Partial differential equations for probabilists

Chih-Yueh Wang

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Partial differential equations for probabilists

机译：概率论者的偏微分方程

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This book, a paperback reprint of the 2008 hardback edition, presents proofs concerning the basic existence and uniqueness of solutions to second-order parabolic partial differential equations that are used in probability theory, involving random variables, stochastic processes and abstractions of non-deterministic events or quantities that evolve randomly. Probability theory is fundamental to the field of statistics. It is used to predict a range of complex phenomena, such as human activities that involve the analysis of large data sets and physical phenomena on the atomic scale.

机译：这本书是2008年精装版的平装本，提供了有关概率论中使用的二阶抛物型偏微分方程解的基本存在性和唯一性的证明，涉及随机变量，随机过程和非确定性事件的抽象或随机变化的数量。概率论是统计领域的基础。它用于预测一系列复杂的现象，例如人类活动，其中涉及对大数据集的分析以及原子尺度上的物理现象。

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《Journal of applied statistics》 |2014年第6期|1393-1394|共2页
作者
Chih-Yueh Wang;
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Chung-Yuan Christian University National Taiwan University of Science and Technology and National Taipei University, Taiwan;

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专利

1. Partial Differential Equations for Probabilists [J] . Elena Kosygina Journal of the American statistical association . 2009,第488期

机译：概率论者的偏微分方程
2. Discussion on ????????Numerical solution of 2nd-order hyperbolic partial differential equations by the method of continuous characteristics????????, ????????Analogue solution of 2nd-order hyperbolic partial differential equations by the method of continuous characteristics???????? and ????????Analogue solution of elliptic differential equations by conformal transformations???????? [J] . Electrical Engineers, Proceedings of the Institution of . 1971,第6期

机译：用连续特性方法讨论二阶双曲型偏微分方程的数值解??????，二阶双曲型的模拟解偏微分方程的连续特性方法和利用共形变换的椭圆型微分方程的模拟解
3. Probabilistic approach for nonlinear partial differential equations and stochastic partial differential equations with Neumann boundary conditions [J] . Ren Jiagang, Wu Jing Journal of Mathematical Analysis and Applications . 2019,第1期

机译：Neumann边界条件的非线性偏微分方程和随机偏微分方程的概率方法
4. Prospects of Algebraization of Deformable Exponential Functions Through Ordinary Differential Equations And Partial Differential Equations [C] . Iulia Clitan, Tiberiu Colosi, Mihaela Ligia Unguresan, IEEE International Conference on Automation, Quality and Testing, Robotics . 2020

机译：利用常微分方程和偏微分方程代数化可变形指数函数的前景
5. Existence Results for Some Higher-Order Abstract Differential Equations with Applications to Partial Differential Equations (PDEs). [D] . Nelson, Valerie N. 2013

机译：一些高阶抽象微分方程的存在性结果及其在偏微分方程（PDE）中的应用。
6. Invariant Differential Forms in Several Group Variables as Solutions of Partial Differential Equations in Fréchet Differentials [O] . Aristotle D. Michal 1951

机译：Fréchet微分方程中偏微分方程解的几个组变量的不变微分形式
7. On the application of partial differential equations and fractional partial differential equations to images and their methods of solution [O] . Jacobs Byron 2014

机译：偏微分方程和分数阶偏微分方程在图像中的应用及其求解方法
8. Lyapunov stability for partial differential equations. Part 1 - Lyapunov stability theory and the stability of solutions to partial differential equations. Part 2 - Contraction groups and equivalent norms [R] . Buis, G. R., Eisen, M. M., Vogt, W. G. 1968

机译：偏微分方程的Lyapunov稳定性。第1部分 - Lyapunov稳定性理论和偏微分方程解的稳定性。第2部分 - 收缩组和等效规范

Partial differential equations for probabilists

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