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一类非线性波动方程位势井深度函数的连续性(英文) 被引量:1

Continuity of Depth Functions of Potential Well Family for a Class of Nonlinear Wave Equations
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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.
出处 《应用数学》 CSCD 北大核心 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)
关键词 连续性 位势井族 深度 波动方程 Continuity Potential well family Depth Wave equation
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参考文献2

  • 1LIU Yacheng. On potential wells and vacuum isolating of solutions for semilinear wave equations[J]. Journal of Differential Equation, 2003,192 : 155-169.
  • 2LIU Yacheng, ZHAO J unsheng. Nonlinear parabolic equations with critical initial conditions J (uo) =d or I(u0 ) = 0 [J]. Nonlinear Analysis, 2004,58 : 873-883.

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