On the exact WKB analysis of microdifferential operators of WKB type. (Q1774066)
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scientific article; zbMATH DE number 2162428
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the exact WKB analysis of microdifferential operators of WKB type. |
scientific article; zbMATH DE number 2162428 |
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On the exact WKB analysis of microdifferential operators of WKB type. (English)
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29 April 2005
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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.
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exact WKB analysis
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microdifferential operators of WKB type
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turning points
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Weierstrass-type division theorem for microdifferential operators
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Berk-Book equation
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