Article Contents
Article Contents

# Continuous maximal regularity and analytic semigroups

• 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 $A$ : $E_1 \to E_0$ implies that $A$ generates a strongly continuous analytic semigroup on $E_0$ with domain equal $E_1$.
Mathematics Subject Classification: Primary: 35K90, 47D06; Secondary: 35K35.

 Citation:

Open Access Under a Creative Commons license