14 citations · 19 across the 7 of their papers we have counts for
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Periodic layer potentials and domain perturbations
Roberto Bramati, Matteo Dalla Riva, Paolo Luzzini +1
In this paper, we review the construction of periodic fundamental solutions and periodic layer potentials for various differential operators. Specifically, we focus on the Laplace…
Dirichlet problem on perturbed conical domains via converging generalized power series
Martin Costabel, Matteo Dalla Riva, Monique Dauge +1
We consider the Poisson equation with homogeneous Dirichlet conditions in a family of domains in indexed by a small parameter . The domains depend on only within a b…
Shape perturbation of a nonlinear mixed problem for the heat equation
Matteo Dalla Riva, Paolo Luzzini, Riccardo Molinarolo +1
We consider the heat equation in a domain that has a hole in its interior. We impose a Neumann condition on the exterior boundary and a nonlinear Robin condition on the boundary of…
Local uniqueness of the solutions for a singularly perturbed nonlinear nonautonomous transmission problem
Matteo Dalla Riva, Riccardo Molinarolo, Paolo Musolino
We consider the Laplace equation in a domain of , , with a small inclusion of size . On the boundary of the inclusion we define a nonlinear nonautonomous t…
Multi-parameter analysis of the obstacle scattering problem
Matteo Dalla Riva, Paolo Luzzini, Paolo Musolino
We consider the acoustic field scattered by a bounded impenetrable obstacle and we study its dependence upon a certain set of parameters. As usual, the problem is modeled by an ext…
Converging expansions for Lipschitz self-similar perforations of a plane sector
Martin Costabel, Matteo Dalla Riva, Monique Dauge +1
In contrast with the well-known methods of matching asymptotics and multiscale (or compound) asymptotics, the " functional analytic approach " of Lanza de Cristoforis (Analysis 28,…
Effective conductivity of a singularly perturbed periodic two-phase composite with imperfect thermal contact at the two-phase interface
Matteo Dalla Riva, Paolo Musolino
We consider the asymptotic behaviour of the effective thermal conductivity of a two-phase composite obtained by introducing into an infinite homogeneous matrix a periodic set of in…