2010/03/09 by Guillaume Carlier, Alfred Galichon, Carlier, Guillaume +1
Computer Science · Mathematics · #35D40 #49L25 #52B55 #Advanced Mathematical Modeling in Engineering #Analysis of PDEs (math.AP) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Mathematical Biology Tumor Growth #Nonlinear Partial Differential Equations
paper · pdf · doi:10.48550/arxiv.1003.1928
openalex publication_date 2010/03/09 · openalex created_date 2022/10/01 · openalex updated_date 2026/07/28
We consider an evolution equation similar to that introduced by Vese and\nwhose solution converges in large time to the convex envelope of the initial\ndatum. We give a stochastic control representation for the solution from which\nwe deduce, under quite general assumptions that the convergence in the\nLipschitz norm is in fact exponential in time. We then introduce a\nnon-autonomous gradient flow and prove that its trajectories all converge to\nminimizers of the convex envelope.\n