3 papers
math.SP2025
A note on the Maxwell's eigenvalues on thin sets
Francesco Ferraresso, Luigi Provenzano
We analyse the Maxwell's spectrum on thin tubular neighborhoods of embedded surfaces of . We show that the Maxwell eigenvalues converge to the Laplacian eigenvalues of…
math.AP2024
Spectral convergence for the Reissner-Mindlin system in arbitrary dimension
Davide Buoso, Francesco Ferraresso
We establish the convergence of the resolvent of the Reissner-Mindlin system in any dimension , with any of the physically relevant boundary conditions, to the resolvent…
math.SP2021
On the eigenvalues of the biharmonic operator with Neumann boundary conditions on a thin set
Francesco Ferraresso, Luigi Provenzano
Let be a bounded domain in with smooth boundary , and let be the set of points in whose distance from the boundary is smaller than . We pr…