Existence and Regularity for the Generalized Mean Curvature Flow Equations
نویسندگان
چکیده
X iv :0 90 8. 30 57 v1 [ m at h. A P] 2 1 A ug 2 00 9 EXISTENCE AND REGULARITY FOR THE GENERALIZED MEAN CURVATURE FLOW EQUATIONS RONGLI HUANG AND JIGUANG BAO Abstract. By making use of the approximation method, we obtain the existence and regularity of the viscosity solutions for the generalized mean curvature flow. The asymptotic behavior of the flow is also considered. In particular, the Dirichlet problem of the degenerate elliptic equation −|∇v|(div( ∇v |∇v| ) + ν) = 0 is solvable in viscosity sense.
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