Estimates for the scattering map associated to a two-dimensional first order system

Abstract

We consider the scattering transform for the first order system in the plane, (D-Q) ψ=0 where D is the 2x2 diagonal matrix differential operator whose diagonal entries are d-bar and d and Q is a 2x2 off-diagonal matrix. We show that the scattering map is Lipschitz continuous on a neighborhood of zero in L^2.

13 pages, 14 references, no figures v2. corrects typoes and improves the exposition

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