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Estimates for the scattering map associated to a two-dimensional first order system | | Russell M. Brown
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15 Jun 2001 | | Journal: | J. Nonlinear Science 11 (2001), 459-471 | | Subject: | Analysis of PDEs MSC-class: 37K10 (primary) | math.AP | | Abstract: | 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. | | Source: | arXiv, math.AP/0106134 | | Services: | Forum | Review | PDF | Favorites | |
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