REMARKS ON NONLINEAR STOCHASTIC PARTIAL DIFFERENTIAL EQUATIONS - AN APPLICATION OF THE SPLITTING-UP METHOD

Nagase N.

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REMARKS ON NONLINEAR STOCHASTIC PARTIAL DIFFERENTIAL EQUATIONS - AN APPLICATION OF THE SPLITTING-UP METHOD

机译：非线性随机偏微分方程的一点注记-分裂法的一个应用。

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The objective of this article is to apply the splitting-up method to the existence theorem for nonlinear stochastic partial differential equations. With use of this method an approximating sequence is constructed. By the compactness argument a convergent subsequence can be extracted, and this fact provides the solution. [References: 5]

机译：本文的目的是将分解方法应用于非线性随机偏微分方程的存在性定理。使用这种方法，可以构造一个近似序列。通过紧实度参数，可以提取收敛子序列，这一事实提供了解决方案。 [参考：5]

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《SIAM Journal on Control and Optimization》 |1995年第6期|共15页
作者
Nagase N.;
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原文格式 PDF
正文语种 eng
中图分类应用数学;
关键词
Splitting-up method; Stochastic partial differential equation;

机译：分解法;随机偏微分方程;

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专利

1. REMARKS ON NONLINEAR STOCHASTIC PARTIAL DIFFERENTIAL EQUATIONS - AN APPLICATION OF THE SPLITTING-UP METHOD [J] . Nagase N. SIAM Journal on Control and Optimization . 1995,第6期

机译：非线性随机偏微分方程的一点注记-分裂法的一个应用。
2. On the splitting-up method and stochastic partial differential equations [J] . Gyongy I., Krylov N. The Annals of Probability: An Official Journal of the Institute of Mathematical Statistics . 2003,第2期

机译：关于分解方法和随机偏微分方程
3. Estimation of 1-dimensional nonlinear stochastic differential equations based on higher-order partial differential equation numerical scheme and its application [J] . Li Peiyan, Gu Wei Frontiers of mathematics in China . 2017,第6期

机译：基于高阶偏微分方程数值格式的一维非线性随机微分方程估计及其应用
4. An Application for Nonlinear Partial Differential Equations Involving Mixed Partial Derivatives by Laplace Substitution Method [C] . S. S. Handibag, B.D. Karande International Conference on Mathematical Problems in Engineering and Aerospace Sciences . 2014

机译：拉普拉斯替代方法涉及混合局部衍生物的非线性局部微分方程的应用
5. Parallel domain decomposition methods for stochastic partial differential equations and analysis of nonlinear integral equations. [D] . Jin, Chao. 2007

机译：随机偏微分方程的并行域分解方法和非线性积分方程的分析。
6. Colloquium PaperNonlinear partial differential equations and applications: Crystalline variational methods [O] . Jean E. Taylor 2007

机译：非线性偏微分方程及其应用：结晶变分法
7. A parallel splitting-up method for partial differential equations and its applications to Navier-Stokes equations [O] . Lu T., Neittaanmaki P., Tai X.-C. 1992

机译：偏微分方程的并行分解方法及其在Navier-Stokes方程中的应用
8. Some Results of Existence and Uniqueness for Nonlinear Partial Differential Equations and Remarks on the Approximation of Some Nonlinear Elliptic Equations [R] . Temam, R. 1968

机译：非线性偏微分方程存在唯一性的若干结果及若干非线性椭圆型方程的逼近

REMARKS ON NONLINEAR STOCHASTIC PARTIAL DIFFERENTIAL EQUATIONS - AN APPLICATION OF THE SPLITTING-UP METHOD

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