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arXiv · 1501.04669

Action of a scattering map on weighted Sobolev spaces in the plane

R. M. Brown·K. A. Ott·P. A. Perry
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Abstract

We consider a scattering map that arises in the $\bar \partial $-approach to the scattering theory for the Davey-Stewartson II equation and show that the map is an invertible map between certain weighted $L^2$ Sobolev spaces.

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R. M. Brown, K. A. Ott, P. A. Perry. 2015-01-19. Action of a scattering map on weighted Sobolev spaces in the plane. https://arxiv.org/abs/1501.04669

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