V. G. Yakhno, I. Z. Merazhov, “Direct Problems and a One-dimensional Inverse Problem of Electroelasticity for “Slow” Waves”, Mat. Tr., 1999, Volume 2, Number 2,Pages <nobr>148

This article is cited in 9 papers

Direct Problems and a One-dimensional Inverse Problem of Electroelasticity for “Slow” Waves

V. G. Yakhno^a, I. Z. Merazhov^bc

^a Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences
^b Institute of Computational Mathematics and Mathematical Geophysics (Computing Center), Siberian Branch of the Russian Academy of Sciences
^c Siberian University of Consumer's Cooperation

Abstract: The emphasis is on the direct (initial-boundary value) problems with particular boundary conditions and the inverse problem connected with determining the elasticity moduli and piezoelectric modulus of an electroelastic medium with cubic structure on some information about solutions to the direct problems. The moduli are assumed to be functions of depth only. The basic results of the present article are existence and uniqueness theorems of the direct and inverse problems under consideration together with stability estimates for solutions to the inverse problem.

Key words: electromagneto-elasticity, electroelasticity, elasticity moduli, piezoelectric modulus, direct problem, inverse problem, integral Volterra equation of the second kind.

UDC: 517.951

Received: 07.09.1998