# Motion of elastic thin films by anisotropic surface diffusion with curvature regularization.

## Nicola Fusco

### (Dipartimento di Matematica e Applicazioni "R. Caccioppoli", Napoli)

Date: Jun 30, 2014, time: 15:00

Abstract. 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 $H^{-1}-gradient$ flow 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.