Threshold Effects near the Lower Edge of the Spectrum for Periodic Differential Operators of Mathematical Physics

Author:

Birman Michael,Suslina Tatyana

Publisher

Birkhäuser Basel

Reference13 articles.

1. G. Allaire and C. Conca, Bloch wave homogenization and spectral asymptotic analysis, J. Math. Pures Appl., 77 (1998), 153–208.

2. N. S. Bakhvalov and G. P. Panasenko, Homogenization: averaging processes in periodic media. Mathematical problems in the mechanics of composite materials, (Russian), Nauka, Moscow, 1984, 352 pp; English transi.: Mathematics and its Applications (Soviet Series), 36, Kluwer Academic Publishers Group, Dordrecht, 1989, 366 pp.

3. A. Bensoussan, J. L. Lions and G. Papanicolaou, Asymptotic analysis for periodic structures, North Holland Publishing Company, Amsterdam, 1978, 700 pp.

4. M. Sh. Birman, The discrete spectrum of the periodic Schrödinger operator perturbed by a decreasing potential, (Russian) Algebra i Analiz, 8 (1996), no. 1, 3–20; English transi.: St. Petersburg Math. J., 8 (1997), no. 1, 1–14.

5. M. Sh. Birman, Discrete spectrum in the gaps of the perturbed periodic Schrödinger operator. II. Non-regular perturbations, (Russian) Algebra i Analiz, 9 (1997), no. 6, 62–89; English transl.: St. Petersburg Math. J., 9 (1998), no. 6, 1073–1095.

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