Global solutions and blow-up for a class of strongly damped wave equations systems

作     者：Yaojun YE Lanlan LI Yaojun YE;Lanlan LI

作者机构：Department of Mathematics and StatisticsZhejiang University of Science and TechnologyHangzhou 310023China 

出 版 物：《Frontiers of Mathematics in China》 (中国高等学校学术文摘·数学（英文）)

年 卷 期：2022年第17卷第5期

页      面：767-782页

核心收录：

学科分类：07[理学] 0701[理学-数学] 070101[理学-基础数学] 

基　　金：This research was supported by the Natural Science Foundation of Zhejiang Province(Grant No.LY17A010009) 

主　　题：Nonlinear wave equations systems global solutions exponential decay blow-up 

摘      要：The initial-boundary value problem for semilinear wave equation systems with a strong dissipative term in bounded domain is *** existence of global solutions for this problem is proved by using potential well method,and the exponential decay of global solutions is given through introducing an appropriate Lyapunov ***,blow-up of solutions in the unstable set is also obtained.