Homogenization and asymptotics for a membrane with closely spaced clamping points
A two-dimensional boundary value problem with a frequently varying type of boundary conditions is considered for the Laplace operator. Conditions are presented under which the limit boundary value problem is a Neumann or a mixed problem. The first few terms of the asymptotic representations of the eigenvalues and the corresponding eigenfunctions are constructed in the case of the Neumann limit problem.
frequently varying type of boundary conditions
scientific article; zbMATH DE number 1940568