一类具记忆项的二阶非线性发展方程的能量衰减估计

The Energy Decay Estimates for General Second Order Nonlinear Evolution Equations with Memory

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摘要主要研究一类具有记忆项的二阶非线性发展方程的能量衰减估计,通过运用积分不等式以及索布列夫空间嵌入定理,证明该方程柔和解的能量呈指数衰减。 The paper studied the energy decay estimates for general second order nonlinear evolution equations with memory. Based on the integral inequality and Sobolev embedding theorem,it has been confirmed that the energy of mild solution decays with exponential rate.

作者吴佳睿蒲志林

机构地区四川师范大学数学与软件科学学院

出处《西华师范大学学报（自然科学版）》 2016年第1期10-16,1,共7页 Journal of China West Normal University(Natural Sciences)

基金四川省科技计划项目(2015JY0125)

关键词全局存在性指数衰减非线性波方程积分微分方程 global existence exponential decay nonlinear wave equations integro-differential equations

分类号 O19 [理学—基础数学]

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西华师范大学学报（自然科学版）

2016年第1期

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一类具记忆项的二阶非线性发展方程的能量衰减估计

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