Abstract
An interface controlled model of suface evolution is often dbcusced in crystal growth problem to describe the motion of phase boundaries. In low temperature facets appear in evolutions. The governing equation is no longer a PDE and the curvature effect is nonlocal. There are several ways to clarfy the evolution law. In this talk we give a general framework to decribe these problems and prove that the evolution is approximated by the evolution by smooth interfacial energy approximating the singular interfacial energy.
