@article{10902/15992,
year = {2019},
url = {http://hdl.handle.net/10902/15992},
abstract = {ABSTRACT: In this paper we study the large time behavior of the solutions to the following nonlinear fourth-order equations 
@tu=Δe-Δu;@tu=-u2Δ2(u3)
These two PDE were proposed as models of the evolution of crystal surfaces by J. Krug, H.T. Dobbs, and S. Majaniemi (Z. Phys. B, 97,281-291, 1995) and H. Al Hajj Shehadeh, R. V. Kohn, and J. Weare (Phys. D, 240, 1771-1784, 2011), respectively. In particular, we find explicitly computable conditions on the size of the initial data (measured in terms of the norm in a critical space) guaranteeing the global existence and exponential decay to equilibrium in the Wiener algebra and in Sobolev spaces},
publisher = {American Institute of Mathematical Sciences},
publisher = {Discrete and continuous dynamical systems, Volume 39, Number 4, April 2019, pp. 2101-2131},
title = {Global existence and decay to equilibrium for some crystal surface models},
author = {Granero Belinchón, Rafael and Magliocca, Martina},
}