On the exact WKB analysis of microdifferential operators of WKB type.
type: Item
instance of: scholarly article
title: On the exact WKB analysis of microdifferential operators of WKB type.
zbMATH Open document ID: 1079.34070
author: Takashi Aoki
author: Takahiro Kawai
author: Tatsuya Koike
author: Yoshitsugu Takei
publication date: 2005-04-29T00:00:00Z
full work available at URL: http://www.numdam.org/item
full work available at URL: https://eudml.org/doc/116146
review text: The paper is devoted to the introduction of a new class of integral operators, the so-called microdifferential operators of WKB type appearing in the plasma wave propagation in inhomogeneous media. The well-known results for differential operators of WKB analysis are extended to this new class with respect to exact WKB analysis based on Borel resummation. The development of the exact WKB analysis of microdifferential equations near their turning points is a consequence of the proof of a Weierstrass-type division theorem for microdifferential operators of WKB type.
reviewed by: J. Saurer
Mathematics Subject Classification ID: 34M60
Mathematics Subject Classification ID: 34M25
Mathematics Subject Classification ID: 34M35
Mathematics Subject Classification ID: 35A27
zbMATH DE Number: 2162428
zbMATH Keywords: exact WKB analysis
zbMATH Keywords: microdifferential operators of WKB type
zbMATH Keywords: turning points
zbMATH Keywords: Weierstrass-type division theorem for microdifferential operators
zbMATH Keywords: Berk-Book equation
MaRDI profile type: Publication
OpenAlex ID: W2332704615
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DOI: 10.5802/AIF.2053
published in: Annales de l’institut Fourier
description: scientific article; zbMATH DE number 2162428