Upper semicontinuity of uniform attractors for nonclassical diffusion equations

被引：7

作者：

Wang, Yonghai ^{[1
]}

Li, Pengrui ^{[1
]}

Qin, Yuming ^{[1
]}

机构：

[1] Donghua Univ, Dept Appl Math, Shanghai 201620, Peoples R China

来源：

BOUNDARY VALUE PROBLEMS | 2017年

基金：

中国国家自然科学基金;

关键词：

nonautonomous; nonclassical diffusion equation; uniform attractor; upper semicontinuity; DYNAMICS; SYSTEMS;

D O I：

10.1186/s13661-017-0816-7

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We study the upper semicontinuity of a uniform attractor for a nonautonomous nonclassical diffusion equation with critical nonlinearity. In particular, we prove that the uniform (with respect to (w.r.t.) g is an element of Sigma) attractor A(Sigma)(epsilon) (epsilon >= 0) for equation (1.1) satisfies lim(epsilon ->epsilon 0) dist(H01(Omega))(A(Sigma)(epsilon) , A(Sigma)(epsilon 0) ) = 0 for any epsilon(0) >= 0.

引用

页数：11

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