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

Article ID	Journal	Published Year	Pages	File Type
1140348	Mathematics and Computers in Simulation	2015	6 Pages	PDF

Abstract

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.

Keywords

Blow up Invariant manifold Global existence

Related Topics

Physical Sciences and Engineering Engineering Control and Systems Engineering

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

Authors

Runzhang Xu, Xuemei Wang, Yi Niu, Mingyou Zhang, Jie Liu,