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Abstract:
In this paper, we consider the stochastic Burgers' equation driven by a genuine cylindrical fractional Brownian motion with Hurst parameter H > 1/4. We first prove the regularities of the solution to the linear stochastic problem corresponding to the stochastic Burgers' equation. Then we obtain the local and global existence and uniqueness results for the stochastic Burgers' equation. (C) 2010 Elsevier Inc. All rights reserved.
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JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS
ISSN: 0022-247X
Year: 2010
Issue: 1
Volume: 371
Page: 210-222
1 . 3 0 0
JCR@2022
ESI Discipline: MATHEMATICS;
JCR Journal Grade:1
CAS Journal Grade:2
Cited Count:
WoS CC Cited Count: 28
SCOPUS Cited Count: 30
ESI Highly Cited Papers on the List: 0 Unfold All
WanFang Cited Count:
Chinese Cited Count:
30 Days PV: 6
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