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2011, 2011(Special): 963-970. doi: 10.3934/proc.2011.2011.963

## Continuous maximal regularity and analytic semigroups

 1 Department of Mathematics, Vanderbilt University, Nashville, TN 37240, United States

Received  July 2010 Revised  March 2011 Published  October 2011

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 $E_1$.
Citation: Jeremy LeCrone, Gieri Simonett. Continuous maximal regularity and analytic semigroups. Conference Publications, 2011, 2011 (Special) : 963-970. doi: 10.3934/proc.2011.2011.963
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