Splitting a multiple eigenvalue in the boundary value problem for a membrane clamped on a small part of the boundary

General topics in linear spectral theory for PDEs (35P05) Completeness of eigenfunctions and eigenfunction expansions in context of PDEs (35P10) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05)

Related Items (10)

Eigenvalues of the Laplacian in a disk with the Dirichlet condition on finitely many small boundary parts in the critical case ⋮ On an eigenvalue for the Laplace operator in a disk with Dirichlet boundary condition on a small part of the boundary in a critical case ⋮ Unnamed Item ⋮ Perturbation of the Steklov problem on a small part of the boundary ⋮ Eigenvalues of the Laplacian with moving mixed boundary conditions: the case of disappearing Dirichlet region ⋮ Operator estimates for elliptic problem with rapidly alternating Steklov boundary condition ⋮ Asymptotics of solutions to the spectral elasticity problem for a two-dimensional body with a small cavern ⋮ Asymptotic expansion of eigenelements of the Laplace operator in a domain with a large number of ‘light’ concentrated masses sparsely situated on the boundary. Two-dimensional case ⋮ Operator \(L_2\)-estimates for two-dimensional problems with rapidly alternating boundary conditions ⋮ Eigenvalues of the Laplacian with moving mixed boundary conditions: the case of disappearing Neumann region

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