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

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

Mathematics and Computers in Simulation (MATCOM), 2015, vol. 107, issue C, 46-51

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: Sharp condition; Invariant manifold; Global existence; Blow up; Schrödinger equation (search for similar items in EconPapers)
Date: 2015
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Persistent link: https://EconPapers.repec.org/RePEc:eee:matcom:v:107:y:2015:i:c:p:46-51

DOI: 10.1016/j.matcom.2012.05.022

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