4.2 Article

Analyticity of solutions in type III thermoelastic plates [republished article]

Journal

IMA JOURNAL OF APPLIED MATHEMATICS
Volume 75, Issue 4, Pages 637-646

Publisher

OXFORD UNIV PRESS
DOI: 10.1093/imamat/hxq041

Keywords

type III thermoelasticity; well-posedness; exponential stability; analyticity

Funding

  1. Estudio Cualitativo de Problemas Termomecanicos [MTM2006-03706]
  2. Ecuaciones en Derivadas Parciales en Termomecanica
  3. Teoria y Aplicaciones [MTM2009-08150]

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In this paper, we consider the system of equations that governs the evolution of the homogeneous and isotropic prestressed type III thermoelastic plates. We prove that the semigroup that generates the solutions to this problem is analytic. This regularity property implies the impossibility of localization of solutions. Different boundary conditions are also considered.

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