We study the asymptotic behavior of the resolvent of the Laplacian in a planar strip with a special combination of the Dirichlet and Neumann conditions (”twisted” boundary conditions), when the width of the strip goes to zero. We identify the limiting operator, establish the norm resolvent convergence in various possible operator norms, and give the estimates for the rates of convergence
Norm Resolvent Convergence for a Planar Strip With "Twisted" Boundary Conditions / Cardone, G.. - 2849:1(2023), p. 410004. (Intervento presentato al convegno International Conference on Numerical Analysis and Applied Mathematics 2021 ICNAAM 2021 tenutosi a Rodi, Grecia nel 20 -26 settembre 2021) [10.1063/5.0163455].
Norm Resolvent Convergence for a Planar Strip With "Twisted" Boundary Conditions
Cardone G.
2023
Abstract
We study the asymptotic behavior of the resolvent of the Laplacian in a planar strip with a special combination of the Dirichlet and Neumann conditions (”twisted” boundary conditions), when the width of the strip goes to zero. We identify the limiting operator, establish the norm resolvent convergence in various possible operator norms, and give the estimates for the rates of convergence| File | Dimensione | Formato | |
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