区域上非对称Ornstein-Uhlenbeck半群的L^2理论
概率论
2012-10-29 v2 偏微分方程分析
泛函分析
摘要
我们给出了关于解析Ornstein-Uhlenbeck半群的一些新结果，并将它们用于将Da Prato和Lunardi关于开区域O上Ornstein-Uhlenbeck半群的近期工作扩展到非对称情形。记半群的生成元为L_O，我们得到了使得Dom(√(-L_O))为一阶Sobolev空间的充分条件。
引用
@article{arxiv.1207.0859,
title = {L^2-Theory for non-symmetric Ornstein-Uhlenbeck semigroups on domains},
author = {Joyce Assaad and Jan van Neerven},
journal= {arXiv preprint arXiv:1207.0859},
year = {2012}
}
备注
23 pages, revised version, to appear in J. Evol. Eq. The main change is a correction in Theorem 5.5: the second assertion has been withdrawn due to a gap in the original proof