On the exact WKB analysis of microdifferential operators of WKB type.

DOI10.5802/aif.2053zbMath1079.34070OpenAlexW2332704615MaRDI QIDQ1774066

Takashi Aoki, Takahiro Kawai, Yoshitsugu Takei, Tatsuya Koike

Publication date: 29 April 2005

Published in: Annales de l'Institut Fourier (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=AIF_2004__54_5_1393_0

zbMATH Keywords

turning pointsexact WKB analysisBerk-Book equationmicrodifferential operators of WKB typeWeierstrass-type division theorem for microdifferential operators

Mathematics Subject Classification ID

Microlocal methods and methods of sheaf theory and homological algebra applied to PDEs (35A27) Singularities, monodromy and local behavior of solutions to ordinary differential equations in the complex domain, normal forms (34M35) Formal solutions and transform techniques for ordinary differential equations in the complex domain (34M25) Singular perturbation problems for ordinary differential equations in the complex domain (complex WKB, turning points, steepest descent) (34M60)

Related Items (5)

Degeneration structure of the Voros coefficients of the generalized hypergeometric differential equations with a large parameter ⋮ WKB Analysis and Stokes Geometry of Differential Equations ⋮ On WKB analysis of higher order Painlevé equations with a large parameter ⋮ On the exact WKB analysis of microdifferential operators of WKB type. ⋮ Voros coefficients at the origin and at the infinity of the generalized hypergeometric differential equations with a large parameter

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