On the regularity of solutions to a class of nonlinear dispersive equations

On the regularity of solutions to a class of nonlinear dispersive equations

We shall study special regularity properties of solutions to some nonlinear dispersive models. The goal is to show how regularity on the initial data is transferred to the solutions. This will depend on the spaces where regularity is measured.

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Veröffentlicht in:Mathematische annalen 2017-10, Vol.369 (1-2), p.797-837
Hauptverfasser: Linares, Felipe, Ponce, Gustavo, Smith, Derek L.
Format: Artikel
Sprache:eng
Schlagworte:
Dispersion
Mathematics
Mathematics and Statistics
Nonlinear equations
Regularity
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Beschreibung
Zusammenfassung:We shall study special regularity properties of solutions to some nonlinear dispersive models. The goal is to show how regularity on the initial data is transferred to the solutions. This will depend on the spaces where regularity is measured.
ISSN:0025-5831
1432-1807
DOI:10.1007/s00208-016-1452-8