Trotter-Kato theorems for bi-continuous semigroups and applications to Feller semigroups

摘要

We give results on the convergence of bi-continuous semigroups introduced and studied by Kuhnemund. As a consequence, we obtain a Lie-Trotter product formula and apply it to Feller semigroups generated by second order elliptic differential operators with unbounded coefficients in C-b (R-N). (C) 2003 Elsevier Inc. All rights reserved. [References: 19]