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 -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.
Citation
Irene Fonseca. Nicola Fusco. Giovanni Leoni. Massimiliano Morini. "Motion of three-dimensional elastic films by anisotropic surface diffusion with curvature regularization." Anal. PDE 8 (2) 373 - 423, 2015. https://doi.org/10.2140/apde.2015.8.373
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