In this paper we establish a result regarding the connection between continuous maximal regularity and generation of analytic semigroups on a pair of densely embedded Banach spaces. More precisely, we show that continuous maximal regularity for a closed operator A : E1 → E0 implies that A generates a strongly continuous analytic semigroup on E0 with domain equal E1.
Copyright © 2011 American Institute of Mathematical Sciences. Article first published online: Discrete and Continuous Dynamical Systems, Supplement 2011. Proceedings of the 8th AIMS International Conference (Dresden, Germany), 963-970.
LeCrone, J., and G. Simonett. "Continuous maximal regularity and analytic semigroups.". Discrete and Continuous Dynamical Systems, Supplement 2011. Proceedings of the 8th AIMS International Conference (Dresden, Germany), 963-970.
LeCrone, Jeremy and Simonett, Gieri, "Continuous Maximal Regularity and Analytic Semigroups" (2011). Math and Computer Science Faculty Publications. 158.