Novaga: I will present existence and uniqueness results for the anisotropic mean curvature flow with arbitrary mobility. This is achieved by introducing a new notion of solution to the corresponding level set formulation. Such a solution satisfies the comparison principle and a stability property with respect to the approximation by suitably regularized problems. The results are valid in any dimension and for arbitrary, possibly unbounded, initial closed sets. The approach accounts for the possible presence of a time-dependent bounded forcing term, with spatial Lipschitz continuity. As a byproduct of the analysis, the problem of the convergence of the Almgren-Taylor-Wang minimizing movements scheme to a unique “flat flow” in the case of general, possibly crystalline, anisotropies is settled http://cvgmt.sns.it/seminar/689/
When
Fri May 17, 2019 9:10am – 10:10am Coordinated Universal Time
