Blow-up of Spatially Periodic Complex-Valued Solutions of Nonlinear Dispersive Equations
Considered here are spatially-periodic, complex-valued solutions of a class of nonlinear, dispersive evolution equations. Some easily checked criteria are presented that imply these solutions lose regularity in finite time.
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Veröffentlicht in: | Indiana University mathematics journal 2001, Vol.50 (2), p.759-782 |
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Hauptverfasser: | , |
Format: | Artikel |
Sprache: | eng |
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Online-Zugang: | Volltext |
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Zusammenfassung: | Considered here are spatially-periodic, complex-valued solutions of a class of nonlinear, dispersive evolution equations. Some easily checked criteria are presented that imply these solutions lose regularity in finite time. |
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ISSN: | 0022-2518 1943-5258 |
DOI: | 10.1512/iumj.2001.50.1865 |