Weakly dissipative semilinear equations of viscoelasticity

被引：68
|
作者：
Conti, M [1 ]
Pata, V [1 ]
机构：
[1] Politecn Milan, Dipartimento Matemat F Brioschi, I-20133 Milan, Italy
来源：
COMMUNICATIONS ON PURE AND APPLIED ANALYSIS | 2005年 / 4卷 / 04期
关键词：
hyperbolic equations with memory; dynamical systems; Lyapunov functionals; gradient systems; global attractors;
D O I：
10.3934/cpaa.2005.4.705
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We consider an integro-partial differential equation of hyperbolic type with a cubic nonlinearity, in which no dissipation mechanism is present, except for the convolution term accounting for the past memory of the variable. Setting the equation in the history space framework, we prove the existence of a regular global attractor.
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页码：705 / 720
页数：16
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