TY - JOUR
T1 - On the density of states of periodic media in the large coupling limit
AU - Friedlander, Leonid
PY - 2002
Y1 - 2002
N2 - 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)n/Ω0, 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.
AB - 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)n/Ω0, 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.
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U2 - 10.1081/PDE-120002790
DO - 10.1081/PDE-120002790
M3 - Article
AN - SCOPUS:0036381857
SN - 0360-5302
VL - 27
SP - 355
EP - 380
JO - Communications in Partial Differential Equations
JF - Communications in Partial Differential Equations
IS - 1-2
ER -