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
- DOI: 10.7146/math.scand.a-15116
- Enlaces
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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.
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