CONCENTRATION OF INVARIANT MEASURES FOR STOCHASTIC GENERALIZED POROUS MEDIA EQUATIONS

MICHAEL ROCKNER; FENG-YU WANG

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CONCENTRATION OF INVARIANT MEASURES FOR STOCHASTIC GENERALIZED POROUS MEDIA EQUATIONS

机译：随机广义多孔介质方程组的度量集中

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摘要

By using Bernstein functions, existence and concentration properties are studied for invariant measures of the infinitesimal generators associated to a large class of stochastic generalized porous media equations. In particular, results derived in Ref. 4 are extended to equations with non-constant and stronger noises. Analogous results are also proved for invariant probability measures for strong solutions.

机译：通过使用伯恩斯坦函数，研究了存在和集中性质，用于与一类随机广义广义多孔介质方程相关的无穷小生成器的不变性度量。特别是参考文献中得出的结果。将图4扩展到具有非恒定噪声和较强噪声的方程。对于强解的不变概率测度也证明了类似的结果。

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《Infinite dimensional analysis, quantum probability, and related topics》 |2007年第3期|共13页
作者
MICHAEL ROCKNER; FENG-YU WANG;
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正文语种 eng
中图分类物理学;
关键词
Invariant measure; stochastic generalized porous medium equation; Bernstein function; concentration;

机译：不变测度随机广义多孔介质方程Bernstein函数浓度;

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专利

1. CONCENTRATION OF INVARIANT MEASURES FOR STOCHASTIC GENERALIZED POROUS MEDIA EQUATIONS [J] . MICHAEL ROCKNER, FENG-YU WANG Infinite dimensional analysis, quantum probability, and related topics . 2007,第3期

机译：随机广义多孔介质方程组的度量集中
2. Exponential stability of stochastic generalized porous media equations with jump [J] . 郭柏灵, 周国立应用数学和力学（英文版） . 2014,第008期

机译：跳的随机广义多孔介质方程的指数稳定性
3. Stochastic generalized porous media equations with reflection [J] . R?ckner M., Wang F.-Y., Zhang T. Stochastic Processes and Their Applications: An Official Journal of the Bernoulli Society for Mathematical Statistics and Probability . 2013,第11期

机译：带有反射的随机广义多孔介质方程
4. Computational Method for Relative Permeability Curves based on the Bernoulli Generalized Porous Media Equations [C] . S. Stepanov, N. Cheremisin, S. Sokolov European Conference on the Mathematics of Oil Recovery . 2014

机译：基于Bernoulli广义多孔介质方程的相对渗透曲线计算方法
5. Stochastic delay equations and invariant measure for the wave equation with noise. [D] . Zhao, Xi. 2007

机译：带有噪声的波动方程的随机延迟方程和不变测度。
6. A pedestrian approach to the invariant Gibbs measures for the 2-d defocusing nonlinear Schrödinger equations [O] . Tadahiro Oh, Laurent Thomann -1

机译：行人方法求解二维散焦非线性Schrödinger方程的不变Gibbs测度
7. Concentration of Invariant Measures for Stochastic Generalized Porous Media Equations [O] . Feng-yu Wang 2006

机译：随机广义多孔介质方程的不变量度集中
8. Invariant Imbedding and Generalized Transport Theory; a Basic Stochastic Functional Equation [R] . Bellman, R., Kalaba, R., Wing, G. M. 1958

机译：不变嵌入和广义传输理论;基本随机函数方程

CONCENTRATION OF INVARIANT MEASURES FOR STOCHASTIC GENERALIZED POROUS MEDIA EQUATIONS

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