Author | : René Carmona |
File Size | : 46,8 Mb |
Publisher | : American Mathematical Soc. |
Language | : English |
Release Date | : 04 May 1994 |
ISBN | : 9780821825778 |
Pages | : 125 pages |
Parabolic Anderson Problem and Intermittency by René Carmona Book PDF Summary
This book is devoted to the analysis of the large time asymptotics of the solutions of the heat equation in a random time-dependent potential. The authors give complete results in the discrete case of the $d$-dimensional lattice when the potential is, at each site, a Brownian motion in time. The phenomenon of intermittency of the solutions is discussed.