Uniform boundary controllability and homogenization of wave equations

被引：4

作者：

Lin, Fanghua ^{[1
]}

Shen, Zhongwei ^{[2
]}

机构：

[1] Courant Inst Math Sci, 251 Mercer St, New York, NY 10012 USA

[2] Univ Kentucky, Dept Math, Lexington, KY 40506 USA

来源：

JOURNAL OF THE EUROPEAN MATHEMATICAL SOCIETY | 2022年 / 24卷 / 09期

关键词：

Boundary controllability; oscillating coefficient; wave equation; homogenization; convergence rate; FREQUENCY ASYMPTOTIC ANALYSIS; SPECTRAL APPROACH; STABILIZATION;

D O I：

10.4171/JEMS/1137

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We obtain sharp convergence rates, using Dirichlet correctors, for solutions of wave equations in a bounded domain with rapidly oscillating periodic coefficients. The results are used to prove the exact boundary controllability that is uniform in " (the scale of the microstructure) for the projection of solutions to the subspace generated by the eigenfunctions with eigenvalues less than C epsilon(-2/3).

引用

页码：3031 / 3053

页数：23

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