Periodic measures of reaction-diffusion lattice systems driven by superlinear noise

被引：2
|
作者：
Lin, Yusen [1 ,2 ]
机构：
[1] Southwest Jiaotong Univ, Sch Math, Chengdu 610031, Peoples R China
[2] Natl Engn Lab Integrated Transportat Big Data App, Chengdu 610031, Peoples R China
来源：
ELECTRONIC RESEARCH ARCHIVE | 2022年 / 30卷 / 01期
关键词：
superlinear noise; periodic measure; reaction-diffusion lattice system; ATTRACTORS; PROPAGATION; DYNAMICS; EQUATIONS; BEHAVIOR;
D O I：
10.3934/era.2022002
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
The periodic measures are investigated for a class of reaction-diffusion lattice systems driven by superlinear noise defined on Z(k). The existence of periodic measures for the lattice systems is established in l(2) by Krylov-Bogolyubov's method. The idea of uniform estimates on the tails of solutions is employed to establish the tightness of a family of distribution laws of the solutions.
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页码：35 / 51
页数：17
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