Sharp kernel bounds for parabolic operators with first order degeneracy

We prove sharp upper and lower estimates for the parabolic kernel of the singular elliptic operator {align*} L&=Tr (AD^2)+{(v,∇)}y, {align*} in the half-space RN+1₊=\(x,y): x ∈ RN, y>0\ under Neumann or oblique derivative boundary conditions at $y=0$.