17 citations · 39 across the 17 of their papers we have counts for
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The Functional Analytic Approach for quasi-periodic boundary value problems for the Helmholtz equation
Roberto Bramati, Matteo Dalla Riva, Paolo Luzzini +1
We lay down the preliminary work to apply the Functional Analytic Approach to quasi-periodic boundary value problems for the Helmholtz equation. This consists in introducing a quas…
A degenerating Robin-type traction problem in a periodic domain
Matteo Dalla Riva, Gennady Mishuris, Paolo Musolino
We consider a linearly elastic material with a periodic set of voids. On the boundaries of the voids we set a Robin-type traction condition. Then we investigate the asymptotic beha…
Integral equation method for a Robin-type traction problem in a periodic domain
Matteo Dalla Riva, Gennady Mishuris, Paolo Musolino
In this note, we consider a Robin-type traction problem for a linearly elastic body occupying an infinite periodically perforated domain. After proving the uniqueness of the soluti…
Shape analyticity and singular perturbations for layer potential operators
Matteo Dalla Riva, Paolo Luzzini, Paolo Musolino
We study the effect of regular and singular domain perturbations on layer potential operators for the Laplace equation. First, we consider layer potentials supported on a diffeomor…
A perturbation result for a Neumann problem in a periodic domain
Matteo Dalla Riva, Paolo Luzzini, Paolo Musolino
We consider a Neumann problem for the Laplace equation in a periodic domain. We prove that the solution depends real analytically on the shape of the domain, on the periodicity par…