期刊信息
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- 刊名: 河北师范大学学报(哲学社会科学版)Journal of Hebei Normal University (Philosophy and Social Sciences Edition)
- 主办: 河北师范大学
- ISSN: 1000-5587
- CN: 13-1029/C
- 该刊被以下数据库收录:
- AMI综合评价(A刊)核心期刊
- RCCSE中国核心学术期刊
- 中国期刊方阵入选期刊
- 全国百强社会科学学报
- 中国人民大学“复印报刊资料”重要转载来源期刊
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
参考文献 12
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