A Blow-up Result with Arbitrary Positive Initial Energy for Nonlinear Wave Equations with Degenerate Damping Terms  

作　　者：SU Xiao WANG Shubin 

机构地区：[1]College of Science,Henan University of Technology,Zhengzhou 450001,China. [2]School of Mathematics and Statistics,Zhengzhou University,Zhengzhou 450001,China.

出　　处：《Journal of Partial Differential Equations》2019年第2期181-190,共10页偏微分方程（英文版）

基　　金：The project is supported by the Doctor Foundation of Henan University of Technology(2017BS029);the Fundamental Research Funds for the Henan Provincial Colleges and Universities in Henan University of Technology(2018QNJH19);the National Natural Science Foundations of China(11171311,11801145).

摘　　要：This article is concerned with the finite time blow-up of weak solutions to the wave equations with nonlinear damping and source terms.We provide the sufficient conditions of finite time blow-up of weak solutions with arbitrary positive initial energy by constructing a energy perturbation function.

关 键 词：Wave EQUATIONS BLOW-UP ARBITRARY positive initial energy. 

分 类 号：O175.27[理学—数学]