The existence of nonclassical asymptotic expansion of the trace of a heat kernel for a degenerate elliptic operator

DOI10.1007/BF01455067zbMath0663.35032MaRDI QIDQ1114075

Chuan-yi Xu

Publication date: 1989

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/164611

zbMATH Keywords

asymptotic expansionsubelliptictrace of heat kernel

Mathematics Subject Classification ID

Degenerate elliptic equations (35J70) Asymptotic expansions of solutions to PDEs (35C20)

Related Items

Upper bound estimates of eigenvalues for Hörmander operators on non-equiregular sub-Riemannian manifolds ⋮ Estimates of eigenvalues for subelliptic operators on compact manifold

Cites Work

• The heat equation on a CR manifold
• Balls and metrics defined by vector fields. I: Basic properties
• Hypoelliptic differential operators and nilpotent groups
• On the eigenvalues of a class of hypoelliptic operators
• Hypoelliptic second order differential equations
• Asymptotic Expansions of Integral Transforms of Functions with Logarithmic Singularities
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