一类非线性波动方程位势井深度函数的连续性(英文)  

Continuity of Depth Functions of Potential Well Family for a Class of Nonlinear Wave Equations

作　　者：莫海平[1] 刘洋[2] 于涛[3] 

机构地区：[1]绥化学院数学与信息科学学院,黑龙江绥化152061 [2]西北民族大学计算机与信息工程学院,甘肃兰州730124 [3]哈尔滨工程大学理学院,黑龙江哈尔滨150001

出　　处：《应用数学》2011年第1期126-130,共5页Mathematica Applicata

基　　金：Supported by Natural Science Foundation of Heilongjiang Province ( A2007-02,A200810);Science and Teachnology Project of Heilongjiang Province Education Department(11551560)

摘　　要：本文研究一类非线性波动方程位势井深度函数的连续性.通过引入位势井深度函数并给出其性质,给出了位势井深度函数连续性的证明.而位势井深度函数连续性保证了在其基础上得到的位势井族有意义.Study the continuity of the depth function of a family of potential wells for a class of nonlinear wave equations. By introducing the depth functions and giving some properties of them, the proof of the continuity of the depth function is completed. The continuity of depth function can make the related properties of potential well family reasonable.

关 键 词：连续性 位势井族 深度 波动方程 

分 类 号：O175.29[理学—数学]