Analysis of the quadratic term in the backscattering transformation

• Autores: Ingrid Beltita, A. Melin
• Localización: Mathematica scandinavica, ISSN 0025-5521, Vol. 105, Nº 2, 2009, págs. 218-234
• Idioma: inglés
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• Resumen

  • 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.