WELL-POSEDNESS OF FRACTIONAL STOCHASTIC COMPLEX GINZBURG-LANDAU EQUATIONS DRIVEN BY REGULAR ADDITIVE NOISE

被引：2

作者：

Liu, Aili

Zou, Yanyan

Ren, Die

Shu, Ji ^{[1
]}

机构：

[1] Sichuan Normal Univ, Laurent Math Ctr, Sch Math Sci, Chengdu, Peoples R China

来源：

DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B | 2023年 / 28卷 / 11期

基金：

中国国家自然科学基金;

关键词：

Ginzburg-Landau equation; Regular additive noise; Fractional Lapla-cian; Unbounded domain; DYNAMICAL PROPERTIES;

D O I：

10.3934/dcdsb.2023059

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper deals with the well-posedness of the solutions of the fractional complex Ginzburg-Landau equation driven by locally Lipschitz nonlinear diffusion terms defined on Rn. We first give the pathwise uniform estimates and uniform estimates on average. Then we prove the existence, uniqueness and measurability of solutions for the equation.

引用

页码：5418 / 5436

页数：19

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