One-dimensional stochastic Burgers equation driven by Lévy processes |
| |
| Authors: | Z. Dong T.G. Xu |
| |
| Affiliation: | Institute of Applied Mathematics, Academy of Mathematics and Systems Sciences, Academia Sinica, Beijing 100080, PR China |
| |
| Abstract: | ![]()
In this paper, we proved the global existence and uniqueness of the strong, weak and mild solutions for one-dimensional Burgers equation perturbed by a Poisson form process, a Poisson form and Q-Wiener process with the Dirichlet bounded condition. We also proved the existence of the invariant measure of these models. |
| |
| Keywords: | Burgers equation Lé vy process Q-Wiener process Strong solution Weak solution Mild solution Invariant measure |
| 本文献已被 ScienceDirect 等数据库收录！ |
|
