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

[21] Existence for semilinear parabolic stochastic equations
Barbu, Viorel
RENDICONTI LINCEI-MATEMATICA E APPLICAZIONI, 2010, 21 (04) : 397 - 403
[22] Regularity of random attractors for fractional stochastic reaction-diffusion equations on Rn
Gu, Anhui
Li, Dingshi
Wang, Bixiang
Yang, Han
JOURNAL OF DIFFERENTIAL EQUATIONS, 2018, 264 (12) : 7094 - 7137
[23] Wong-Zakai approximations and attractors for stochastic degenerate parabolic equations on unbounded domains
Miao, Fahe
Liu, Hui
Xin, Jie
STOCHASTICS AND DYNAMICS, 2021, 21 (06)
[24] Existence and Regularity of Random Attractors for Stochastic Evolution Equations Driven by Rough Noise
Neamtu, Alexandra Blessing
Seitz, Tim
JOURNAL OF DYNAMICS AND DIFFERENTIAL EQUATIONS, 2024,
[25] Regularity of random attractors for stochastic reaction-diffusion equations on unbounded domains
Bao Quoc Tang
STOCHASTICS AND DYNAMICS, 2016, 16 (01)
[26] Regularity for parabolic equations with singular or degenerate coefficients
Dong, Hongjie
Phan, Tuoc
CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS, 2021, 60 (01)
[27] INITIAL REGULARITY FOR SOLUTIONS OF DEGENERATE PARABOLIC EQUATIONS
LIEBERMAN, GM
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 1990, 14 (06) : 525 - 536
[28] Boundary regularity for degenerate and singular parabolic equations
Bjorn, Anders
Bjorn, Jana
Gianazza, Ugo
Parviainen, Mikko
CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS, 2015, 52 (3-4) : 797 - 827
[29] Regularity for parabolic equations with singular or degenerate coefficients
Hongjie Dong
Tuoc Phan
Calculus of Variations and Partial Differential Equations, 2021, 60
[30] ON THE REGULARITY OF THE SOLUTIONS OF SOME DEGENERATE PARABOLIC EQUATIONS
BLANC, P
COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS, 1993, 18 (5-6) : 821 - 846

← 1 2 3 4 5 →