Submitted Paper
Inserted: 8 may 2014
Last Updated: 23 may 2014
Year: 2014
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.
Keywords: minimizing movements, surface diffusion, epitaxial films, Liapunov stability
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