Spectrum of the Laplacian in narrow tubular neighbourhoods of hypersurfaces with combined Dirichlet and Neumann boundary conditions
Mathematica Bohemica (2014)
- Volume: 139, Issue: 2, page 185-193
- ISSN: 0862-7959
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top- Borisov, D., Freitas, P., 10.1016/j.anihpc.2007.12.001, Ann. Inst. Henri Poincaré, Anal. Non Linéaire 26 (2009), 547-560. (2009) Zbl1168.35401MR2504043DOI10.1016/j.anihpc.2007.12.001
- Borisov, D., Freitas, P., 10.1016/j.jfa.2009.07.014, J. Funct. Anal. 258 (2010), 893-912. (2010) MR2558181DOI10.1016/j.jfa.2009.07.014
- Davies, E. B., Spectral Theory and Differential Operators, Cambridge Studies in Advanced Mathematics 42 Cambridge University Press, Cambridge (1995). (1995) Zbl0893.47004MR1349825
- Freitas, P., Krejčiřík, D., 10.1016/j.jde.2004.06.006, J. Differential Equations 211 (2005), 168-186. (2005) Zbl1075.35018MR2121113DOI10.1016/j.jde.2004.06.006
- Friedlander, L., Solomyak, M., On the spectrum of the Dirichlet Laplacian in a narrow infinite strip, Spectral Theory of Differential Operators American Mathematical Society, Translations Series 2, 225, Advances in the Mathematical Sciences 62 Providence, RI 103-116 (2008). (2008) Zbl1170.35487MR2509778
- Friedlander, L., Solomyak, M., 10.1007/s11856-009-0032-y, Isr. J. Math. 170 (2009), 337-354. (2009) Zbl1173.35090MR2506330DOI10.1007/s11856-009-0032-y
- Krejčiřík, D., 10.1051/cocv:2008035, ESAIM, Control Optim. Calc. Var. 15 (2009), 555-568. (2009) Zbl1173.35618MR2542572DOI10.1051/cocv:2008035
- Krejčiřík, D., Raymond, N., Tušek, M., The magnetic Laplacian in shrinking tubular neighbourhoods of hypersurfaces, J. Geom. Anal (to appear).
- Lampart, J., Teufel, S., Wachsmuth, J., Effective Hamiltonians for thin Dirichlet tubes with varying cross-section, Mathematical Results in Quantum Physics Proceedings of the QMath11 Conference 2010, Czech Republic World Scientific, Hackensack (2011), 183-189. (2011) Zbl1238.81100MR2885171
- Schatzman, M., 10.1080/00036819608840461, Appl. Anal. 61 (1996), 293-306. (1996) Zbl0865.35098MR1618236DOI10.1080/00036819608840461