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.

引用

页码：3929 / 3941

页数：13

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