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.
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页数：22
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