科研之友
微信
新浪微博
Facebook
分享链接
摘要
We analyse degenerate infinite-dimensional sub-elliptic generators, and obtain estimates on the long-time behaviour of the corresponding Markov semigroups that describe a model of heat conduction. In particular, we establish ergodicity of the system for a family of invariant measures, and show that the optimal rate of convergence to equilibrium is polynomial. Consequently, there is no spectral gap, but a Liggett-Nash-type inequality is shown to hold.
- 出版日期2012-3
