Enhancement of the Zakharov–Glassey’s method for Blow-up in nonlinear Schrödinger equations

In this paper we give a sharper sufficient condition for blow-up of the solution to a nonlinear Schrödinger equation with free/Stark/quadratic potential by improving the well known Zakharov–Glassey’s method.

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Bibliographische Detailangaben
Veröffentlicht in:	Journal of physics. A, Mathematical and theoretical Mathematical and theoretical, 2023-01, Vol.56 (4), p.45203
1. Verfasser:	Sacchetti, Andrea
Format:	Artikel
Sprache:	eng
Schlagworte:	blow-up solutions Ehrenfest’s theorem nonlinear Schrödinger equation Zakharov–Glassey’s method
Online-Zugang:	Volltext
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Beschreibung
Zusammenfassung:	In this paper we give a sharper sufficient condition for blow-up of the solution to a nonlinear Schrödinger equation with free/Stark/quadratic potential by improving the well known Zakharov–Glassey’s method.
ISSN:	1751-8113 1751-8121
DOI:	10.1088/1751-8121/acb7b5