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- W2100103020 abstract "We study the Neumann Laplacian in unbounded regions of the form Ω = {( t, x ) | t >O, f(t ) −1 x ∊ Ω′}, where Ω′ ⊂ ℝ n −1 is a bounded open set with the Lipschitz boundary and f decays in such a way that the spectrum of is discrete but the counting function N(λ , ) of the spectrum grows faster than a power of λ, a typical example being f(t) = exp (– t In … In t) , for t ≧ t 0 . We compute the principal term of the asymptotics of N(λ , ), with a remainder estimate." @default.
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- W2100103020 date "1998-01-01" @default.
- W2100103020 modified "2023-09-27" @default.
- W2100103020 title "Spectral asymptotics with a remainder estimate of the Neumann Laplacian on horns: the case of the rapidly growing counting function" @default.
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- W2100103020 doi "https://doi.org/10.1017/s0308210500027128" @default.
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