Analysis of the Quadratic Term in the Backscattering Transformation

• 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 B-2 on C-0(infinity)(R-n) x C-0(infinity)(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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NATURVETENSKAP  -- Matematik (hsv//swe)

NATURAL SCIENCES  -- Mathematics (hsv//eng)

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