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一类分式噪声(H＞1/2)扰动的抛物型随机偏微分方程(英文) 被引量：1

On a Class of Parabolic SPDEs Driven by a Fractional White Noise for H>1/2
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摘要 考虑了一类由分式噪声扰动的抛物型随机偏微分方程,利用压缩映照理论证明了这类方程L^2([0,1])值解的存在唯一性. A class of one-dimensional parabolic SPDEs driven by a fractional white noise for H〉1/2 is concerned. The existence and uniqueness of L^2（[0,1）-valued solutions of the class of SPDEs is established by exploiting contraction mapping theorem.
作者 张立东 赵玉环 王学强 杜子平
机构地区 天津科技大学数学系 中国民航大学数学系 南开大学数学科学学院 天津科技大学经济与管理学院
出处 《南开大学学报（自然科学版）》 CAS CSCD 北大核心 2010年第3期46-49,共4页 Acta Scientiarum Naturalium Universitatis Nankaiensis
基金 Supported by the National Natural Science Foundation of China(70671074) the Research Foundation of Tianjin University of Science and Technology(20080207)
关键词 抛物型随机偏微分方程 分式白噪声 格林函数 parabolic SPDEs fractional white noise Green function
分类号 O211.6 [理学—概率论与数理统计]
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参考文献9

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同被引文献14

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  • 10韩振来,时宝,孙书荣.时间尺度上二阶时滞动力方程的振动性[J].中山大学学报（自然科学版）,2007,46(6):10-13. 被引量：29

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南开大学学报（自然科学版）
2010年 第3期

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