REGULARITY OF RANDOM ATTRACTORS FOR STOCHASTIC SEMILINEAR DEGENERATE PARABOLIC EQUATIONS

被引：0

作者：

Cung The Anh ^{[1
]}

Tang Quoc Bao ^{[2
]}

Nguyen Van Thanh ^{[3
]}

机构：

[1] Hanoi Natl Univ Educ, Dept Math, Hanoi, Vietnam

[2] Hanoi Univ Sci & Technol, Sch Appl Math & Informat, Hanoi, Vietnam

[3] Hanoi Natl Univ, Foreign Languages Specialized Sch, Univ Languages & Int Studies, Hanoi, Vietnam

来源：

ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS | 2012年

关键词：

Random dynamical systems; random attractors; regularity; stochastic degenerate parabolic equations; asymptotic a priori estimate method; REACTION-DIFFUSION EQUATIONS; RANDOM DYNAMICAL-SYSTEMS; GLOBAL ATTRACTORS; UNBOUNDED-DOMAINS; EXISTENCE; CONVERGENCE;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We consider the stochastic semilinear degenerate parabolic equation du + [-div(sigma(x)del u) + f(u) + lambda u] dt = gdt + Sigma(m)(j=1) h(j)d omega(j) in a bounded domain O subset of R-N, with the nonlinearity satisfies an arbitrary polynomial growth condition. The random dynamical system generated by the equation is shown to have a random attractor {A(omega)}omega is an element of Omega in D-0(1) (O, sigma) boolean AND L-p(O). The results obtained improve some recent ones for stochastic semilinear degenerate parabolic equations.

引用

页数：22

共 50 条

[31] Random attractors via pathwise mild solutions for stochastic parabolic evolution equations [J].

Kuehn, Christian ;

Neamtu, Alexandra ;

Sonner, Stefanie .

JOURNAL OF EVOLUTION EQUATIONS, 2021, 21 (02) :2631-2663

[32] Random attractors via pathwise mild solutions for stochastic parabolic evolution equations [J].

Christian Kuehn ;

Alexandra Neamţu ;

Stefanie Sonner .

Journal of Evolution Equations, 2021, 21 :2631-2663

[33] PULLBACK ATTRACTORS FOR A NON-AUTONOMOUS SEMILINEAR DEGENERATE PARABOLIC EQUATION [J].

Li, Xin ;

Sun, Chunyou ;

Zhou, Feng .

TOPOLOGICAL METHODS IN NONLINEAR ANALYSIS, 2016, 47 (02) :511-528

[34] Random attractors for stochastic plate equations with memory in unbounded domains [J].

Yao, Xiao Bin .

OPEN MATHEMATICS, 2021, 19 (01) :1435-1460

[35] EXISTENCE AND REGULARITY RESULTS FOR A SINGULAR PARABOLIC EQUATIONS WITH DEGENERATE COERCIVITY [J].

El Ouardy, Mounim ;

El Hadfi, Youssef ;

Ifzarne, Aziz .

DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES S, 2022, 15 (01) :117-141

[36] The conjugacy of stochastic and random differential equations and the existence of global attractors [J].

Imkeller P. ;

Schmalfuss B. .

Journal of Dynamics and Differential Equations, 2001, 13 (2) :215-249

[37] Random attractors for locally monotone stochastic partial differential equations [J].

Gess, Benjamin ;

Liu, Wei ;

Schenke, Andre .

JOURNAL OF DIFFERENTIAL EQUATIONS, 2020, 269 (04) :3414-3455

[38] GLOBAL ATTRACTORS FOR A CLASS OF DEGENERATE PARABOLIC EQUATIONS WITH MEMORY [J].

Ma, Shan ;

You, Bo .

DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B, 2023, 28 (03) :2044-2055

[39] Regularity of random attractors for non-autonomous stochastic discrete complex Ginzburg-Landau equations [J].

Yang, Yuan ;

Shu, Ji ;

Zhang, Jian .

JOURNAL OF DIFFERENCE EQUATIONS AND APPLICATIONS, 2020, 26 (05) :587-608

[40] Stochastic non-isotropic degenerate parabolic-hyperbolic equations [J].

Gess, Benjamin ;

Souganidis, Panagiotis E. .

STOCHASTIC PROCESSES AND THEIR APPLICATIONS, 2017, 127 (09) :2961-3004

← 1 2 3 4 5 →