Open Access
SPRING 2015 Sharp control time for viscoelastic bodies
L. Pandolfi
J. Integral Equations Applications 27(1): 103-136 (SPRING 2015). DOI: 10.1216/JIE-2015-27-1-103


The evolution in time of a viscoelastic body is described by an equation with memory, which can be seen as a perturbation of the equations of elasticity. This observation is a useful tool in the study of control problems. In this paper, by using moment methods, we compare a viscoelastic system which fills a surface or a solid region (the string case has already been studied) with its elastic counterpart (which is a generalized telegrapher's equation) in order to prove exact controllability of the viscoelastic body as a consequence of the assumed controllability of the associated telegrapher's equation.


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L. Pandolfi. "Sharp control time for viscoelastic bodies." J. Integral Equations Applications 27 (1) 103 - 136, SPRING 2015.


Published: SPRING 2015
First available in Project Euclid: 24 February 2015

zbMATH: 1328.45013
MathSciNet: MR3316980
Digital Object Identifier: 10.1216/JIE-2015-27-1-103

Primary: 45K05 , 93B03 , 93B05 , 93C22

Keywords: Controllability and observability , heat equations with memory , integral equations , Linear systems , partial differential equations , viscoelasticity

Rights: Copyright © 2015 Rocky Mountain Mathematics Consortium

Vol.27 • No. 1 • SPRING 2015
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