NON-AUTONOMOUS STOCHASTIC EVOLUTION EQUATIONS IN BANACH SPACES OF MARTINGALE TYPE 2: STRICT SOLUTIONS AND MAXIMAL REGULARITY

Ton Viet Ta

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NON-AUTONOMOUS STOCHASTIC EVOLUTION EQUATIONS IN BANACH SPACES OF MARTINGALE TYPE 2: STRICT SOLUTIONS AND MAXIMAL REGULARITY

机译：MAR型Banach空间中的非自治随机演化方程2：严格解和最大正则性

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摘要

This paper is devoted to studying a non-autonomous stochastic linear evolution equation in Banach spaces of martingale type 2. We construct unique strict solutions to the equation and show their maximal regularity. The abstract results are then applied to stochastic diffusion equations.

机译：本文致力于研究of类型2的Banach空间中的非自治随机线性演化方程。我们对该方程构造唯一的严格解，并证明它们的最大正则性。然后将抽象结果应用于随机扩散方程。

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来源
《Discrete and continuous dynamical systems》 |2017年第8期|4507-4542|共36页
作者
Ton Viet Ta;
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作者单位

Center for Promotion of International Education and Research Faculty of Agriculture, Kyushu University 6-10-1 Hakozaki, Higashi-ku, Fukuoka 812-8581, Japan;

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正文语种 eng
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关键词
Evolution operators; stochastic linear evolution equations; strict solutions; maximal regularity; Banach spaces of martingale type 2;

机译：进化算子;随机线性发展方程;严格的解决方案;最大规律性;mar类型2的Banach空间;

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1. Maximal regularity for non-autonomous stochastic evolution equations in UMD Banach spaces [J] . T?N VIêT TA, ATSUSHI YAGI, YOSHITAKA YAMAMOTO Proceedings of the Indian Academy of Sciences. Mathematical sciences . 2017,第5期

机译：UMD Banach空间中非自治随机演化方程的最大正则性
2. Martingale solutions and invariant measures for stochastic evolution equations in Banach spaces [J] . Zdzislaw Brzezniak, Dariusz Gatarek Stochastic Processes and Their Applications: An Official Journal of the Bernoulli Society for Mathematical Statistics and Probability . 1999,第2期

机译：Banach空间中随机演化方程的解和不变测度
3. Optimal regularity of stochastic evolution equations in M-type 2 Banach spaces [J] . Hong Jialin, Huang Chuying, Liu Zhihui Journal of Differential Equations . 2019,第3期

机译：M型2 Banach空间中随机演化方程的最佳规律性
4. Exponential Stability of Quasi-Linear Non-Autonomous Differential Equations in Banach Spaces [C] . Liu Lixin Chinese Control Conference . 2008

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5. Stochastic Differential Equations and Strict Local Martingales [D] . Qiu, Lisha. 2018

机译：随机微分方程和严格的局部Martin
6. ON A „MONOTONICITY METHOD FOR THE SOLUTION OF NONLINEAR EQUATIONS IN BANACH SPACES [O] . George J. Minty 1963

机译：Banach空间中非线性方程解的单调性方法
7. Strict solutions to stochastic semilinear evolution equations in M-type 2 Banach spaces [O] . Tôn Việt Tạ 2021

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8. Stochastic Evolution Equations Driven by Nuclear-Space-Valued Martingales [R] . Kallianpur, G., Perez-Abreu, V. 1988

机译：核空间价值鞅驱动的随机发展方程

NON-AUTONOMOUS STOCHASTIC EVOLUTION EQUATIONS IN BANACH SPACES OF MARTINGALE TYPE 2: STRICT SOLUTIONS AND MAXIMAL REGULARITY

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