WELL-POSEDNESS FOR THE CAUCHY PROBLEM OF THE KLEIN-GORDON-ZAKHAROV SYSTEM IN 2D

被引：4

作者：

Kinoshita, Shinya ^{[1
]}

机构：

[1] Nagoya Univ, Grad Sch Math, Chikusa Ku, Nagoya, Aichi 4648602, Japan

来源：

DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS | 2018年 / 38卷 / 03期

关键词：

Well-posedness; Cauchy problem; low regularity; bilinear estimate; Strichartz estimate; LOCAL EXISTENCE; WAVE-EQUATIONS; DIMENSIONS;

D O I：

10.3934/dcds.2018061

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper is concerned with the Cauchy problem of the KleinGordon-Zakharov system with very low regularity initial data. We prove the bilinear estimates which are crucial to get the local in time well-posedness. The estimates are established by the Fourier restriction norm method. We utilize the nonlinear version of the classical Loomis-Whitney inequality.

引用

页码：1479 / 1504

页数：26

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