Global existence and decay to equilibrium for some crystal surface models

Rafael Granero-Belinchón, Martina Magliocca

In this paper we study the large time behavior of the solutions to the following nonlinear fourth-order equations $${\partial }_{t}u=\Delta e^{-\Delta u},$$ $${\partial }_{t}u=-u^2{\Delta }^2(u^3).$$ Thes…