The existence of nonclassical asymptotic expansion of the trace of a heat kernel for a degenerate elliptic operator
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.
scientific article; zbMATH DE number 4084161