Resumen de Analysis of the quadratic term in the backscattering transformation

Ingrid Beltita, A. Melin

• The quadratic term in the Taylor expansion at the origin of the backscattering transformation in odd dimensions n≥3 gives rise to a symmetric bilinear operator B2 on C∞0(Rn)×C∞0(Rn). In this paper we prove that B2 extends to certain Sobolev spaces with weights and show that it improves both regularity and decay.