Regularity of a fractional partial differential equation driven by space-time white noise
Regularity of a fractional partial differential equation driven by space-time white noise
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DOI：
10.1090/s0002-9939-09-10197-1
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发表时间：
2010-04
期刊：
影响因子：
--
通讯作者：
Min Niu;B. Xie
中科院分区：
文献类型：
--
作者：
Min Niu;B. Xie
我们将研究时空白色噪声驱动下的一维随机分数阶偏微分方程。研究了解的存在性、唯一性，特别是解的一些规律性。解在时间和空间变量上的收敛性取决于算子的分数阶与系数的关系。
We will deal with one dimensional stochastic fractional order partial differential equation driven by space-time white noise. The existence and uniqueness of the solution and especially some regularities of the solution are investigated. The regularities of the solution in its time and space variables depend on the relation of the fractional order of its operator and coefficients.