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arXiv · 0801.2230

Analysis of the quadratic term in the backscattering transformation

Ingrid Beltita·Anders Melin
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Abstract

The 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.

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Ingrid Beltita, Anders Melin. 2008-01-15. Analysis of the quadratic term in the backscattering transformation. https://arxiv.org/abs/0801.2230

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