Variational inequalities associated with the semigroups generated by fractional Kolmogorov operators

Jorge J. Betancor, Estefanía Dalmasso, Pablo Quijano

In this paper we consider fractional Kolmogorov operators defined, in ${\mathbb{R}}^d$, by \[Λ_κ=(-Δ)^{α/2}+\fracκ{|x|^α} x\cdot \nabla,\] with $\alpha \in (1,2)$, $\alpha <(d+2)/2$ and $κ\in \m…