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 25 条

[1]

Anh C. T., 2012, J NONLINEAR EVOL E 4, P41

[2]

Anh C. T., 2012, GLASGOW MAT IN PRESS

[3]

ANH CT, 2010, GLASGOW MATH J, V52, P537

[4] Global existence and long-time behavior of solutions to a class of degenerate parabolic equations [J].