David Krejcirik's page:

Works citing   [J. Math. Phys. 45 (2004), pp. 774-784]

  1. N. Fujita and O. Terasaki:
    Band structure of the P, D, and G surfaces,
    Phys. Rev. B 72, 8, (aug 2005), art. no. 085459.

  2. C. Lin and Z. Lu:
    On the discrete spectrum of generalized quantum tubes,
    Comm. Partial Differential Equations 31 (oct 2006), 1529-1546.

  3. C. Lin and Z. Lu:
    Existence of bound states for layers built over hypersurfaces in $R^{n+1}$,
    J. Funct. Anal. 244 (2007), 1-25.

  4. C. Lin and Z. Lu:
    Quantum layers over surfaces ruled outside a compact set,
    J. Math. Phys. 48 (2007), Art. No. 053522.

  5. P. Freitas and I. Salavessa:
    A spectral Bernstein theorem,
    Ann. Mat. Pur. Appl. 190 (2011), 77-90.

  6. Z. Lu and J. Rowlett:
    On the discrete spectrum of quantum layers,
    J. Math. Phys. 53 (2012), Art. No. 073519.

  7. M. Dauge and N. Raymond:
    Plane waveguides with corners in the small angle limit,
    J. Math. Phys. 53 (2012), Art. No. 123529.

  8. T. Ourmieres-Bonafos:
    Dirichlet eigenvalues of cones in the small aperture limit,
    J. Spectr. Theory 4 (2014), 485-513.

  9. N. Raymond:
    Breaking a magnetic zero locus: Asymptotic analysis,
    Math. Mod. Meth. Appl. S. 24 (2014), 2785-2817.

  10. V. Bonnaille-Noel and N. Raymond:
    Breaking a magnetic zero locus: model operators and numerical approach,
    Z. Angew. Math. Phys. 95 (2015), 120-139.

  11. M. Dauge, T. Ourmieres-Bonafos and N. Raymond:
    Spectral asymptotics of the Dirichlet Laplacian in a conical layer,
    Commun. Pur. Appl. Anal. 14 (2015), 1239-1258.

  12. K. Pankrashkin and N. Popoff:
    Mean curvature bounds and eigenvalues of Robin Laplacians,
    Calc. Var. Partial Differ. Equ. 54 (2015), 1947-1961.

  13. S. Haag, J. Lampart and S. Teufel:
    Generalised Quantum Waveguides,
    Ann. H. Poincare 16 (2015), 2535-2568.

  14. K. Pankrashkin and N. Popoff:
    An effective Hamiltonian for the eigenvalue asymptotics of the Robin Laplacian with a large parameter,
    J. Math. Pures Appl. 106 (2016), 615-650.

  15. P. V. Gilkey, Ch. Y. Kim and J. Park:
    Real analytic complete non-compact surfaces in Euclidean space with finite total curvature arising as solutions to ODEs,
    J. Math. Pures Appl. 106 (2016), 615-650.

  16. J. Lampart and S. Teufel:
    The adiabatic limit of Schrodinger operators on fibre bundles,
    Math. Anal. 367 (2017), 1647-1683.

  17. T. Ourmieres-Bonafos and K. Pankrashkin:
    Discrete spectrum of interactions concentrated near conical surfaces,
    Appl. Anal. 97 (2018) 1628-1649.

  18. M. Dauge, Y. Lafranche and T. Ourmieres-Bonafos:
    Dirichlet Spectrum of the Fichera Layer,
    Integral Equations Operator Theory 60 (2018) UNSP 60.

  19. S. Egger, J. Kerner and K. Pankrashkin:
    Discrete spectrum of Schrodinger operators with potentials concentrated near conical surfaces,
    Lett. Math. Phys. 110 (2020) 945-968.

Last modified: 27 May 2020