亚洲免费av电影一区二区三区,日韩爱爱视频,51精品视频一区二区三区,91视频爱爱,日韩欧美在线播放视频,中文字幕少妇AV,亚洲电影中文字幕,久久久久亚洲av成人网址,久久综合视频网站,国产在线不卡免费播放

        ?

        無界域上一類隨機(jī)反應(yīng)擴(kuò)散方程不變測(cè)度的存在唯一性

        2023-06-21 09:20:39鄧海斌李曉軍

        鄧海斌 李曉軍

        摘要:研究定義在無界區(qū)域上的一類隨機(jī)反應(yīng)擴(kuò)散方程不變測(cè)度的存在性和唯一性.利用方程主部算子在權(quán)空間L2ρ(Rd+)上生成算子半群的指數(shù)衰減性,對(duì)方程的解進(jìn)行整體期望有界估計(jì),并得到隨機(jī)穩(wěn)態(tài)解的存在性和指數(shù)穩(wěn)定性,進(jìn)而得到穩(wěn)態(tài)解的分布為唯一的不變測(cè)度.

        關(guān)鍵詞:隨機(jī)反應(yīng)擴(kuò)散方程; 不變測(cè)度; 指數(shù)穩(wěn)定

        中圖分類號(hào):O175.26 文獻(xiàn)標(biāo)志碼:A 文章編號(hào):1001-8395(2023)05-0608-08

        1相關(guān)引理和概念

        2穩(wěn)態(tài)解的指數(shù)穩(wěn)定性和一致有界性

        3不變測(cè)度的存在唯一性

        參考文獻(xiàn)

        [1] DA PRATO G, ZABCZYK J. Ergodicity for Infinite Dimensional Systems[M]. Cambridge:Cambridge University Press,1996.

        [2] DA PRATO G, ZABCZYK J. Stochastic Equations in Infinite Dimensions[M]. Cambridge:Cambridge University Press,1992.

        [3] CERRAI S. Stochastic reaction-diffusion systems with multiplicative noise and non-Lipschitz reaction term[J]. Probability Theory and Related Fields,2003,125(2):271-304.

        [4] WANG B X. Dynamics of fractional stochastic reaction-diffusion equations on unbounded domains driven by nonlinear noise[J].Journal of Differential Equations,2019,268(1):1-59.

        [5] MISIATS O, STANZHYTSKYI O, YIP N K. Existence and uniqueness of invariant measures for stochastic reaction-diffusion equations in unbounded domains[J]. Journal of Theoretical Probability,2016,29(3):996-1026.

        [6] ASSING S, MANTHEY R. Invariant measures for stochastic heat equations with unbounded coefficients[J]. Stochastic Processes and Their Applications,2003,103(2):237-256.

        [7] BRZEZNIAK Z, MOTYL E, ONDREJAT M. Invariant measure for the stochastic Navier-Stokes equations in unbounded 2D domains[J]. The Annals of Probability,2017,45(5):3145-3201.

        [8] ECKMANN J, HAIRER M. Invariant measures for stochastic partial differential equations in unbounded domains[J]. Nonlinearity,2001,14(1):133-151.

        [9] TESSITORE G, ZABCZYK J. Invariant measures for stochastic heat equations[J]. Probability and Mathematical Statistics,1998,18(2):271-287.

        [10] BRZENIAK Z, ONDREJT M, SEIDLER J. Invariant measures for stochastic nonlinear beam and wave equations[J]. Journal of Differential Equations,2016,260(5):4157-4179.

        Existence and Uniqueness of Invariant Measures for a Class of

        Stochastic Reaction-Diffusion Equations on Unbounded DomainsDENG Haibin,LI Xiaojun(College of Science, Hohai University, Nanjing 211100, Jiangsu)

        Abstract:In this paper, we study the existence and uniqueness of invariant measures for a class of stochastic reaction-diffusion equations defined on unbounded domains. Using the exponential decay of the operator semigroup generated by the linear operator of the equation on the weight space L2ρ(Rd+), we get the global boundness of expectation estimation of solution, obtain the existence and exponential stability of the stochastic stationary solution, and deduce that the distribution of the stationary solution is the unique invariant measure.

        Keywords:stochastic reaction-diffusion equations; invariant measure; exponential stability 〖=〗

        2020 MSC:35K57; 60H15

        (編輯 余毅)

        中文字幕经典一区| 99riav国产精品视频| 久久精品国产精油按摩| 中文字幕无码精品亚洲资源网久久 | 人妻少妇精品久久久久久| 无码av免费一区二区三区| 综合色天天久久| 日韩精品一区二区三区免费观影| 人成综合视频在线播放| 亚洲精品一区国产欧美| 国产精品三级在线观看| 一区二区日本影院在线观看| 国产乱理伦在线观看美腿丝袜| 久久99精品九九九久久婷婷 | 亚洲国产最新免费av| 成人免费无码大片a毛片抽搐色欲 日本动漫瀑乳h动漫啪啪免费 | 最新天堂一区二区三区| 亚洲人成网网址在线看| 亚洲一区二区三区国产精华液| 国产V亚洲V天堂A无码| 99久久国内精品成人免费| 久久天天躁狠狠躁夜夜2020一| 欧美激情五月| 熟女乱乱熟女乱乱亚洲| 亚洲最新无码中文字幕久久| 亚洲国产韩国欧美在线| 精品国产一区二区三区久久女人| 亚洲免费精品一区二区| 亚州性无码不卡免费视频| 白嫩少妇激情无码| 亚洲av午夜福利精品一区二区| 色婷婷精品久久二区二区蜜臀av | 国产精品国产三级国产av品爱 | 久久免费的精品国产v∧| 欧美洲精品亚洲精品中文字幕| 日本免费看片一区二区三区| 乱人妻中文字幕| 911香蕉视频| 国产一区二区三区在线观看黄| 欧美丰满熟妇bbbbbb| 亚洲精品成人专区在线观看|