Analytic semigroups on \(H^1(\Omega)\) generated by degenerate elliptic operators (Q5931531)

This paper improves some earlier results on second order differential operators which describe diffusions in bounded subsets of \(\mathbb{R}^n\). The authors prove, under suitable conditions, that the corresponding degenerate elliptic operator generates an analytic \(C_0\)-semigroup on the Hilbert space \(H^1\).