A Born approximation from backscattering data for live loads in Lamé system

• Juan Antonio Barceló ^[1] ; Magali Folch-Gabayet ^[2] ; Salvador Pérez-Esteva ^[2] ; Alberto Ruiz ^[3] ; Mari Cruz Vilela Bendaña ^[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: Revista matemática iberoamericana, ISSN 0213-2230, Vol. 31, Nº 4, 2015, págs. 1423-1458
• Idioma: inglés
• DOI: 10.4171/RMI/875
• Texto completo no disponible (Saber más ...)
• Resumen

  • We will study the inverse scattering problem for the Lamé equation in elasticity with live loads. We give the definition of a Born approximation of the load from backscattering data. We will see that in 2D, for non-smooth load matrices the main singularities of the matrices are in fact contained in their Born approximations. The singularities are measured in the scale of Sobolev spaces.