Asymptotics of a spectral-sieve problem

作者：Amirat Youcef^*; Bodart Olivier; Chechkin Gregory A; Piatnitski Andrey L

来源：Journal of Mathematical Analysis and Applications, 2016, 435(2): 1652-1671.

DOI：10.1016/j.jmaa.2015.11.014

• Steklov spectral problem
• Homogenization

In a bounded domain with a thin periodically punctured interface we study the limit behavior of the bottom of spectrum for a Steklov type spectral problem, the Steklov boundary condition being imposed on the perforation surface. For a certain range of parameters we construct the effective spectral problem and justify the convergence of eigenpairs.

• 出版日期2016-3-15