Mathematical validation of a continuum model for relaxation of interacting steps in crystal surfaces in 2 space dimensions

Author:

Xu Xiangsheng

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Analysis

Reference37 articles.

1. Araújo, D., Zhang, L.: Optimal $$C^{1,\alpha }$$ estimates for a class of elliptic quasilinear equations (2016). arXiv:1507.06898v3 [math.AP]

2. Chan, W.-L., Ramasubramaniam, A., Shenoy, V.B., Chason, E.: Relaxation kinetics of nano-ripples on $$Cu(001)$$ surfaces. Phys. Rev. B 70, 245403 (2004)

3. Chiarenza, F., Frasca, M., Longo, P.: $$W^{2, p}$$-solvability of the Dirichlet problem for nondivergence elliptic equations with VMO coefficients. Trans. Am. Math. Soc. 336, 841–853 (1993)

4. Dal Maso, G., Fonseca, I., Leoni, G.: Analytical validation of a continuum model for epitaxial growth with elasticity on vicinal surfaces. Arch. Ration. Mech. Anal. 212, 1037–1064 (2014)

5. DiBenedetto, E.: Degenerate Parabolic Equations. Springer, New York (1993)

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