JournalsrmiVol. 31, No. 4pp. 1423–1458

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

  • Juan Antonio Barceló

    Universidad Politécnica de Madrid, Spain

  • Magali Folch-Gabayet

    Universidad Nacional Autónoma de México, México, D.F., Mexico

  • Salvador Pérez-Esteva

    UNAM, Unidad Cuernavaca, Cuernavaca, Mexico

  • Alberto Ruiz

    Universidad Autónoma de Madrid, Spain

  • Mari Cruz Vilela

    Universidad de Valladolid, Segovia, Spain
A Born approximation from backscattering data for live loads in Lamé system cover
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Abstract

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.

Cite this article

Juan Antonio Barceló, Magali Folch-Gabayet, Salvador Pérez-Esteva, Alberto Ruiz, Mari Cruz Vilela, A Born approximation from backscattering data for live loads in Lamé system. Rev. Mat. Iberoam. 31 (2015), no. 4, pp. 1423–1458

DOI 10.4171/RMI/875