Semiclassical approximation for a nonself-adjoint Sturm-Liouville problem with a parabolic potential

DOI10.1134/S0001434609090181zbMath1192.34032MaRDI QIDQ1048590

V. I. Pokotilo, A. A. Shkalikov

Publication date: 12 January 2010

Published in: Mathematical Notes (Search for Journal in Brave)

zbMATH Keywords

small parameteranalytic functionentire functionSturm-Liouville problemvelocity profileStokes linesspectral graphOrr-Sommerfeld operator

Mathematics Subject Classification ID

Particular ordinary differential operators (Dirac, one-dimensional Schrödinger, etc.) (34L40) Sturm-Liouville theory (34B24) Asymptotic distribution of eigenvalues, asymptotic theory of eigenfunctions for ordinary differential operators (34L20) Eigenvalues, estimation of eigenvalues, upper and lower bounds of ordinary differential operators (34L15)

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Averaging and spectral properties for the 2D advection-diffusion equation in the semi-classical limit for vanishing diffusivity ⋮ Analogs of Bohr-Sommerfeld-Maslov quantization conditions on Riemann surfaces and spectral series of nonself-adjoint operators ⋮ A quasiclassical limit of the spectrum of a Schrödinger operator with complex periodic potential ⋮ Conditions for localization of the limit spectrum of a model operator associated with the Orr-Sommerfeld equation ⋮ On localization conditions for spectrum of model operator for Orr - Sommerfeld equation ⋮ Asymptotics of the spectrum and eigenfunctions of the magnetic induction operator on a compact two-dimensional surface of revolution

Cites Work

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