ON EXISTENCE OF GLOBAL SOLUTIONS OF SCHRÖDINGER EQUATIONS WITH SUBCRITICAL NONLINEARITY FOR &Lcirc;<superscript>p</superscript>-INITIAL DATA.
In: Proceedings of the American Mathematical Society, Jg. 140 (2012-11-01), Heft 11, S. 3905-3920
Online
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Zugriff:
We construct a local theory of the Cauchy problem for the nonlinear Schrödinger equations iu t + u xx ± |u| α-1 u = 0, x? R, t? R, u(0, x) = u 0 (x) with α E (1, 5) and u0 E &Lcirc; p p(R) when p lies in an open neighborhood of 2. Moreover we prove the global existence for the initial value problem when p is sufficiently close to 2. [ABSTRACT FROM AUTHOR]
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| Titel: |
ON EXISTENCE OF GLOBAL SOLUTIONS OF SCHRÖDINGER EQUATIONS WITH SUBCRITICAL NONLINEARITY FOR &Lcirc;<superscript>p</superscript>-INITIAL DATA.
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| Autor/in / Beteiligte Person: | Hyakuna, Ryosuke ; Tsutsumi, Masayoshi |
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| Zeitschrift: | Proceedings of the American Mathematical Society, Jg. 140 (2012-11-01), Heft 11, S. 3905-3920 |
| Veröffentlichung: | 2012 |
| Medientyp: | academicJournal |
| ISSN: | 0002-9939 (print) |
| DOI: | 10.1090/S0002-9939-2012-11314-0 |
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