Analysis of the quadratic term in the backscattering transformation

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dc.creatorBeltita, Ingrid
dc.creatorMelin, Anders
dc.date2008-01-15
dc.date.accessioned2026-07-07T08:54:32Z
dc.date.available2026-07-07T08:54:32Z
dc.descriptionThe quadratic term in the Taylor expansion at the origin of the backscattering transformation in odd dimensions $n\ge 3$ gives rise to a symmetric bilinear operator $B_2$ on $C_0^\infty({\mathbb R}^n)\times C_0^\infty({\mathbb R}^n)$. In this paper we prove that $B_2$ extends to certain Sobolev spaces with weights and show that it improves both regularity and decay.
dc.description14 pages
dc.identifierhttps://arxiv.org/abs/0801.2230
dc.identifierhttp://arxiv.org/abs/0801.2230
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/145966
dc.subjectAnalysis of PDEs
dc.subjectMathematical Physics
dc.subject81U40; 35R30
dc.titleAnalysis of the quadratic term in the backscattering transformation
dc.typetext

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