Sharp criterion of global existence for a class of nonlinear Schrödinger equations with critical exponent

This paper discusses the inhomogeneous nonlinear Schrödinger equation with critical exponent. By constructing a variational problem and the so-called invariant manifolds of the evolution flow, we derive a sharp criterion for blowup and global existence of the solutions.

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Year of publication:	2015
Authors:	Xu, Runzhang ; Wang, Xuemei ; Niu, Yi ; Zhang, Mingyou ; Liu, Jie
Published in:	Mathematics and Computers in Simulation (MATCOM). - Elsevier, ISSN 0378-4754. - Vol. 107.2015, C, p. 46-51
Publisher:	Elsevier
Subject:	Sharp condition \| Invariant manifold \| Global existence \| Blow up \| Schrödinger equation

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Type of publication:	Article
Source:	RePEc - Research Papers in Economics

Persistent link: https://www.econbiz.de/10011077433