18 citations · 47 across the 10 of their papers we have counts for
5 papers · 1 filter
Shape sensitivity analysis for electromagnetic cavities
Pier Domenico Lamberti, Michele Zaccaron
We study the dependence of the eigenvalues of time-harmonic Maxwell's equations in a cavity upon variation of its shape. The analysis concerns all eigenvalues both simple and multi…
On the explicit representation of the trace space and of the solutions to biharmonic Dirichlet problems on Lipschitz domains via multi-parameter Steklov problems
Pier Domenico Lamberti, Luigi Provenzano
We consider the problem of describing the traces of functions in on the boundary of a Lipschitz domain of , . We provide a definition of those sp…
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…
Neumann to Steklov eigenvalues: asymptotic and monotonicity results
Pier Domenico Lamberti, Luigi Provenzano
We consider the Steklov eigenvalues of the Laplace operator as limiting Neumann eigenvalues in a problem of mass concentration at the boundary of a ball. We discuss the asymptotic…
On the sharpness of a certain spectral stability estimate for the Dirichlet Laplacian
Pier Domenico Lamberti, Marco Perin
We consider a spectral stability estimate by Burenkov and Lamberti concerning the variation of the eigenvalues of second order uniformly elliptic operators on variable open sets in…