| 一类带时间非自伴随机抛物微分方程的正则性研究 |
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| 引用本文： | 霍慧兰,杨小远.一类带时间非自伴随机抛物微分方程的正则性研究[J].河南科学,2014(10):1935-1940. |
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| 作者姓名： | 霍慧兰 杨小远 |
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| 作者单位： | 北京航空航天大学数学与系统科学学院信息与行为实验室,北京,100191 |
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| 摘 要： | 主要研究一类由布朗运动驱动的带有时间t的非自伴随机抛物型偏微分方程,通过对半群理论、发展系统以及插值理论的应用,得到了随机微分方程解的两种正则性估计.
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| 关 键 词： | 随机抛物偏微分方程 正则性估计 非自伴算子 |
Some regularities of a Time-Dependent Non-selfadjoint Stochastic Parabolic Equations |
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| Huo Huilan,Yang Xiaoyuan.Some regularities of a Time-Dependent Non-selfadjoint Stochastic Parabolic Equations[J].Henan Science,2014(10):1935-1940. |
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| Authors: | Huo Huilan Yang Xiaoyuan |
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| Institution: | (LMIB of the Ministry of Education, Department of Mathematics and System Science, Beihang University, Beijing 100191, China) |
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| Abstract: | The general time-dependent non-selfadjoint stochastic parabolic differential equation,which is driven by Brownian motions under Dirichlet boundary conditions,was studied. By applying the semi- group theory,development system and interpolation method,we obtained two regularities of the solution to the stochastic parabolic differential equations. |
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| Keywords: | stochastic parabolic differential equations regularity non-selfadjoint operator |
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