Advances in Differential Equations

Energy decay and a transmission problem in electromagneto-elasticity

Boris V. Kapitonov and G. Perla Menzala

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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

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

First available in Project Euclid: 27 December 2012

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Mathematical Reviews number (MathSciNet)

Zentralblatt MATH identifier

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


Kapitonov, Boris V.; Perla Menzala, G. Energy decay and a transmission problem in electromagneto-elasticity. Adv. Differential Equations 7 (2002), no. 7, 819--846.

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