Moment asymptotics for the parabolic Anderson problem with a perturbed lattice potential

被引：0

作者：

Fukushima, Ryoki ^{[1
]}

Ueki, Naomasa ^{[2
]}

机构：

[1] Kyoto Univ, Dept Math, Kyoto 6068502, Japan

[2] Kyoto Univ, Grad Sch Human & Environm Studies, Kyoto 6068501, Japan

来源：

JOURNAL OF FUNCTIONAL ANALYSIS | 2011年 / 260卷 / 03期

关键词：

Brownian motion; Random media; Perturbed lattice; Parabolic Anderson problem; MODEL; ENERGY;

D O I：

10.1016/j.jfa.2010.10.016

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

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. (C) 2010 Elsevier Inc. All rights reserved.

引用

页码：724 / 744

页数：21

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