Off diagonal asymptotics of hypoelliptic diffusion equations and singular Riemannian geometry
Tom Taylor · Pacific Journal of Mathematics · 1989
The major purpose of this paper is to investigate some small time asymptotic properties of certain diffusion equations of the form (1) ( K j t -^jp{y,x,t) = 0, \imp(y,x,t)=δ x (y), where Δ is in a class of second order hypoelliptic differential operators on a connected m -dimensional manifold M, and where S x (y) is the Dirac ^-function in the variable y e M supported at the point x e M.