Multisolitons for the Defocusing Energy Critical Wave Equation with Potentials

被引：9

作者：

Chen, Gong ^{[1
]}

机构：

[1] Univ Chicago, Dept Math, 5734 South Univ Ave, Chicago, IL 60637 USA

来源：

COMMUNICATIONS IN MATHEMATICAL PHYSICS | 2018年 / 364卷 / 01期

关键词：

CONSTRUCTION;

D O I：

10.1007/s00220-018-3170-4

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We construct multi-soliton solutions to the defocusing energy critical wave equation with potentials in R-3 and study their asymptotic stability in the energy space based on both regular and reversed Strichartz estimates developed in [GC3]. We also study related scattering problems in the stable case. Since each soliton decays slowly with rate 1/(x), some refined estimates for the charge transfer model are also established.

引用

页码：45 / 82

页数：38

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