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

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

2001-06-15

arxiv.org/abs/math/0106134v2

J. Nonlinear Science 11 (2001), 459-471

Mathematics

Analysis of PDEs

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

Scientific paper

10.1007/s00332-001-0394-8

We consider the scattering transform for the first order system in the plane,
(D-Q) \psi =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.

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