@article {2013,
	title = {Analytical validation of a continuum model for epitaxial growth with elasticity on vicinal surfaces},
	number = {Archive for Rational Mechanics and Analysis},
	year = {2013},
	publisher = {Springer},
	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 [8] and Xu and Xiang [9]) 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 [3] and Tersoff, Phang, Zhang, and Lagally[6].},
	keywords = {singular nonlinear parabolic equations, Hilbert transform, thin films},
	doi = {10.1007/s00205-014-0730-4},
	url = {http://hdl.handle.net/1963/7245},
	author = {Gianni Dal Maso and Irene Fonseca and Giovanni Leoni}
}
