On the spectrum and weakly effective operator for Dirichlet Laplacian in thin deformed tubes
Author:
Publisher
Elsevier BV
Subject
Applied Mathematics,Analysis
Reference19 articles.
1. Coupling in the singular limit of thin quantum waveguides;Albeverio;J. Math. Phys.,2007
2. Singular asymptotic expansions for Dirichlet eigenvalues and eigenfunctions of the Laplacian on thin planar domains;Borisov;Ann. Inst. H. Poincaré Anal. Non Lineaire,2009
3. Asymptotics of Dirichlet eigenvalues and eigenfunction of the Laplacian on thin domains in Rd;Borisov;J. Funct. Anal.,2010
4. On the curvature and torsion effects in one-dimensional waveguides;Bouchitté;ESAIM Control Optim. Calc. Var.,2007
5. Eigenvalue asymptotics in a twisted waveguide;Briet;Comm. Partial Differential Equations,2009
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1. Effective Hamiltonians in surfaces of thin quantum waveguides;Journal of Mathematical Physics;2019-02
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3. Absolute Continuity and Band Gaps of the Spectrum of the Dirichlet Laplacian in Periodic Waveguides;Bulletin of the Brazilian Mathematical Society, New Series;2017-12-04
4. Norm resolvent approximation of thin homogeneous tubes by heterogeneous ones;Communications in Contemporary Mathematics;2017-08-30
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