Stability estimates for an inverse scattering problem at high   frequencies
  We consider an inverse scattering problem and its near-field approximation at high frequencies. We first prove, for both problems, Lipschitz stability results for determining the low-frequency component of the potential. Then we show that, in the case of a radial potential supported sufficiently near the boundary, infinite resolution can be achieved from measurements of the near-field operator in the monotone case. 
Habib Ammari (DMA), Hajer Bahouri (LAMA), David Dos Santos Ferreira   (IG), Isabelle Gallagher (IMJ)
math.AP