Article ID Journal Published Year Pages File Type
4591767 Journal of Functional Analysis 2011 21 Pages PDF
Abstract

The parabolic Anderson problem with a random potential obtained by attaching a long tailed potential around a randomly perturbed lattice is studied. The moment asymptotics of the total mass of the solution is derived. The results show that the total mass of the solution concentrates on a small set in the space of configuration.

Related Topics
Physical Sciences and Engineering Mathematics Algebra and Number Theory