Non local minimal surfaces

Luis Caffarelli
University of Texas at Austin

We consider "movement by mean curvature " and "minimal surfaces", when the movement is induced by convolving the characteristic function of a set (one side of the surface) with an approximation of unity with very slow decay, giving rise to an integral version of mean curvature

Presentation (PowerPoint File)

Back to Workshop I: Aspects of Optimal Transport in Geometry and Calculus of Variations