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Showing 2017 · math.APShow all
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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…
math.AP2017★ 14 cited
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,…