Abstract
In this paper we apply a set-up introduced by R. K. Miller to transform a linear, inhomogeneous Cauchy problem for the generator of a semigroup on a Banach space into a homogeneous one for a matrix operator, which is the generator of a semigroup on a suitable product space. By using restriction theorems and extrapolation spaces we obtain new results for the inhomogeneous Cauchy problem for Hille-Yosida operators in Favard spaces.
Citation
Rainer Nagel. Eugenio Sinestrari. "The Miller scheme in semigroup theory." Adv. Differential Equations 9 (3-4) 387 - 414, 2004. https://doi.org/10.57262/ade/1355867949
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