Analyticity of thermo-elastic semigroups with free boundary conditions

• Irena Lasiecka ^[1] ; Roberto Triggiani ^[1]
  1. [1] University of Virginia

     University of Virginia

     Estados Unidos

     
• Localización: Annali della Scuola Normale Superiore di Pisa. Classe di scienze, ISSN 0391-173X, Vol. 27, Nº 3-4, 1998, págs. 457-482
• Idioma: inglés
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• Resumen

  • We consider a thermo-elastic plate system where the elastic equation does not account for rotational forces. Of all canonical boundary conditions (B.C.), we focus on the most challenging case unsolved in the literature: that of free B.C., which are coupled. As in other simpler B.C.-cases, we show that the corresponding s.c. contraction semigroup (on a natural energy space) is analytic, and, hence, uniformly stable. The proof employs P.D.E. methods and estimates. Thus, this paper completes the authors’ analysis [L-T.1 ], [L-T.2], spurred by the original important contribution [L-R.1 ], on analyticity of thermo-elastic semigroups with no rotational forces: under all canonical B.C., they are analytic, hence uniformly stable.