TY - JOUR
T1 - Pullback attractor in H1 for nonautonomous stochastic reaction-diffusion equations on ℝn
AU - Liu, Linfang
AU - Fu, Xianlong
AU - You, Yuncheng
PY - 2017/12
Y1 - 2017/12
N2 - In this paper we study the asymptotic dynamics of the weak solutions of nonautonomous stochastic reaction-diffusion equations driven by a time-dependent forcing term and the multiplicative noise. By conducting the uniform estimates we show that the cocycle generated by this SRDE has a pull-back (L2, H1) absorbing set and it is pullback asymptotically compact through the pullback attening approach. The existence of a pullback (L2, H1) random attractor for this random dynamical system in space H1(ℝn) is proved.
AB - In this paper we study the asymptotic dynamics of the weak solutions of nonautonomous stochastic reaction-diffusion equations driven by a time-dependent forcing term and the multiplicative noise. By conducting the uniform estimates we show that the cocycle generated by this SRDE has a pull-back (L2, H1) absorbing set and it is pullback asymptotically compact through the pullback attening approach. The existence of a pullback (L2, H1) random attractor for this random dynamical system in space H1(ℝn) is proved.
KW - Pullback asymptotic compactness
KW - Pullback attening property
KW - Pullback random attractor
KW - Stochastic reaction-diffusion equation
UR - https://www.scopus.com/pages/publications/85028725331
U2 - 10.3934/dcdsb.2017143
DO - 10.3934/dcdsb.2017143
M3 - 文章
AN - SCOPUS:85028725331
SN - 1531-3492
VL - 22
SP - 3629
EP - 3651
JO - Discrete and Continuous Dynamical Systems - Series B
JF - Discrete and Continuous Dynamical Systems - Series B
IS - 10
ER -