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• W3105449862 abstract "We consider a planar waveguide with twisted boundary conditions. By twisting we mean a special combination of Dirichlet and Neumann boundary conditions. Assuming that the width of the waveguide goes to zero, we identify the effective (limiting) operator as the width of the waveguide tends to zero, establish the uniform resolvent convergence in various possible operator norms, and give the estimates for the rates of convergence. We show that studying the resolvent convergence can be treated as a certain threshold effect and we present an elegant technique which justifies such point of view." @default.
• W3105449862 created "2020-11-23" @default.
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• W3105449862 creator A5082929064 @default.
• W3105449862 date "2012-02-01" @default.
• W3105449862 modified "2023-10-03" @default.
• W3105449862 title "Planar waveguide with “twisted” boundary conditions: Small width" @default.
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• W3105449862 doi "https://doi.org/10.1063/1.3681895" @default.
• W3105449862 hasPublicationYear "2012" @default.
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