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math.AP2021★ 1 cited
Computing eigenvalues of the Laplacian on rough domains
Frank Rösler, Alexei Stepanenko
We prove a general Mosco convergence theorem for bounded Euclidean domains satisfying a set of mild geometric hypotheses. For bounded domains, this notion implies norm-resolvent co…
math.AP2018
A Strange Vertex Condition Coming From Nowhere
Frank Rösler
We prove norm-resolvent and spectral convergence in of solutions to the Neumann Poisson problem on a domain perforated by Dirichlet-hole…
math.AP2017★ 1 cited
Norm-Resolvent Convergence in Perforated Domains
Patrick Dondl, Kirill Cherednichenko, Frank Rösler
For several different boundary conditions (Dirichlet, Neumann, Robin), we prove norm-resolvent convergence for the operator in the perforated domain $Ω\setminus \bigcup_{ i\in…