The weighted Hardy inequality and self-adjointness of symmetric diffusion operators

Derek W. Robinson

Let $\Omega$ be a domain in $\Ri^d$ with boundary $\Gamma$$,$ $d_{\Gamma }$ the Euclidean distance to the boundary and $H=-\divv(C\,\nabla)$ an elliptic operator with $C=(c_{kl})>0$ where $c…