WELL-POSEDNESS AND STABILITY FOR NON-AUTONOMOUS STOCHASTIC EVOLUTION EQUATIONS OF PARABOLIC-TYPE WITH ADDITIVE NOISE

被引：0

作者：

Zhang, Xuping ^{[1
]}

Feng, Zhaosheng ^{[2
]}

机构：

[1] Northwest Normal Univ, Dept Math, Lanzhou 730070, Peoples R China

[2] Univ Texas Rio Grande Valley, Sch Math & Stat Sci, Edinburg, TX 78539 USA

来源：

DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B | 2024年 / 29卷 / 05期

关键词：

Evolution equation; mild solution; measure of noncompactness; Wiener process; semigroup; MILD SOLUTIONS; DIFFERENTIAL-EQUATIONS; ASYMPTOTIC-BEHAVIOR; WEIGHTED PSEUDO; ATTRACTORS; EXISTENCE;

D O I：

10.3934/dcdsb.2023185

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We are concerned with the well-posedness and stability for a class of non-autonomous stochastic evolution equations of parabolic-type with additive noise. After proving the local existence of mild solutions of non-autonomous stochastic evolution equations with arbitrarily initial time and initial value, we obtain the blowup alternative property, global existence of mild solutions as well as asymptotic stability of mild solutions in fi-th moment for the associated initial value problem when the evolution family is noncompact.

引用

页码：2435 / 2452

页数：18

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