具时间依赖系数和耗散边界的非线性波方程的能量指数衰减性

Exponential decay of energy for nonlinear wave equations with time-dependent coefficients and dissipative boundary condition

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摘要利用能量法证明了具耗散边界条件和时间依赖系数的非线性波方程的能量指数衰减性. By using the perturbed-energy method, the exponential decay of the solution is obtained for the nonlinear wave equations with time-dependent coefficients and dissipative boundary condition.

作者呼青英张宏伟

机构地区河南工业大学理学院

出处《纯粹数学与应用数学》 CSCD 北大核心 2006年第3期386-391,398,共7页 Pure and Applied Mathematics

基金国家自然科学基金(10371111) 河南省教育厅基金资助

关键词非线性波方程耗散边界条件指数稳定性 wave equations, dissipative boundary condition, exponential decay

分类号 O175.29 [理学—基础数学] O175.21 [理学—基础数学]

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参考文献2

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纯粹数学与应用数学

2006年第3期

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具时间依赖系数和耗散边界的非线性波方程的能量指数衰减性

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