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.
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页码：633 / 643
页数：11
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