Complete asymptotic expansions for eigenvalues of Dirichlet Laplacian in thin three-dimensional rods
ESAIM: COCV, 17 3 (2011) 887-908
Published online: 2010-08-06
Articles citing this article
The Citing articles tool gives a list of articles citing the current article.
The citing articles come from EDP Sciences database, as well as other publishers participating in CrossRef Cited-by Linking Program. You can set up your personal account to receive an email alert each time this article is cited by a new article (see the menu on the right-hand side of the abstract page).
Cited article:
This article has been cited by the following article(s):
1 (2026)
https://doi.org/10.1007/978-3-032-04458-7_1
Asymptotics for the Spectrum of the Laplacian in Thin Bars with Varying Cross Sections
Pablo Benavent‐Ocejo, Delfina Gómez and Maria‐Eugenia Pérez‐MartínezMathematical Methods in the Applied Sciences 49 (8) 8044 (2026)
https://doi.org/10.1002/mma.70461
Approximation of eigenvalues and eigenfunctions of the diffusion operator in a domain containing thin tubes by asymptotic domain decomposition method
Andrey Amosov, Delfina Gómez, Grigory Panasenko and Maria-Eugenia Pérez-MartínezApplicable Analysis 104 (3) 419 (2025)
https://doi.org/10.1080/00036811.2024.2368699
Localization effects for Dirichlet problems in domains surrounded by thin stiff and heavy bands
Delfina Gómez, Sergei A. Nazarov and Maria-Eugenia Pérez-MartínezJournal of Differential Equations 270 1160 (2021)
https://doi.org/10.1016/j.jde.2020.09.011
Homogenization of a 2D Tidal Dynamics Equation
Giuseppe Cardone, Aurelien Fouetio and Jean Louis WoukengMathematics 8 (12) 2209 (2020)
https://doi.org/10.3390/math8122209
2133 170006 (2019)
https://doi.org/10.1063/1.5114157
Spectra of open waveguides in periodic media
G. Cardone, S.A. Nazarov and J. TaskinenJournal of Functional Analysis 269 (8) 2328 (2015)
https://doi.org/10.1016/j.jfa.2015.08.001
The emergence of eigenvalues of a PT-symmetric operator in a thin strip
D. I. BorisovMathematical Notes 98 (5-6) 872 (2015)
https://doi.org/10.1134/S000143461511019X
Возникновение собственных значений для $\mathcal{PT}$-симметричного оператора в тонкой полосе
Denis Ivanovich BorisovМатематические заметки 98 (6) 809 (2015)
https://doi.org/10.4213/mzm10974
Magnetic Effects in Curved Quantum Waveguides
David Krejčiřík and Nicolas RaymondAnnales Henri Poincaré 15 (10) 1993 (2014)
https://doi.org/10.1007/s00023-013-0298-9
Scalar boundary value problems on junctions of thin rods and plates
R. Bunoiu, G. Cardone and S. A. NazarovESAIM: Mathematical Modelling and Numerical Analysis 48 (5) 1495 (2014)
https://doi.org/10.1051/m2an/2014007
On the spectrum of deformations of compact double-sided flat hypersurfaces
Denis Borisov and Pedro FreitasAnalysis & PDE 6 (5) 1051 (2013)
https://doi.org/10.2140/apde.2013.6.1051
Thin waveguides with Robin boundary conditions
Guy Bouchitté, Luísa Mascarenhas and Luís TrabuchoJournal of Mathematical Physics 53 (12) (2012)
https://doi.org/10.1063/1.4768462
Planar waveguide with “twisted” boundary conditions: Small width
Denis Borisov and Giuseppe CardoneJournal of Mathematical Physics 53 (2) (2012)
https://doi.org/10.1063/1.3681895
THE EFFECTIVE HAMILTONIAN IN CURVED QUANTUM WAVEGUIDES UNDER MILD REGULARITY ASSUMPTIONS
DAVID KREJČIŘÍK and HELENA ŠEDIVÁKOVÁReviews in Mathematical Physics 24 (07) 1250018 (2012)
https://doi.org/10.1142/S0129055X12500183