Perturbation of Threshold of Essential Spectrum for Waveguides with Windows. I: Decreasing Resonance Solutions
Author:
Publisher
Springer Science and Business Media LLC
Subject
Applied Mathematics,General Mathematics,Statistics and Probability
Link
http://link.springer.com/content/pdf/10.1007/s10958-015-2238-3.pdf
Reference30 articles.
1. D. I. Borisov, “Discrete spectrum of an asymmetric pair of waveguides coupled through a window” [in Russian], Mat. Sb. 197, No. 4, 3–32 (2006); English trans.: Sb. Math. 197, No. 4, 475-504 (2006).
2. S. A. Nazarov, “Asymptotics of an eigenvalue on the continuous spectrum of two quantum waveguides coupled through narrow windows” [in Russian], Mat. Zametki 93, No. 2, 227–245 (2013); English transl.: Math. Notes 93, No. 2, 266–281 (2013).
3. D. Borisov, P. Exner, and R. Gadyl’shin, “Geometric coupling thresholds in a two-dimensional strip,” J. Math. Phys. 43, No. 12, 6265–6278 (2002).
4. D. Borisov, T. Ekholm, and H. Kovǎrík, “Spectrum of the magnetic Schrödinger operator in a waveguide with combined boundary conditions,” Ann. Henri Poincaré 6, No. 2, 327–342 (2005).
5. D. Borisov and P. Exner, “Distant perturbation asymptotics in window-coupled waveguides. I. The non-threshold case,” J. Math. Phys. 47, No. 11, 13502-1–13502-24 (2006).
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