| Reflected SPDEs Driven by Fractional Noises |
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| 作者姓名： | Juan YANG Qing ZHOU |
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| 作者单位： | School of Science |
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| 基金项目： | supported by the National Natural Science Foundation of China(Nos.11871010,11871116,11971040);the Fundamental Research Funds for the Central Universities(No.2019XD-A11). |
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| 摘 要： | In this paper,we study the stochastic partial differential equation with two reflecting smooth walls h^1 and h^2,driven by a fractional noise,which is fractional in time and white in space.The large deviation principle for the law of the solution to this equation,will be established through developing a classical method.Furthermore,we obtain the H?lder continuity of the solution.
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| 关 键 词： | stochastic partial differential equations with two reflecting walls FRACTIONAL BROWNIAN motion large deviation principle HOLDER CONTINUITY |
Reflected SPDEs Driven by Fractional Noises |
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| Juan YANG,Qing ZHOU.Reflected SPDEs Driven by Fractional Noises[J].Acta Mathematicae Applicatae Sinica,2020,36(2):347-360. |
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| Authors: | Yang Juan Zhou Qing |
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| Institution: | 1.School of Science, Beijing University of Posts and Telecommunications, Beijing, 100876, China
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| Abstract: | Acta Mathematicae Applicatae Sinica, English Series - In this paper, we study the stochastic partial differential equation with two reflecting smooth walls h1 and h2, driven by a fractional noise,... |
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