Pullback Attractors for a Damped Semilinear Wave Equation with Delays

被引：5

作者：

Kai Xuan ZHU ^{[1
]}

Yong Qin XIE ^{[2
]}

Feng ZHOU ^{[3
]}

机构：

[1] Hu'nan Province Cooperative Innovation Center for the Construction and Development of Dongting Lake Ecological Economic Zone,and College of Mathematics and Computational Science, Hu'nan University of Arts and Science

[2] School of Mathematics and Statistics, Changsha University of Science and Technology

[3] College of Science, China University of Petroleum (East

来源：

ActaMathematicaSinica | 2018年 / 34卷 / 07期

关键词：

D O I：

暂无

中图分类号：

学科分类号：

摘要：

In this paper, we consider the weakly damped wave equations with hereditary effects, and the nonlinearity f satisfies critical growth. The delay term g（t, ut） may be driven by a function with very weak assumptions, namely, just measurability. We analyze the well-posedness of solutions and verify the existence of the pullback D-attractor in CH0～1（Ω）×CL2（Ω）by constructing the energy functional and combining with the idea of the contractive function.

引用

页码：1131 / 1150

页数：20

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[J]. Acta Mathematica Sinica, English Series, 2018, 34 : 1131 - 1150
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