转移半群的稳定性及其在抛物方程中的应用
泛函分析
2021-11-09 v4 偏微分方程分析
概率论
摘要
本文研究有界函数空间与带号测度空间上正算子半群的长期行为，其在带无界系数的抛物方程与随机分析中有应用。主要结果是一个刻画强 Feller 半群收敛到平衡的 Tauber 型定理，以及 Doob 经典收敛定理的推广。这些结果均不要求半群具有任何时间正则性。
引用
@article{arxiv.2005.01430,
title = {Stability of transition semigroups and applications to parabolic equations},
author = {Moritz Gerlach and Jochen Glück and Markus Kunze},
journal= {arXiv preprint arXiv:2005.01430},
year = {2021}
}
备注
25 pages. This article originally emerged from a subsection of arXiv:1705.01587v1 that was split into a separate paper. The final results in the present paper are, however, stronger and more general than those from the removed subsection of arXiv:1705.01587v1. This is version 4; various changes in the presentation compared to v3