Geodesic
On the spectrum of Riemannian manifolds with attached thin handles
Žurnal matematičeskoj fiziki, analiza, geometrii, Tome 5 (2009) no. 2, pp. 145-169
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     title = {On the spectrum of {Riemannian} manifolds with attached thin handles},
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A. Khrabustovskyi. On the spectrum of Riemannian manifolds with attached thin handles. Žurnal matematičeskoj fiziki, analiza, geometrii, Tome 5 (2009) no. 2, pp. 145-169. http://geodesic.mathdoc.fr/item/JMAG_2009_5_2_a2/

[1] C. Anne, “Spectre du Laplacien et Ecrasement d'Anses”, Ann. Set. Ecole. Norm Sup., 4:20 (1987), 271–280 | MR | Zbl

[2] C. Anne, B. Colbois, “Spectre du Laplacien Agissant sur les $p$-Formes Diffe'rentielles et e'Crasement d'Anses”, Math. Ann., 303:3 (1995), 545–573 | DOI | MR | Zbl

[3] L. Boutet de Monvel, E. Ya. Khruslov, “Averaging of the Diffusion Equation on Riemannian Manifolds of Complex Microstructure”, Tr. Moscow Mat. Obshch., 58, 1997, 137–161 (Russian) | MR | Zbl

[4] I. Chavel, E. Feldman, “Spectra of Manifolds with Small Handle”, Comment. Math. Helv., 56:1 (1981), 83–102 | DOI | MR | Zbl

[5] G. Dal Maso, R. Gulliver, U. Mosco, Asymptotic Spectrum of Manifolds of Increasing Topological Type, Prepr. S.I.S.S.A. 78/2001/M, Trieste

[6] P. Exner P, O. Post, “Convergence of Spectra of Graph-Like Thin Manifolds”, J. Geom. Phys., 54:1 (2005), 77–115 | DOI | MR | Zbl

[7] G. Iosif'yan, O. Ole'inik, A. Shamaev, “On the Limit Behavior of the Spectrum of a Sequence of Operators Defined in Different Hilbert Spaces”, Usp. Mat. Nauk, 44:3 (1989), 157–158 (Russian) | MR

[8] A. Khrabustovskyi, “Asymptotic Behavior of Spectrum of Laplace–Beltrami Operator on Riemannian Manifolds with Complex Microstructure”, Appl. Analysis, 87:12 (2008), 1357–1372 | DOI | MR | Zbl

[9] V. A. Marchenko, E. Ya. Khruslov, Homogenization of Partial Differential Equations, Progress in Mathematical Physics, 46, Birkhauser Boston Inc., Boston, 2006 | MR | Zbl