随机广义多孔介质方程的 Harnack 不等式及其应用
概率论
2009-09-29 v1
摘要
利用耦合和 Girsanov 变换，证明了一类随机广义多孔介质方程解的转移半群具有无维 Harnack 不等式和强 Feller 性质。作为应用，导出了密度范数的显式上界，以及相应半群的超压缩性、超压缩性和紧性。
引用
@article{arxiv.0708.1671,
title = {Harnack inequality and applications for stochastic generalized porous media equations},
author = {Feng-Yu Wang},
journal= {arXiv preprint arXiv:0708.1671},
year = {2009}
}
备注
Published at http://dx.doi.org/10.1214/009117906000001204 in the Annals of Probability (http://www.imstat.org/aop/) by the Institute of Mathematical Statistics (http://www.imstat.org)