Abstract
The present paper is devoted to the homogenization problem for a wide class of periodic second order differential operators (DO’s) in ℝd. This class includes a number of classical DO’s of mathematical physics. We propose a brief survey of the results obtained in a series of Birman and Suslina (Systems, Approximations, Singular Integral Operators and Related Topics, Oper. Theory Adv. Appl., vol. 129, pp. 71–107, 2001; Algebra Anal. 15(5):108, 2003; Algebra Anal. 17(5):69–90, 2005; Algebra Anal. 17(6):1–104, 2005; Algebra Anal. 18(6):1–130, 2006).
Keywords
- Singular Integral Operator
- Homogenization Problem
- Selfadjoint Operator
- Homogenization Theory
- Order Differential Operator
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References
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Birman, M.S., Suslina, T.A. (2009). Homogenization of Periodic Differential Operators as a Spectral Threshold Effect. In: Sidoravičius, V. (eds) New Trends in Mathematical Physics. Springer, Dordrecht. https://doi.org/10.1007/978-90-481-2810-5_44
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DOI: https://doi.org/10.1007/978-90-481-2810-5_44
Publisher Name: Springer, Dordrecht
Print ISBN: 978-90-481-2809-9
Online ISBN: 978-90-481-2810-5
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