129 citations · 369 across the 23 of their papers we have counts for
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math.AP2017★ 1 cited
On the limit Sobolev regularity for Dirichlet and Neumann problems on Lipschitz domains
Martin Costabel
We construct a bounded domain in for which the regularity for the Dirichlet and Neumann problems for the Laplacian cannot be improved, that is, there…
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,…