Francesco Ferraresso

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20212025

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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 $R^{3}$ . We show that the Maxwell eigenvalues converge to the Laplacian eigenvalues of…

math.SP2021

On the eigenvalues of the biharmonic operator with Neumann boundary conditions on a thin set

Francesco Ferraresso, Luigi Provenzano

Let $Ω$ be a bounded domain in $R^{2}$ with smooth boundary $\partial Ω$ , and let $ω_{h}$ be the set of points in $Ω$ whose distance from the boundary is smaller than $h$ . We pr…