-
S. A. Nazarov, “Enforced Stability of a Simple Eigenvalue in the Continuous Spectrum of a Waveguide”, Funct. Anal. Appl., 47:3 (2013), 195–209
-
S. A. Nazarov, “Gaps and eigenfrequencies in the spectrum of a periodic acoustic waveguide”, Acoust. Phys., 59:3 (2013), 272
-
S. A. Nazarov, “Asymptotic expansions of eigenvalues in the continuous spectrum of a regularly perturbed quantum waveguide”, Theoret. and Math. Phys., 167:2 (2011), 606–627
-
J. H. Videman, V. Chiado' Piat, S. A. Nazarov, “Asymptotics of frequency of a surface wave trapped by a slightly inclined barrier in a liquid layer”, J. Math. Sci. (N. Y.), 185:4 (2012), 536–553
-
Borisov D. Cardone G., “Planar Waveguide with “Twisted” Boundary Conditions: Discrete Spectrum”, J. Math. Phys., 52:12 (2011), 123513
-
V. V. Grushin, “Asymptotic Behavior of Eigenvalues of the Laplace Operator in Thin Infinite Tubes”, Math. Notes, 85:5 (2009), 661–673
-
V. V. Grushin, “Asymptotic Behavior of the Eigenvalues of the Schrödinger Operator in Thin Closed Tubes”, Math. Notes, 83:4 (2008), 463–477
-
Ekholm T., Kovařík H., Krejčiřík D., “A Hardy inequality in twisted waveguides”, Arch. Ration. Mech. Anal., 188:2 (2008), 245–264
-
Krejcirik D., “Twisting Versus Bending in Quantum Waveguides”, Analysis on Graphs and its Applications, Proceedings of Symposia in Pure Mathematics, 77, ed. Exner P. Keating J. Kuchment P. Sunada T. Teplyaev A., Amer Mathematical Soc, 2008, 617–636
-
V. V. Grushin, “Asymptotic Behavior of Eigenvalues of the Laplace Operator in Infinite Cylinders Perturbed by Transverse Extensions”, Math. Notes, 81:3 (2007), 291–296
-
Bruening J., Dobrokhotov S., Sekerzh-Zenkovich S., Tudorovskiy T., “Spectral series of the Schrodinger operator in thin waveguides with periodic structure. I. Adiabatic approximation and semiclassical asymptotics in the 2D case”, Russ. J. Math. Phys., 13:4 (2006), 380–396
-
V. V. Grushin, “Asymptotic Behavior of the Eigenvalues of the Schrödinger Operator with Transversal Potential in a Weakly Curved Infinite Cylinder”, Math. Notes, 77:5 (2005), 606–613
-
R. R. Gadyl'shin, “Local Perturbations of Quantum Waveguides”, Theoret. and Math. Phys., 145:3 (2005), 1678–1690
-
Planida M. Yu., “Singular perturbation of the Dirichlet problem in an infinite cylinder”, Dokl. Math., 71:3 (2005), 466–469
-
V. V. Belov, S. Yu. Dobrokhotov, T. Ya. Tudorovskii, “Asymptotic Solutions of Nonrelativistic Equations of Quantum Mechanics in Curved Nanotubes: I. Reduction to Spatially One-Dimensional Equations”, Theoret. and Math. Phys., 141:2 (2004), 1562–1592