Gaussian Estimates for Heat Kernels of Higher Order Schrödinger Operators with Potentials in Generalized Schechter Classes

Jun Cao, Yu Liu, Dachun Yang +1

Let $m\in \mathbb{N}$, $P(D):={\sum }_{|\alpha |=2m}(-1{)}^m{a}_{\alpha }{D}^{\alpha }$ be a $2m$-order homogeneous elliptic operator with real constant coefficients on ${\mathbb{R}}^n$, and $V$ a measurable functi…