In this paper we study the main properties of the Cesàro means of bi-continuous semigroups, introduced and studied by Kuhnemund. We also give some applications to Feller semigroups generated by second-order elliptic differential operators with unbounded coefficients in $C_b(R^N)$ and to evolution operators associated with nonautonomous second-order differential operators in $C_b(R^N)$ with time-periodic coefficients.
Mean Ergodic Theorems for Bi-continuous Semigroups
ALBANESE, Angela Anna
Membro del Collaboration Group
;MANCO, VincenzoMembro del Collaboration Group
;
2011-01-01
Abstract
In this paper we study the main properties of the Cesàro means of bi-continuous semigroups, introduced and studied by Kuhnemund. We also give some applications to Feller semigroups generated by second-order elliptic differential operators with unbounded coefficients in $C_b(R^N)$ and to evolution operators associated with nonautonomous second-order differential operators in $C_b(R^N)$ with time-periodic coefficients.File in questo prodotto:
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