Journal of Integral Equations and Applications

Sharp control time for viscoelastic bodies

L. Pandolfi

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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.

Article information

J. Integral Equations Applications, Volume 27, Number 1 (2015), 103-136.

First available in Project Euclid: 24 February 2015

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Digital Object Identifier

Mathematical Reviews number (MathSciNet)

Zentralblatt MATH identifier

Primary: 45K05: Integro-partial differential equations [See also 34K30, 35R09, 35R10, 47G20] 93B03: Attainable sets 93B05: Controllability 93C22

Controllability and observability integral equations linear systems partial differential equations heat equations with memory viscoelasticity


Pandolfi, L. Sharp control time for viscoelastic bodies. J. Integral Equations Applications 27 (2015), no. 1, 103--136. doi:10.1216/JIE-2015-27-1-103.

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