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- W1624288766 abstract "Let $Usubset K$ be an open and dense subset of a compact metric space and let ${Phi_t}_{tge0}$ be a Markov semigroup on the space of bounded Borel measurable functions on $U$ with the strong Feller property. Suppose that for each $xinbdu$ there exists a barrier $hin C(K)$ at $x$ such that $Phi_t(h)ge h$ for all $tge0$. Suppose also that every real-valued $gin C(K)$ with $Phi_t(g)ge g$ for all $tge0$ and which attains its global maximum at a point inside $U$ is constant. Then for each $fin C(K)$ there exists the uniform limit $F=lim_{ttoinfty}Phi_t(f)$. Moreover $F$ is continuous on $K$, agrees with $f$ on $partial{U}$ and $Phi_t(F)=F$ for all $tge0$." @default.
- W1624288766 created "2016-06-24" @default.
- W1624288766 creator A5081773252 @default.
- W1624288766 date "2013-01-01" @default.
- W1624288766 modified "2023-09-27" @default.
- W1624288766 title "ASYMPTOTIC STABILITY FOR A CLASS OF MARKOV SEMIGROUPS" @default.
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