Dynamic Behavior for Non-autonomous Stochastic Semi-linear Degenerate Parabolic Equations
摘要/Abstract
摘要：
研究了半线性退化随机抛物方程随机吸引子的存在性，其中非线性项具有任意的增长指数，随机部分是依赖于空间分布和时间的白噪声.通过对变换系统解的估计与正则估计，得到渐近紧的D-拉回吸收集的存在性，从而得到随机吸引子的存在性.
Abstract：
In this paper, we study the existence of random attractor for stochastic semi-linear degenerate parabolic equations, where the nonlinearity term satisfies the arbitrary order, and the stochastic term is white noise depending on spatial distribution and time. By estimate and regular estimate of solutions of transformed system, we obtain the existence of asymptotically compact D-pullback absorbing set, and thus the existence of random attractor.
关键词
Key words：
non-autonomous system
;
stochastic system
;
parabolic equations
;
random attractor
参考文献 12
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