38 citations · 38 across the 2 of their papers we have counts for
2 papers
math.AP2006★ 38 cited
Asymptotics of Eigenvalues and Eigenfunctions for the Laplace Operator in a Domain with Oscillating Boundary. Multiple Eigenvalue Case
Youcef Amirat, Gregory A. Chechkin, Rustem R. Gadyl'shin
We study the asymptotic behavior of the solutions of a spectral problem for the Laplacian in a domain with rapidly oscillating boundary. We consider the case where the eigenvalue o…
math-ph2003
On Boundary -- Value Problems for the Laplacian in Boundedand in Unbounded Domains Withperforated Boundaries
Gregory A. Chechkin, Rustem R. Gadyl'shin
In the paper we consider boundary -- value problems with rapidly alternating type of boundary conditions, including problems in domains with perforated boundaries. We present the c…