摘要
For a reasonable class of weak Poincaré inequalities, the decay of the corresponding Markov semigroups obtained earlier by Rockner and the first named author is improved by removing an extra L^2-norm. Next, a concentration estimate of the reference measure is presented for the weak Poincaré inequality, which is sharp as illustrated by some examples of one-dimensional diffusion processes.
For a reasonable class of weak Poincaré inequalities, the decay of the corresponding Markov semigroups obtained earlier by Rockner and the first named author is improved by removing an extra L^2-norm. Next, a concentration estimate of the reference measure is presented for the weak Poincaré inequality, which is sharp as illustrated by some examples of one-dimensional diffusion processes.
基金
Research supported in part by NNSFC(10121101,10025105),TRAPOYT
the 973-Project
