Uniform boundary controllability and homogenization of wave equations

Fanghua Lin, Zhongwei Shen

Research output: Contribution to journalArticlepeer-review

1 Scopus citations


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∈-2=3.

Original languageEnglish
Pages (from-to)3031-3053
Number of pages23
JournalJournal of the European Mathematical Society
Issue number9
StatePublished - 2022

Bibliographical note

Funding Information:
Funding. Research supported in part by NSF grant DMS-1501000. Research of Zhongwei Shen supported in part by NSF grant DMS-1600520.

Publisher Copyright:
© 2022 European Mathematical Society Publishing House. All rights reserved.


  • Boundary controllability
  • convergence rate
  • homogenization
  • oscillating coefficient
  • wave equation

ASJC Scopus subject areas

  • Mathematics (all)
  • Applied Mathematics


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