期刊
JOURNAL OF FUNCTIONAL ANALYSIS
卷 243, 期 2, 页码 631-678出版社
ACADEMIC PRESS INC ELSEVIER SCIENCE
DOI: 10.1016/j.jfa.2006.09.010
关键词
Burgers equation; Levy process; Q-Wiener process; strong solution; weak solution; mild solution; invariant measure
类别
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. (C) 2006 Elsevier Inc. All rights reserved.
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