具阻尼项非线性波动方程整体解的性质分析（英文）  

The Character Analysis of the Global Solutions to a Class of Nonlinear Wave Equations with Damped Term

作　　者：张媛媛[1] 王宏伟[2] 

机构地区：[1]开封大学数学教研部,河南开封475000 [2]安阳师范学院数学与统计学院,河南安阳455000

出　　处：《安徽师范大学学报（自然科学版）》2017年第6期524-528,共5页Journal of Anhui Normal University(Natural Science)

基　　金：National Natural Science Foundation of China(10971199);Colleges and Universities in Henan Province Key Scientific Research Project for 2018(18B110013);Science and Technology Development Plan Project of Kaifeng for 2017

摘　　要：研究一类具阻尼项非线性波动方程整体解的存在性,借助偏微分方程的一些标准技巧对非线性项进行估计,利用嵌入定理和算子半群的方法证明了在相对较弱的条件下上述问题整体解的存在性,并对解的性质进行了分析.The existence of the global solutions to a class of nonlinear wave equations with damped term was studied. By some standard methods the nonlinear terms were estimated. By embedding theorem and the method of semigroup,under rather mild conditions the existence of the global solutions for the abovementioned problem was obtained. And the character of the solutions was analyzed.

关 键 词：整体解 存在性 正则性 阻尼项 

分 类 号：O175.29[理学—数学]