Integral Identity and Measure Estimates for Stationary Fokker-planck Equations
نویسندگان
چکیده
We consider a Fokker-Planck equation in a general domain in R with Lploc drift term and W 1,p loc diffusion term for any p > n. By deriving an integral identity, we give several measure estimates of regular stationary measures in an exterior domain with respect to diffusion and Lyapunov-like or anti-Lyapunov-like functions. These estimates will be useful to problems such as the existence and non-existence of stationary measures in a general domain as well as the concentration and limit behaviors of stationary measures as diffusion vanishes.
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تاریخ انتشار 2014