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A note on analyticity to piezoelectric systems

Hugo D. Fernández Sare, B. Miara, M.L. Santos

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Source: Crossref

Published: Jun 19, 2012

DOI: 10.1002/mma.2559

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Source abstract

In this paper, we consider a piezoelectric dissipative system in which a dissipation term is given through the mechanical part of the stress tensor. The abstract Cauchy problem associated to this system generates a semigroup of linear operators. We establish the analyticity of this semigroup that, in turn, implies the exponential decay of the corresponding energy and the strong regularity of the solutions. Copyright © 2012 John Wiley & Sons, Ltd.

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A note on analyticity to piezoelectric systems — Mathematical Frontier Network