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Semiclassical asymptotic behavior of the spectrum of a nonselfadjoint elliptic operator on a two-dimensional surface of revolution

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Abstract

The asymptotics as ɛ → 0 of the spectrum of the shifted Laplace operator H = ɛΔ + ∂v on a two-dimensional compact surface of revolution homeomorphic to the sphere is described, where v is a vector field.

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Authors
  1. H. Roohian
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  2. A. I. Shafarevich
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Roohian, H., Shafarevich, A.I. Semiclassical asymptotic behavior of the spectrum of a nonselfadjoint elliptic operator on a two-dimensional surface of revolution. Russ. J. Math. Phys. 17, 328–333 (2010). https://doi.org/10.1134/S1061920810030064

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  • DOI: https://doi.org/10.1134/S1061920810030064

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