Advances in Differential Equations

Energy decay and a transmission problem in electromagneto-elasticity

Boris V. Kapitonov and G. Perla Menzala

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Abstract

We consider a transmission problem for a system of electromagneto-elasticity having piecewise constant coefficients in a bounded domain. Under suitable geometric conditions imposed on the domain and the interfaces where the coefficients have a jump discontinuity, results on uniform boundary stabilization are established. Exact boundary controllability is then obtained through Russell's "controllability via stabilizability" principle.

Article information

Source
Adv. Differential Equations Volume 7, Number 7 (2002), 819-846.

Dates
First available in Project Euclid: 27 December 2012

Permanent link to this document
https://projecteuclid.org/euclid.ade/1356651707

Mathematical Reviews number (MathSciNet)
MR1895167

Zentralblatt MATH identifier
1052.93025

Subjects
Primary: 93B05: Controllability
Secondary: 35B40: Asymptotic behavior of solutions 35Q60: PDEs in connection with optics and electromagnetic theory 74F15: Electromagnetic effects 78A25: Electromagnetic theory, general

Citation

Kapitonov, Boris V.; Perla Menzala, G. Energy decay and a transmission problem in electromagneto-elasticity. Adv. Differential Equations 7 (2002), no. 7, 819--846. https://projecteuclid.org/euclid.ade/1356651707.


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