A link between small divisors and smoothness of the solutions of a class of partial differential operators

DOI10.1007/BF02329733zbMath0529.35019WikidataQ115392511 ScholiaQ115392511MaRDI QIDQ787385

Peter R. Popivanov

Publication date: 1983

Published in: Annals of Global Analysis and Geometry (Search for Journal in Brave)

zbMATH Keywords

small divisorsglobal hypoellipticitymicrolocal hypoellipticitySchwartz space of tempered distributionssmoothness of the solutionsvariable multiplicity of the characteristics

Mathematics Subject Classification ID

Geometric theory, characteristics, transformations in context of PDEs (35A30) Topological linear spaces of test functions, distributions and ultradistributions (46F05) Hypoelliptic equations (35H10)

Related Items (4)

The heat kernel of the \(\tau \)-twisted Laplacian ⋮ Weyl transforms and a degenerate elliptic partial differential equation ⋮ Classes of Degenerate Elliptic Operators in Gelfand-Shilov Spaces ⋮ Weyl transforms, the heat kernel and Green function of a degenerate elliptic operator

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• Hypoelliptic operators with double characteristics and related pseudo-differential operators
• ALMOST PERIODIC FUNCTIONS AND PARTIAL DIFFERENTIAL OPERATORS
• Parametrices for pseudodifferential operators with multiple characteristics

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