Date of Original Version

1-2015

Type

Article

Rights Management

Copyright 2015 Mathematical Sciences Publishers

Abstract or Description

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.

DOI

10.2140/apde.2015.8.373

Included in

Mathematics Commons

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Published In

Analysis & PDE, 8, 2, 373-423.