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math.AP2011★ 5 cited
Elliptic operators and maximal regularity on periodic little-Hölder spaces
Jeremy LeCrone
We consider one-dimensional inhomogeneous parabolic equations with higher-order elliptic differential operators subject to periodic boundary conditions. In our main result we show…
math.AP2011
Continuous maximal regularity and analytic semigroups
Jeremy LeCrone, Gieri Simonett
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…