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arXiv · 1904.12172

Uniform Boundary Controllability and Homogenization of Wave Equations

Fanghua Lin·Zhongwei Shen
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Abstract

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 $\epsilon$ - the scale of the microstructure, for the projection of solutions to the subspace generated by the eigenfunctions with eigenvalues less that $C\epsilon^{-1/2}$.

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Fanghua Lin, Zhongwei Shen. 2019-04-27. Uniform Boundary Controllability and Homogenization of Wave Equations. https://arxiv.org/abs/1904.12172

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