Evolution of Spacelike Hypersurfaces by MeanCurvature Minus External Force Field inMinkowski Space

摘要

We study the evolution of spacelike hypersurface moving by mean curvature minusan external force field in Minkowski space. It is shown that the flow will exist forall time if the initial spacelike surface has two compact spacelike barrier surfacesand the external force field satisfies a weak convexity condition.