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http://hdl.handle.net/10773/29515| Title: | Global solution of the initial value problem for the focusing Davey-Stewartson II system |
| Author: | Lakshtanov, Evgeny Vainberg, Boris |
| Keywords: | Davey-Stewartson ∂-method Dirac equation Exceptional point Inverse problem |
| Issue Date: | 2-Mar-2020 |
| Publisher: | Yokohama Publishers |
| Abstract: | We consider the two dimensional focusing Davey-Stewartson II system and construct the global solution of the Cauchy problem for a dense in L 2 (C) set of initial data. We do not assume that the initial data is small. So, the solutions may have singularities. We show that the blow-up may occur only on a real analytic variety and the variety is bounded in each strip t ≤ T. |
| Peer review: | yes |
| URI: | http://hdl.handle.net/10773/29515 |
| ISSN: | 2189-3756 |
| Publisher Version: | http://www.ybook.co.jp/online2/oppafa/vol5/p369.html |
| Appears in Collections: | CIDMA - Artigos DMat - Artigos OGTCG - Artigos |
Files in This Item:
| File | Description | Size | Format | |
|---|---|---|---|---|
| 1803.00955.pdf | 329.48 kB | Adobe PDF | View/Open |
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