A Born Approximation from Backscattering Data for Live Loads in Lamé System

نویسندگان

  • JUAN ANTONIO BARCELÓ
  • MAGALI FOLCH-GABAYET
  • SALVADOR PÉREZ-ESTEVA
  • ALBERTO RUIZ
  • MARI CRUZ VILELA
چکیده

We will study the inverse scattering problem for the Navier 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.

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تاریخ انتشار 2015