A LEVEL SET CRYSTALLINE MEAN CURVATURE FLOW OF SURFACES

作者:Giga Yoshikazu*; Pozar Norbert
来源:Advances in Differential Equations, 2016, 21(7-8): 631-698.

摘要

We introduce a new notion of viscosity solutions for the level set formulation of the motion by crystalline mean curvature in three dimensions. The solutions satisfy the comparison principle, stability with respect to an approximation by regularized problems, and we also show the uniqueness and existence of a level set flow for bounded crystals.

  • 出版日期2016-8