Published Paper
Inserted: 18 feb 2011
Last Updated: 20 may 2014
Journal: Archive for Rational Mechanics and Analysis
Volume: 205
Pages: 425–466
Year: 2011
Abstract:
Short time existence, uniqueness, and regularity for a surface diffusion evolution equation with curvature regularization are proved in the context of epitaxially strained two-dimensional films. This is achieved by using the $H^{-1}$-gradient flow structure of the evolution law, via De Giorgi's minimizing movements. This seems to be the first short time existence result for a surface diffusion type geometric evolution equation in the presence of elasticity.
Keywords: minimizing movements, Epitaxially strained elastic films, Surface diffusion
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