Stochastic elastic equation driven by fractional Brownian motion |
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| Authors: | Yinghan Zhang |
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| Affiliation: | Department of Mathematics, Beihang University, LMIB of the Ministry of Education, Beijing, China. |
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| Abstract: | In this paper, we consider the stochastic elastic equation driven by a cylindrical fractional Brownian motion. The regularities of the solution to the linear stochastic problem corresponding to the stochastic elastic equation are proved. Then, we obtain the existence of the solution using the Picard iteration. |
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| Keywords: | Fractional Brownian motion Hurst parameter stochastic partial differential equations |
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