On the density of states of periodic media in the large coupling limit

Research output: Contribution to journalArticle

26 Citations (Scopus)

Abstract

Let Ω0 be a domain in the cube (0, 2π)n, and let χτ(x) be a function that equals 1 inside Ω0, equals τ in (0, 2π)n0, and that is extended periodically to Rn. It is known that, in the limit τ → ∞, the spectrum of the operator - ∇χτ(x)∇ exhibits the band-gap structure. We establish the asymptotic behavior of the density of states function in the bands.

Original languageEnglish (US)
Pages (from-to)355-380
Number of pages26
JournalCommunications in Partial Differential Equations
Volume27
Issue number1-2
DOIs
StatePublished - 2002

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Periodic Media
Density of States
Band Gap
Regular hexahedron
Energy gap
Asymptotic Behavior
Operator

ASJC Scopus subject areas

  • Mathematics(all)
  • Analysis
  • Applied Mathematics

Cite this

On the density of states of periodic media in the large coupling limit. / Friedlander, Leonid.

In: Communications in Partial Differential Equations, Vol. 27, No. 1-2, 2002, p. 355-380.

Research output: Contribution to journalArticle

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