Journal
JOURNAL OF THE EUROPEAN MATHEMATICAL SOCIETY
Volume 24, Issue 9, Pages 3031-3053Publisher
EUROPEAN MATHEMATICAL SOC-EMS
DOI: 10.4171/JEMS/1137
Keywords
Boundary controllability; oscillating coefficient; wave equation; homogenization; convergence rate
Categories
Funding
- NSF [DMS-1600520]
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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).
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).
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