Advances in Differential Equations

Simultaneous exact controllability: an elastodynamic system and Maxwell's equations

B. Kapitonov and G. Perla Menzala

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Abstract

A new boundary observability inequality for the Maxwell equations and the elastodynamic system is obtained. We use modified multipliers to obtain such an inequality as long as a geometric condition on the region holds and important parameters of the model are (numerically) related. This allow us to use the HUM to conclude a "simultaneous'' boundary exact controllability result.

Article information

Source
Adv. Differential Equations Volume 16, Number 5/6 (2011), 551-571.

Dates
First available in Project Euclid: 17 December 2012

Permanent link to this document
https://projecteuclid.org/euclid.ade/1355703300

Mathematical Reviews number (MathSciNet)
MR2816116

Zentralblatt MATH identifier
1231.35249

Subjects
Primary: 35Q99: None of the above, but in this section 74F99: None of the above, but in this section 35B40: Asymptotic behavior of solutions

Citation

Kapitonov, B.; Perla Menzala, G. Simultaneous exact controllability: an elastodynamic system and Maxwell's equations. Adv. Differential Equations 16 (2011), no. 5/6, 551--571. https://projecteuclid.org/euclid.ade/1355703300.


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