Analysis of the quadratic term in the backscattering transformation
DOI:
https://doi.org/10.7146/math.scand.a-15116Abstract
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.Downloads
Published
2009-12-01
How to Cite
Beltita, I., & Melin, A. (2009). Analysis of the quadratic term in the backscattering transformation. MATHEMATICA SCANDINAVICA, 105(2), 218–234. https://doi.org/10.7146/math.scand.a-15116
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