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math.SP2017
Spectral analysis of the biharmonic operator subject to Neumann boundary conditions on dumbbell domains
José M. Arrieta, Francesco Ferraresso, Pier Domenico Lamberti
We consider the biharmonic operator subject to homogeneous boundary conditions of Neumann type on a planar dumbbell domain which consists of two disjoint domains connected by a thi…
math.SP2009
Geometric versus spectral convergence for the Neumann Laplacian under exterior perturbations of the domain
Jose M. Arrieta, David Krejcirik
We analyze the behavior of the eigenvalues and eigenfunctions of the Laplace operator with homogeneous Neumann boundary conditions when the domain is perturbed. We focus on exterio…