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利用一个比较不等式和能量扰动法,对一类具有非线性二阶边界条件的波动方程整体解的衰减性做进一步研究,证明了解的衰减率和外力f(x,t)之间的关系.
Abstract：The global decay rate of solution for a class of wave equation with nonlinear second-order boundary conditions is further discussed by virtue of a comparison inequality and the energy perturbation method.The relationship between decay rate of the solutions and the external force f(x,t) is established.
[1]Doronin G G,Larkin N A.Global solvability for the quasilinear damped wave equation with nonlinear second-order bound-ary conditions[J].Nonlinear Analysis,2002,50(8):1119-1134.
[2]Zhu X.Decay rate of solutions of a wave equation with damping and external force[J].Nonlinear Analysis,2001,46(3):335-345.
基本信息:
中图分类号:O175.29
引用信息:
[1]达芳,韩献军.一类具非线性二阶边界条件的波动方程衰减率(英文)[J].郑州大学学报(理学版),2008(01):31-35.
基金信息:
国家自然科学基金资助项目,编号10671182.
2008-03-15
2008-03-15