Semiclassical asymptotic behavior of the spectrum of a nonselfadjoint elliptic operator on a two-dimensional surface of revolution
H. Roohian, А. И. Шафаревич · Russian Journal of Mathematical Physics · 2010
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.