论文标题
最小化各向异性和不均匀平均曲率流动的运动
Minimizing Movements for Anisotropic and Inhomogeneous Mean Curvature Flows
论文作者
论文摘要
In this paper we address anisotropic and inhomogeneous mean curvature flows with forcing and mobility, and show that the minimizing movements scheme converges to level set/viscosity solutions and to distributional solutions \textit{à la} Luckhaus-Sturzenhecker to such flows, the latter holding in low dimension and conditionally to a convergence of the energies.通过这样做，我们通过删除翻译不变性的假设来概括了有关进化的最新作品，在经典理论中，这可以简化许多参数。
In this paper we address anisotropic and inhomogeneous mean curvature flows with forcing and mobility, and show that the minimizing movements scheme converges to level set/viscosity solutions and to distributional solutions \textit{à la} Luckhaus-Sturzenhecker to such flows, the latter holding in low dimension and conditionally to a convergence of the energies. By doing so we generalize recent works concerning the evolution by mean curvature by removing the hypothesis of translation invariance, which in the classical theory allows to simplify many arguments.
