Closability of quadratic forms associated to invariant probability measures of SPDEs

Roeckner Michael; Wang Feng-Yu

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Closability of quadratic forms associated to invariant probability measures of SPDEs

机译：与不变概率衡量的二次形式的独立性，SPDES

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摘要

By using the integration by parts formula of a Markov operator, the closability of quadratic forms associated to the corresponding invariant probability measure is proved. The general result is applied to the study of semilinear SPDEs, infinite-dimensional stochastic Hamiltonian systems, and semilinear SPDEs with delay.

机译：通过使用Markov运算符的零件公式的集成，证明了与相应的不变概率测量相关的二次形式的关闭性。将一般结果应用于半线性SPDES，无限维随机汉密尔顿系统的研究，以及延迟的半线性SPDES。

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来源
《Infinite dimensional analysis, quantum probability, and related topics》 |2017年第4期|共15页
作者
Roeckner Michael; Wang Feng-Yu;
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作者单位

Bielefeld Univ Dept Math D-33501 Bielefeld Germany;

Tianjin Univ Ctr Appl Math Tianjin 300072 Peoples R China;

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原文格式 PDF
正文语种 eng
中图分类物理学;
关键词
Closability; invariant probability measure; semi-linear SPDEs; integration by parts formula;

机译：关闭性;不变的概率测量;半线性spdes;通过零件公式集成;

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专利

1. Closability of quadratic forms associated to invariant probability measures of SPDEs [J] . Roeckner Michael, Wang Feng-Yu Infinite dimensional analysis, quantum probability, and related topics . 2017,第4期

机译：与不变概率衡量的二次形式的独立性，SPDES
2. Qualitative Properties of Local Random Invariant Manifolds for SPDEs with Quadratic Nonlinearity [J] . Dirk Bloemker, Wei Wang Journal of dynamics and differential equations . 2010,第4期

机译：具有二次非线性的SPDEs的局部随机不变流形的定性性质。
3. Invariant or quasi-invariant probability measures for infinite dimensional groups Part II: Unitarizing measures or Berezinian measures [J] . Paul Malliavin Japanese Journal of Mathematics . 2008,第1期

机译：无穷维组的不变或准不变概率测度第二部分：统一测度或贝雷津测度
4. Localization and the invariant probability measure for a structural dynamic system [C] . Glen J. Kissel Conference on modeling, signal processing, and control for smart structures; 20090311-12; San Diego, CA(US) . 2009

机译：结构动力系统的局部化和不变概率测度
5. New u-invariants of quadratic forms and function fields of good forms of height two [D] . Schubert, Claus Alexander. 2006

机译：新的U-Invariants的二次形式和良好形式的高度2的函数字段
6. Invariants of Relative Quadratic Differential Forms [O] . Tracy Yerkes Thomas 1925

机译：相对二次微分形式的不变量
7. Estimates for Invariant Probability Measures of Degenerate SPDEs with Singular and Path-Dependent Drifts [O] . Wang, Feng-Yu 2018

机译：关于退化spDEs不变概率测度的估计奇异和路径相关的漂移
8. Some Invariants for Systems of Quadratic Forms over the Integers [R] . Morales, J. 1991

机译：关于整数二次型系统的一些不变量

Closability of quadratic forms associated to invariant probability measures of SPDEs

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