Kac regular sets and Sobolev spaces in geometry, probability and quantum physics

Francesco Bei, Batu Güneysu

Let $\Omega \subset M$ be an open subset of a Riemannian manifold $M$ and let $V:M\to \IR$ be a Kato decomposable potential. With $W_0^{1,2}(M;V)$ the natural form domain of the Schröd…