Center for Nonlinear Analysis
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Publication 14-CNA-012
Motion of Three-Dimensional Elastic Films by Anisotropic Surface Diffusion I. Fonseca N. Fusco G. Leoni M. Morini 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 low structure underpinning the evolution law. Long-time behavior and Liapunov stability in the case of initial data close to a at configuration are also addressed. Get the paper in its entirety as |