3 papers
math.AP2017
Mapping properties of weakly singular periodic volume potentials in Roumieu classes
Matteo Dalla Riva, Massimo Lanza de Cristoforis, Paolo Musolino
The analysis of the dependence of integral operators on perturbations plays an important role in the study of inverse problems and of perturbed boundary value problems. In this pap…
math.AP2017
On vibrating thin membranes with mass concentrated near the boundary: an asymptotic analysis
Matteo Dalla Riva, Luigi Provenzano
We consider the spectral problem \begin{equation*} \left\{\begin{array}{ll} -Δu_{\varepsilon}=λ(\varepsilon)ρ_{\varepsilon}u_{\varepsilon} & {\rm in}\ Ω\\ \frac{\partial u_{\vareps…
math.AP2017
The Dirichlet problem in a planar domain with two moderately close holes
M. Dalla Riva, P. Musolino
We investigate a Dirichlet problem for the Laplace equation in a domain of with two small close holes. The domain is obtained by making in a bounded open set two per…