Log-Harnack inequality for stochastic Burgers equations and applications
Log-Harnack inequality for stochastic Burgers equations and applications
复制标题
DOI：
10.1016/j.jmaa.2011.02.032
复制
发表时间：
2010-09
影响因子：
1.3
通讯作者：
Feng-Yu Wang;Jiang-Lun Wu;Lihu Xu
中科院分区：
文献类型：
--
作者：
Feng-Yu Wang;Jiang-Lun Wu;Lihu Xu
通过证明相应Galerkin逼近的L2-梯度估计，建立了一类随机Burgers方程半群的log-Harnack不等式.作为应用，我们得到了半群的强Feller性质、解的不可约性、伴随半群的熵-代价不等式以及转移密度的熵上界。
By proving an L2-gradient estimate for the corresponding Galerkin approximations, the log-Harnack inequality is established for the semigroup associated to a class of stochastic Burgers equations. As applications, we derive the strong Feller property of the semigroup, the irreducibility of the solution, the entropy-cost inequality for the adjoint semigroup, and entropy upper bounds of the transition density.