The existence of nonclassical asymptotic expansion of the trace of a heat kernel for a degenerate elliptic operator
type: Item
instance of: scholarly article
title: The existence of nonclassical asymptotic expansion of the trace of a heat kernel for a degenerate elliptic operator
zbMATH Open document ID: 0663.35032
DOI: 10.1007/BF01455067
author: Chuan-yi Xu
published in: Mathematische Annalen
publication date: 1989-01-01T00:00:00Z
full work available at URL: https://eudml.org/doc/164611
review text: We construct a second-order subelliptic differential operator with loss of \(1/2\) derivative for which the corresponding trace of heat kernel has a nonclassical asymptotic expansion. This construction can be carried out on any compact manifold of dimension \(\geq 3\) to produce similar examples.
Mathematics Subject Classification ID: 35J70
Mathematics Subject Classification ID: 35C20
zbMATH DE Number: 4084161
zbMATH Keywords: subelliptic
zbMATH Keywords: trace of heat kernel
zbMATH Keywords: asymptotic expansion
MaRDI profile type: Publication
cites work: The heat equation on a CR manifold
cites work: Asymptotic Expansions of Integral Transforms of Functions with Logarithmic Singularities
cites work: Q5676172
cites work: Q3969295
cites work: Hypoelliptic second order differential equations
cites work: On the eigenvalues of a class of hypoelliptic operators
cites work: Balls and metrics defined by vector fields. I: Basic properties
cites work: Hypoelliptic differential operators and nilpotent groups
description: scientific article; zbMATH DE number 4084161