Finite time blowup for Klein-Gordon-Schrodinger system

被引：8
|
作者：
Shi, Qihong [1 ]
Zhang, Xiao-Bing [1 ]
Wang, Changyou [2 ]
Wang, Shu [3 ]
机构：
[1] Lanzhou Univ Technol, Sch Math, Lanzhou 730050, Gansu, Peoples R China
[2] Chengdu Univ Informat Technol, Coll Appl Math, Chengdu 610103, Sichuan, Peoples R China
[3] Beijing Univ Technol, Coll Appl Sci, Beijing 100124, Peoples R China
来源：
MATHEMATICAL METHODS IN THE APPLIED SCIENCES | 2019年 / 42卷 / 11期
基金：
中国国家自然科学基金;
关键词：
blowup results; KGS system; negative energy; virial identity; GLOBAL-SOLUTIONS; UP SOLUTIONS; EQUATION; EXISTENCE; FIELD; MODEL;
D O I：
10.1002/mma.5621
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We investigate the blowup solutions to the Klein-Gordon-Schrodinger (KGS) system with power nonlinearity in spatial dimensions RN (N >= 2). Relying on a Lyapunov functional, we establish a perturbed virial-type identity and prove the existence of blowup solutions for the system with a negative energy and small mass. Moreover, we obtain a new finite-time blowup result of solutions to KGS system in the energy space by constructing a differential inequality.
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页码：3929 / 3941
页数：13
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