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Issue ESAIM: Proc.
Volume 8, 2000
Contrôle des systèmes gouvernés par des équations aux dérivées partielles
Page(s) 53 - 64
DOI http://dx.doi.org/10.1051/proc:2000004

ESAIM: Proc., 2000, Vol. 8, pp. 53-64
DOI: 10.1051/proc:2000004

Optimal regularity results in boundary control of elastic systems with fractional order damping

Scott W. Hansen

Department of Mathematics, Iowa State University, Ames, Iowa 50011


Abstract
In this article a criterion known as the "operator Carleson measure criterion" is applied to obtain regularity results for a general class of second-order boundary control problems. As specific examples, optimal regularity results are obtained for a wave equation and a plate equation, both with fractional order damping and on a rectangular domain with one edge controlled.



© EDP Sciences, ESAIM 2000


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