Existence and Regularity For The Generalized Mean Curvature Flow Equations - Mathematics > Analysis of PDEs

Abstract: By making use of the approximation method, we obtain the existence andregularity of the viscosity solutions for the generalized mean curvature flow.The asymptotic behavior of the flow is also considered. In particular, theDirichlet problem of the degenerate elliptic equation $$-| ablav|\mathrm{div}\frac{ abla v}{| abla v|}+ u=0$$ is solvable in viscositysense.

Author: RongLi Huang, JiGuang Bao

Source: https://arxiv.org/