Uniform boundary controllability and homogenization of wave equations

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).

Automated summary

Sharp convergence rates for solutions of wave equations in a bounded domain with rapidly oscillating periodic coefficients are obtained using Dirichlet correctors and are used to prove exact boundary controllability. The results ensure uniformity in the projection of solutions to the subspace generated by eigenfunctions with eigenvalues less than C epsilon(-2/3).