LOCAL WELL-POSEDNESS FOR THE KLEIN-GORDON-ZAKHAROV SYSTEM IN 3D

被引：0
|
作者：
Pecher, Hartmut [1 ]
机构：
[1] Berg Univ Wuppertal, Fak Math & Nat Wissensch, Gaussstr 20, D-42119 Wuppertal, Germany
来源：
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS | 2021年 / 41卷 / 04期
关键词：
Klein-Gordon-Zakharov; local well-posedness; low regularity; Fourier restriction norm method; bilinear estimates; CAUCHY-PROBLEM;
D O I：
10.3934/dcds.2020338
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We study the Cauchy problem for the Klein-Gordon-Zakharov system in 3D with low regularity data. We lower down the regularity to the critical value with respect to scaling up to the endpoint. The decisive bilinear estimates are proved by means of methods developed by Bejenaru-Herr for the Zakharov system and already applied by Kinoshita to the Klein-Gordon-Zakharov system in 2D.
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页码：1707 / 1736
页数：30
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