| 分数噪声驱动的随机热方程解的局部时 |
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| 引用本文： | 王志,闫理坦,余显烨.分数噪声驱动的随机热方程解的局部时[J].数学物理学报(A辑),2019(3):582-595. |
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| 作者姓名： | 王志 闫理坦 余显烨 |
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| 作者单位： | 宁波工程学院理学院;东华大学理学院;中山大学数学学院 |
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| 基金项目： | 国家自然科学基金(11701304,11571071,11701589);浙江省自然科学基金(LQ16A010006);中央高校基本科研业务费(171gpy17)~~ |
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| 摘 要： | 该文研究了可加分数噪声驱动的随机热方程解的碰撞局部时和相交局部时.运用局部非确定性和混沌分解等方法得到它们的存在性和光滑性.
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| 关 键 词： | 随机热方程 分数噪声 碰撞局部时 相交局部时 混沌分解 |
Local Times of the Solution to Stochastic Heat Equation with Fractional Noise |
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| Zhi Wang,Litan Yan,Xianye Yu.Local Times of the Solution to Stochastic Heat Equation with Fractional Noise[J].Acta Mathematica Scientia,2019(3):582-595. |
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| Authors: | Zhi Wang Litan Yan Xianye Yu |
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| Institution: | (School of Sciences, Ningbo University of Technology, Zhejiang Ningbo 315211;Department of Mathematics, College of Science, Donghua University, Shanghai 201620;School of Mathematics, Sun Yat-sen University, Guangzhou 510275) |
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| Abstract: | Zhi Wang;Litan Yan;Xianye Yu(School of Sciences, Ningbo University of Technology, Zhejiang Ningbo 315211;Department of Mathematics, College of Science, Donghua University, Shanghai 201620;School of Mathematics, Sun Yat-sen University, Guangzhou 510275) |
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| Keywords: | Stochastic heat equation Fractional noise Collision local time Intersection local time Chaos expansion |
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