Homogenization of a multidimensional periodic elliptic operator in a neighborhood of the edge of an internal gap-Reference-Cited by-同舟云学术

Homogenization of a multidimensional periodic elliptic operator in a neighborhood of the edge of an internal gap

Published:2006-07 Issue:2 Volume:136 Page:3682-3690
ISSN:1072-3374
Container-title:Journal of Mathematical Sciences
language:en
Short-container-title:J Math Sci

Author:

Birman M. Sh.,Suslina T. A.

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,General Mathematics,Statistics and Probability

Link

http://link.springer.com/content/pdf/10.1007/s10958-006-0192-9.pdf

Reference8 articles.

1. M. Sh. Birman, “Discrete spectrum of the periodic Schrödinger operator perturbed by a decaying potential,” Algebra Analiz, 8, 3–20 (1996).

2. M. Sh. Birman, “Discrete spectrum in gaps of a perturbed periodic Schrödinger operator. II. Nonregular perturbations,” Algebra Analiz, 9, 62–89 (1997).

3. M. Sh. Birman, “Homogenization procedure for periodic operators near the edge of an internal gap,” Algebra Analiz, 15, 61–71 (2003).

4. M. Sh. Birman and M. Z. Solomyak, “Estimates for singular numbers of integral operators,” Usp. Mat. Nauk, 32, 17–84 (1977).

5. Oper. Theory Adv. Appl.;M. Sh. Birman,2001

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