257 research outputs found
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 \e - the scale of the microstructure, for the projection
of solutions to the subspace generated by the eigenfunctions with eigenvalues
less that C\e^{-2/3}.Comment: 22 page
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