Parametrix for a degenerate parabolic equation and its application to the asymptotic behavior of spectral functions for stationary problems

DOI10.2977/prims/1195185266zbMath0482.35084OpenAlexW1969804353MaRDI QIDQ1162661

Chisato Iwasaki, Nobuhisa Iwasaki

Publication date: 1981

Published in: Publications of the Research Institute for Mathematical Sciences, Kyoto University (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2977/prims/1195185266

zbMATH Keywords

asymptotic expansionparametrixone parameter semigroupclassical pseudodifferential operator of order m

Mathematics Subject Classification ID

Degenerate parabolic equations (35K65) Groups and semigroups of linear operators (47D03) Initial value problems for linear higher-order PDEs (35G10) Initial value problems for higher-order parabolic equations (35K30) Higher-order parabolic equations (35K25) Initial value problems for PDEs with pseudodifferential operators (35S10)

Related Items (4)

Calculus of Pseudo-Differential Operators and a Local Index of Dirac Operators ⋮ Spectral theory of a class of nilmanifolds attached to Clifford modules ⋮ Spectral analysis and geometry of a sub-Riemannian structure on \(S^3\) and \(S^7\) ⋮ Construction and heat kernel estimates of generalstable-like Markov processes

Cites Work

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• On the eigenvalues of a class of hypoelliptic operators. IV
• Parametrix for a degenerate parabolic equation
• A class of hypoelliptic pseudodifferential operators with double characteristics
• On the eigenvalues of a class of hypoelliptic operators
• The fundamental solution for pseudo-differential operators of parabolic type
• The weyl calculus of pseudo-differential operators
• A Class of Bounded Pseudo-Differential Operators
• Lower bounds for pseudo-differential operators

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