JournalsjemsVol. 24, No. 9pp. 3031–3053

Uniform boundary controllability and homogenization of wave equations

  • Fanghua Lin

    New York University, USA
  • Zhongwei Shen

    University of Kentucky, Lexington, USA
Uniform boundary controllability and homogenization of wave equations cover
Download PDF

This article is published open access under our Subscribe to Open model.

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 ε\varepsilon (the scale of the microstructure) for the projection of solutions to the subspace generated by the eigenfunctions with eigenvalues less than Cε2/3C\varepsilon^{-2/3}.

Cite this article

Fanghua Lin, Zhongwei Shen, Uniform boundary controllability and homogenization of wave equations. J. Eur. Math. Soc. 24 (2022), no. 9, pp. 3031–3053

DOI 10.4171/JEMS/1137