Continuous maximal regularity and analytic semigroups
Jeremy LeCrone, Gieri Simonett · AIMS Press eBooks · 2011
In this paper we establish a result regarding the connection betweencontinuous maximal regularity and generation of analytic semigroups ona pair of densely embedded Banach spaces. More precisely, we show that continuousmaximal regularity for a closed operator $A$ : $E_1 \to E_0$ implies that $A$generates a strongly continuous analytic semigroup on $E_0$ with domain equal$E_1$.