Limiting absorption principles for the Navier equation in elasticity

• Juan Antonio Barceló ^[1] ; Magali Folch-Gabayet ^[2] ; Salvador Pérez-Esteva ^[2] ; Alberto Ruiz ^[3] ; Mari Cruz Vilela ^[4]
  1. [1] Universidad Politécnica de Madrid

     Universidad Politécnica de Madrid

     Madrid, España

     
  2. [2] Universidad Nacional Autónoma de México

     Universidad Nacional Autónoma de México

     México

     
  3. [3] Universidad Autónoma de Madrid

     Universidad Autónoma de Madrid

     Madrid, España

     
  4. [4] Universidad de Valladolid

     Universidad de Valladolid

     Valladolid, España

     

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• Localización: Annali della Scuola Normale Superiore di Pisa. Classe di scienze, ISSN 0391-173X, Vol. 11, Nº 4, 2012, págs. 817-842
• Idioma: inglés
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• Resumen

  • We prove some a priori estimates for the resolvent of Navier equation in elasticity, when one approaches the spectrum (Limiting Absorption Principles). They are extensions of analogous estimates for the resolvent of the euclidean Laplacian in Rn. As a consequence, we get some results for the evolution equation and for the spectral measure