Center for                           Nonlinear Analysis CNA Home People Seminars Publications Workshops and Conferences CNA Working Groups CNA Comments Form Summer Schools Summer Undergraduate Institute PIRE Cooperation Graduate Topics Courses SIAM Chapter Seminar Positions Contact Publication 14-CNA-012 Motion of Three-Dimensional Elastic Films by Anisotropic Surface Diffusion with Curvature Regularization Irene FonsecaDepartment of Mathematical Sciences Carnegie Mellon University Pittsburgh, PA 15213fonseca@andrew.cmu.edu Nicola FuscoDipartimento di Matematica e Applicazioni "R. Caccioppoli" Universita degli Studi di Napoli "Federico II" Napoli, Italyn.fusco@unina.it Giovanni LeoniDepartment of Mathematical Sciences Carnegie Mellon University Pittsburgh, PA 15213giovanni@andrew.cmu.edu Massimiliano MoriniDipartimento di Matematica Universita degli Studi di Parma Parma, Italymassimiliano.morini@unipr.itAbstract: Short time existence for a surface diffusion evolution equation with curvature regularization is proved in the context of epitaxially strained three-dimensional films. This is achieved by implementing a minimizing movement scheme, which is hinged on the $H^1$-gradient low structure underpinning the evolution law. Long-time behavior and Liapunov stability in the case of initial data close to a flat configuration are also addressed.Get the paper in its entirety as  14-CNA-012.pdf