Gain in regularity for a coupled nonlinear Schrödinger system

Gain in regularity for a coupled nonlinear Schrödinger system

We study the gain of regularity for the initial value problem for acoupled nonlinear Schrödinger system that describes some physical phenomena such as the propagation in birefringent optical fibers, Kerr-like photo refractive media in optics and Bose-Einstein condensates. This study is motivated by...

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Veröffentlicht in:Boletim da Sociedade Paranaense de Matemática 2006-01, Vol.24 (1-2), p.41-68
Hauptverfasser: Villagrán, Octavio V., Ceballos, Juan C., Sepúlveda, Mauricio
Format: Artikel
Sprache:eng
Schlagworte:
gain of regularity
Schrödinger equations
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Zusammenfassung:We study the gain of regularity for the initial value problem for acoupled nonlinear Schrödinger system that describes some physical phenomena such as the propagation in birefringent optical fibers, Kerr-like photo refractive media in optics and Bose-Einstein condensates. This study is motivated by the results obtained by N. Hayashi et al.
ISSN:0037-8712
2175-1188
DOI:10.5269/bspm.v24i1-2.7439