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
Hauptverfasser: Bona, J.L., Weissler, F.B.
Format: Artikel
Sprache:eng
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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.
ISSN:0022-2518
1943-5258
DOI:10.1512/iumj.2001.50.1865