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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.
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 -