SPD

Abstract

We consider a semilinear fourth order equation arising in surface growth caused by epitaxy or sputtering. In the first part of the talk we give a complete analysis of the one dimensional problem forced by space-time white noise in the framework of Markov solutions. In the second part we analyse the unforced case and give conditions for the emergence of blow up. Finally we briefly introduce the two dimensional problem, which corresponds to the physical case, and give a few preliminary existence results.