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Long-time asymptotics for solutions of the NLS equation with initial data in a weighted Sobolev space | | P. Deift
; X. Zhou
; | | Date: |
21 Jun 2002 | | Subject: | Analysis of PDEs MSC-class: 35B05; 35G25 | math.AP | | Abstract: | The authors compute the long-time asymptotics for solutions of the NLS equation just under the assumption that the initial data lies in a weighted Sobolev space. In earlier work (see e.g. [DZ1],[DIZ]) high orders of decay and smoothness are required for the initial data. The method here is a further development of the steepest descent method of [DZ1], and replaces certain absolute type estimates in [DZ1] with cancellation from oscillations. | | Source: | arXiv, math.AP/0206222 | | Services: | Forum | Review | PDF | Favorites | |
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