The symplectic non-squeezing properties of mass subcritical Hartree equations

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:449

Article

Yang, Kai¹ 

[1] Univ Iowa, Dept Math, Iowa City, IA 52242 USA

关键词: Hartree equation;    Symplectic non-squeezing;    Weak well-posedness;    Finite dimensional approximation;   

DOI  :  10.1016/j.jmaa.2016.11.079

来源: Elsevier

【 摘 要 】

We prove the non-squeezing properties of all mass subcritical Hartree equations on R-d (d >= 2). The result is achieved by elaborating and generalizing some of the techniques in [13,14] by Killip-Visan-Zhang, and two major ingredients are the weak well-posedness for a sequence of changing equations and approximation to an infinite dimensional problem by finite dimensional problem. (c) 2016 Elsevier Inc. All rights reserved.

【 授权许可】

Free