Extrapolation methods to solve non-autonomous retarded partial differential equations
Volume 126 / 1997
Studia Mathematica 126 (1997), 219-233
DOI: 10.4064/sm-126-3-219-233
Abstract
Using extrapolation spaces introduced by Da Prato-Grisvard and Nagel we prove a non-autonomous perturbation theorem for Hille-Yosida operators. The abstract result is applied to non-autonomous retarded partial differential equations.