Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
1156436 | Stochastic Processes and their Applications | 2015 | 24 Pages |
Abstract
We consider the stochastic wave equation on the real line driven by space–time white noise and with irregular initial data. We give bounds on higher moments and, for the hyperbolic Anderson model, explicit formulas for second moments. These bounds imply weak intermittency and allow us to obtain sharp bounds on growth indices for certain classes of initial conditions with unbounded support.
Related Topics
Physical Sciences and Engineering
Mathematics
Mathematics (General)
Authors
Le Chen, Robert C. Dalang,