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.
@article{bwmeta1.element.bwnjournal-article-smv126i3p219bwm,
author = {Abdelaziz Rhandi},
title = {Extrapolation methods to solve non-autonomous retarded partial differential equations},
journal = {Studia Mathematica},
volume = {122},
year = {1997},
pages = {219-233},
zbl = {0907.47041},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-smv126i3p219bwm}
}
Rhandi, Abdelaziz. Extrapolation methods to solve non-autonomous retarded partial differential equations. Studia Mathematica, Tome 122 (1997) pp. 219-233. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-smv126i3p219bwm/
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