摘要
We will study the inverse scattering problem for the Navier equation in elasticity with live loads. We will see that in very special cases the load matrix can be recovered from scattering amplitudes as high energy limits. This fact motivates the definition of a Born approximation of the load from fixed angle scattering data. We will see that for nonsmooth 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.
- 出版日期2012