Gevery hypoellipticity of the grushin operators and the heat kernel method

DOI10.1080/10652469808819151zbMath0919.46028OpenAlexW1985343726MaRDI QIDQ3841109

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Publication date: 25 October 1998

Published in: Integral Transforms and Special Functions (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/10652469808819151

zbMATH Keywords

hyperfunctionheat kernelpseudodifferential operatorwave front setGevrey hypoellipticitydegenerate elliptic operatorsultradistributionGrushin class

Mathematics Subject Classification ID

Pseudodifferential operators as generalizations of partial differential operators (35S05) Operations with distributions and generalized functions (46F10) Research exposition (monographs, survey articles) pertaining to partial differential equations (35-02) Pseudodifferential operators (47G30)

Cites Work

• Pseudodifferential operators on \(R^ n\) with bounded symbols
• Opérateurs pseudodif[facuteerentiels et classes de gevrey]
• Nonanalytic-hypoellipticity for some degenerate elliptic operators
• ON A CLASS OF ELLIPTIC PSEUDODIFFERENTIAL OPERATORS DEGENERATE ON A SUBMANIFOLD
• HYPOELLIPTIC DIFFERENTIAL EQUATIONS AND PSEUDODIFFERENTIAL OPERATORS WITH OPERATOR-VALUED SYMBOLS
• Editorial board

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