Analyticity of solutions in type III thermoelastic plates

Zhuangyi Liu, Ramón Quintanilla

Research output: Contribution to journalArticlepeer-review

26 Scopus citations


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 languageEnglish (US)
Pages (from-to)356-365
Number of pages10
JournalIMA Journal of Applied Mathematics (Institute of Mathematics and Its Applications)
Issue number3
StatePublished - Jun 2010


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


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