Sharp conditions of global existence for nonlinear Schrödinger equation with a harmonic potential

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 potentia...

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Hlavní autoři:	Zhang Mingyou, Ahmed Md Salik
Médium:	Artigo
Jazyk:	Inglês
Vydáno:	De Gruyter 2019-08-01
Edice:	Advances in Nonlinear Analysis
Témata:	nonlinear schrödinger equation harmonic potential potential wells global existence invariant sets
On-line přístup:	https://doi.org/10.1515/anona-2020-0031
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