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math.AP2022★ 3 cited
On-diagonal asymptotics for heat kernels of a class of inhomogeneous partial differential operators
Evan Randles, Laurent Saloff-Coste
We consider certain constant-coefficient differential operators on with positive-definite symbols. Each such operator with symbol defines a semigroup $e^{-tΛ…
math.AP2019
Davies' method for heat-kernel estimates: An extension to the semi-elliptic setting
Evan Randles, Laurent Saloff-Coste
We consider a class of constant-coefficient partial differential operators on a finite-dimensional real vector space which exhibit a natural dilation invariance. Typically, these o…
math.AP2016
Positive-homogeneous operators, heat kernel estimates and the Legendre-Fenchel transform
Evan Randles, Laurent Saloff-Coste
We consider a class of homogeneous partial differential operators on a finite-dimensional vector space and study their associated heat kernels. The heat kernels for this general cl…