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

Russell M. Brown
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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.

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Russell M. Brown. 2004-05-19. Estimates for the scattering map associated to a two-dimensional first order system. https://doi.org/10.1007/s00332-001-0394-8

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