Pelinovsky, Dmitry E., Saalmann, Aaron and Shimabukuro, Yusuke (2017). The derivative NLS equation: global existence with solitons. Dyn. Partial Differ. Equ., 14 (3). S. 271 - 295. SOMERVILLE: INT PRESS BOSTON, INC. ISSN 1548-159X
Full text not available from this repository.Abstract
We prove the global existence result for the derivative NLS equation in the case when the initial datum includes a finite number of solitons. This is achieved by an application of the Backlund transformation that removes a finite number of zeros of the scattering coefficient. By means of this transformation, the Riemann-Hilbert problem for meromorphic functions can be formulated as the one for analytic functions, the solvability of which was obtained recently. A major difficulty in the proof is to show invertibility of the Backlund transformation acting on weighted Sobolev spaces.
Item Type: | Journal Article | ||||||||||||||||
Creators: |
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URN: | urn:nbn:de:hbz:38-245296 | ||||||||||||||||
Journal or Publication Title: | Dyn. Partial Differ. Equ. | ||||||||||||||||
Volume: | 14 | ||||||||||||||||
Number: | 3 | ||||||||||||||||
Page Range: | S. 271 - 295 | ||||||||||||||||
Date: | 2017 | ||||||||||||||||
Publisher: | INT PRESS BOSTON, INC | ||||||||||||||||
Place of Publication: | SOMERVILLE | ||||||||||||||||
ISSN: | 1548-159X | ||||||||||||||||
Language: | English | ||||||||||||||||
Faculty: | Unspecified | ||||||||||||||||
Divisions: | Unspecified | ||||||||||||||||
Subjects: | no entry | ||||||||||||||||
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Refereed: | Yes | ||||||||||||||||
URI: | http://kups.ub.uni-koeln.de/id/eprint/24529 |
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