Stability and Approximation for a Linear Viscoelastic Model

Author: Fabiano R.H.  

Publisher: Academic Press

ISSN: 0022-247X

Source: Journal of Mathematical Analysis and Applications, Vol.204, Iss.1, 1996-11, pp. : 206-220

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Abstract

We consider an integro-differential equation which arises in linear viscoelasticity. By making use of an equivalent inner product, it is shown that the underlying contraction semigroup is exponentially stable. We also show that the finite dimensional semigroups arising from a known approximation scheme are uniformly exponentially stable.