Parametrix for a degenerate parabolic equation

DOI10.3792/PJAA.55.237zbMath0448.35054OpenAlexW2036606536MaRDI QIDQ1146825

Chisato Iwasaki, Nobuhisa Iwasaki

Publication date: 1979

Published in: Proceedings of the Japan Academy. Series A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3792/pjaa.55.237

zbMATH Keywords

Cauchy problemeigenvaluesfundamental solutionselfadjoint operatorparametrixcompact manifolddegenerate operatorprincipal and sub-principal symbolsrate of its traceWeyl calculus of pseudo- differential operators

Mathematics Subject Classification ID

Degenerate parabolic equations (35K65) Asymptotic distributions of eigenvalues in context of PDEs (35P20) Heat and other parabolic equation methods for PDEs on manifolds (58J35) Initial value problems for PDEs with pseudodifferential operators (35S10)

Related Items (2)

Parametrix for a degenerate parabolic equation and its application to the asymptotic behavior of spectral functions for stationary problems ⋮ Construction and heat kernel estimates of generalstable-like Markov processes

Cites Work

• 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
• Fundamental solutions of some degenerate operators
• Lower bounds for pseudo-differential operators

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