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.
@article{JEDP_2016____A8_0, author = {Perry, Peter}, title = {Inverse {Scattering} in 60 {Minutes}}, journal = {Journ\'ees \'equations aux d\'eriv\'ees partielles}, note = {talk:8}, pages = {1--17}, publisher = {Groupement de recherche 2434 du CNRS}, year = {2016}, doi = {10.5802/jedp.649}, language = {en}, url = {http://www.numdam.org/articles/10.5802/jedp.649/} }
TY - JOUR AU - Perry, Peter TI - Inverse Scattering in 60 Minutes JO - Journées équations aux dérivées partielles N1 - talk:8 PY - 2016 SP - 1 EP - 17 PB - Groupement de recherche 2434 du CNRS UR - http://www.numdam.org/articles/10.5802/jedp.649/ DO - 10.5802/jedp.649 LA - en ID - JEDP_2016____A8_0 ER -
Perry, Peter. Inverse Scattering in 60 Minutes. Journées équations aux dérivées partielles (2016), Talk no. 8, 17 p. doi : 10.5802/jedp.649. http://www.numdam.org/articles/10.5802/jedp.649/
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