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

Zhuangyi Liu; Ramón Quintanilla

doi:10.1093/imamat/hxq041

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

Zhuangyi Liu, Ramón Quintanilla

Mathematics & Statistics

Research output: Contribution to journal › Article › peer-review

9 Scopus citations

Abstract

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.

Original language	English (US)
Pages (from-to)	637-646
Number of pages	10
Journal	IMA Journal of Applied Mathematics (Institute of Mathematics and Its Applications)
Volume	75
Issue number	4
DOIs	https://doi.org/10.1093/imamat/hxq041
State	Published - Aug 2010

Keywords

analyticity
exponential stability
type III thermoelasticity
well-posedness

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title = "Analyticity of solutions in type III thermoelastic plates [republished article]",

abstract = "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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AU - Quintanilla, Ramón

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KW - analyticity

KW - exponential stability

KW - type III thermoelasticity

KW - well-posedness

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

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