Gaussian upper bounds for heat kernels of a class of nondivergence operators
Xuan Thinh Duong, El Maati Ouhabaz · Project Euclid (Cornell University) · 2003
Let $\\Omega$ be a subset of a space of homogeneous type. Let $A$ be the infinitesimal generator of a positive semigroup with Gaussian kernel bounds on $L^2(\\Omega)$. We then show Gaussian heat kernel bounds for operators of the type $bA$ where $b$ is a bounded, complex valued function.