We characterize existence and uniqueness of solutions for an inhomogeneous abstract delay equation in Hölder spaces. The main tool is the theory of operator-valued Fourier multipliers.
@article{10_4064_sm175_1_6,
author = {Carlos Lizama and Ver\'onica Poblete},
title = {Maximal regularity of delay equations
in {Banach} spaces},
journal = {Studia Mathematica},
pages = {91--102},
year = {2006},
volume = {175},
number = {1},
doi = {10.4064/sm175-1-6},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.4064/sm175-1-6/}
}
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AU - Carlos Lizama
AU - Verónica Poblete
TI - Maximal regularity of delay equations
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JO - Studia Mathematica
PY - 2006
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EP - 102
VL - 175
IS - 1
UR - http://geodesic.mathdoc.fr/articles/10.4064/sm175-1-6/
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%A Carlos Lizama
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in Banach spaces
%J Studia Mathematica
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Carlos Lizama; Verónica Poblete. Maximal regularity of delay equations
in Banach spaces. Studia Mathematica, Tome 175 (2006) no. 1, pp. 91-102. doi: 10.4064/sm175-1-6