Inverse Scattering in 60 Minutes
Journées équations aux dérivées partielles (2016), Talk no. 8, 17 p.

This lecture reports on joint work with Robert Jenkins, Jiaqi Liu, and Catherine Sulem. We illustrate the strengths of the inverse scattering method for addressing large-time behavior of completely integrable dispersive PDE’s by proving global well-posedness and determining large-time asymptotic behavior for the Derivative Nonlinear Schrödinger equation (DNLS) for soliton-free initial data. Our work uses techniques from the work of Deift and Zhou on the defocussing NLS together with further developments due to Dieng and McLaughlin.

Published online:
DOI: 10.5802/jedp.649
Perry, Peter 1

1 Department of Mathematics University of Kentucky Lexington Kentucky 40506-0027, USA
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Perry, Peter. Inverse Scattering in 60 Minutes. Journées équations aux dérivées partielles (2016), Talk no. 8, 17 p. doi : 10.5802/jedp.649. http://archive.numdam.org/articles/10.5802/jedp.649/

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