Uniqueness of diffusion on domains with rough boundaries

Juha Lehrbäck, Derek W. Robinson

Let $\Omega$ be a domain in ${\mathbf{R}}^d$ and $h(\phi )={\sum }_{k,l=1}^d({\partial }_k\phi ,c_{kl}{\partial }_l\phi )$ a quadratic form on $L_2(\Omega )$ with domain $C_c^{\infty }(\Omega )$ where the $c_{kl}$ are real…