Abstract
The proof of norm resolvent convergence of Dirichlet Laplacian to effective operators, as the diameter of spatial waveguides vanishes, is extended to the unbounded case.
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The first author acknowledges partial support from CNPq.
The second author was supported by CAPES.
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de Oliveira, C.R., Verri, A.A. Norm resolvent convergence of Dirichlet Laplacian in unbounded thin waveguides. Bull Braz Math Soc, New Series 46, 139–158 (2015). https://doi.org/10.1007/s00574-015-0087-9
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DOI: https://doi.org/10.1007/s00574-015-0087-9
Keywords
- unbounded waveguides
- Dirichlet Laplacian
- spectral approximation
- norm resolvent convergence
- dimensional reduction