i>Electronic Journal of Differential Equations, 2004</i>(67), pp. 1-16.
Rights
Attribution 4.0 International