Global solution in a weak energy class for Klein-Gordon-Schrodinger system

被引：0

作者：

Shi, Qihong ^{[1
]}

Jia, Yaqian ^{[1
]}

Wang, Xunyang ^{[1
,2
]}

机构：

[1] Lanzhou Univ Technol, Dept Math, Lanzhou 730050, Peoples R China

[2] State Grid Gansu Elect Power Res Inst, Lanzhou 730070, Peoples R China

来源：

ELECTRONIC RESEARCH ARCHIVE | 2022年 / 30卷 / 02期

关键词：

KGS system; weak solution; global wellposedness; energy space; CAUCHY-PROBLEM; EQUATIONS; SPACE;

D O I：

10.3934/era.2022033

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Based on the possible singularity of stationary state, we revisit the initial boundary value problem of the classical Klein-Gordon-Schrodinger (KGS) system in one space dimension. The well-posedness is established in a class of Sobolev NLS solutions together with exponentially growing KG solutions.

引用

页码：633 / 643

页数：11

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