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Analytical Validation of a Continuum Model for Epitaxial Growth with Elasticity on Vicinal Surfaces
G. Dal Maso
Abstract: In this paper it is shown existence of weak solutions of a variational inequality derived from the continuum model introduced by Xiang [7, formula (3.62)] (see also the work of Xiang and E  and Xu and Xiang ) to describe the self-organization of terraces and steps driven by misfit elasticity between a film and a substrate in heteroepitaxial growth. This model is obtained as a continuum limit of discrete theories of Duport, Politi, and Villain  and Tersoff, Phang, Zhang, and Lagally.
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