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

Juan Antonio Barceló Varcárcel, Magali Folch-Gabayet, Salvador Pérez-Esteva, Alberto Ruiz González, María de la Cruz Vilela Bendaña

• 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.