Analytical validation of a 2+1 dimensional continuum model for epitaxial growth with elastic substrate

Elisa Davoli, Xin Yang Lu

An analytical validation is obtained for the evolution equation $$h_t=\Delta [{\mathcal{F}}^{-1}(-aE\mathcal{F}(h))-r/h^2-\Delta h],$$ introduced in {\cite{TS}} by W.T. Tekalign and B.J. S…