Sharp conditions of global existence for nonlinear Schrödinger equation with a harmonic potential
Abstract: The Cauchy problem of nonlinear Schrödinger equation with a harmonic potential for describing the attractive Bose-Einstein condensate under the magnetic trap is considered. We give some sufficient conditions of global existence and finite time blow up of solutions by introducing a family of potential wells. Some different sharp conditions for global existence, and some invariant sets of solutions are also obtained here.
- Location
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Deutsche Nationalbibliothek Frankfurt am Main
- Extent
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Online-Ressource
- Language
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Englisch
- Bibliographic citation
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Sharp conditions of global existence for nonlinear Schrödinger equation with a harmonic potential ; volume:9 ; number:1 ; year:2019 ; pages:882-894 ; extent:13
Advances in nonlinear analysis ; 9, Heft 1 (2019), 882-894 (gesamt 13)
- Creator
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Zhang, Mingyou
Ahmed, Md Salik
- DOI
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10.1515/anona-2020-0031
- URN
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urn:nbn:de:101:1-2405021619200.920698643629
- Rights
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Open Access; Der Zugriff auf das Objekt ist unbeschränkt möglich.
- Last update
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14.08.2025, 10:46 AM CEST
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Associated
- Zhang, Mingyou
- Ahmed, Md Salik
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