Maximal regularity of delay equations in Banach spaces

Carlos Lizama; Verónica Poblete

Studia Mathematica (2006)

  • Volume: 175, Issue: 1, page 91-102
  • ISSN: 0039-3223

Abstract

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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.

How to cite

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Carlos Lizama, and Verónica Poblete. "Maximal regularity of delay equations in Banach spaces." Studia Mathematica 175.1 (2006): 91-102. <http://eudml.org/doc/285019>.

@article{CarlosLizama2006,
abstract = {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.},
author = {Carlos Lizama, Verónica Poblete},
journal = {Studia Mathematica},
keywords = {Fourier multipliers; delay differential equations; Co-semigroups},
language = {eng},
number = {1},
pages = {91-102},
title = {Maximal regularity of delay equations in Banach spaces},
url = {http://eudml.org/doc/285019},
volume = {175},
year = {2006},
}

TY - JOUR
AU - Carlos Lizama
AU - Verónica Poblete
TI - Maximal regularity of delay equations in Banach spaces
JO - Studia Mathematica
PY - 2006
VL - 175
IS - 1
SP - 91
EP - 102
AB - 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.
LA - eng
KW - Fourier multipliers; delay differential equations; Co-semigroups
UR - http://eudml.org/doc/285019
ER -

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