Periodic solutions of an abstract third-order differential equation

Verónica Poblete, and Juan C. Pozo. "Periodic solutions of an abstract third-order differential equation." Studia Mathematica 215.3 (2013): 195-219. <http://eudml.org/doc/285398>.

@article{VerónicaPoblete2013,
abstract = {Using operator valued Fourier multipliers, we characterize maximal regularity for the abstract third-order differential equation αu'''(t) + u''(t) = βAu(t) + γBu'(t) + f(t) with boundary conditions u(0) = u(2π), u'(0) = u'(2π) and u''(0) = u''(2π), where A and B are closed linear operators defined on a Banach space X, α,β,γ ∈ ℝ₊, and f belongs to either periodic Lebesgue spaces, or periodic Besov spaces, or periodic Triebel-Lizorkin spaces.},
author = {Verónica Poblete, Juan C. Pozo},
journal = {Studia Mathematica},
keywords = {third-order differential equation; -boundedness; -boundedness; Fourier multipliers; maximal regularity; periodic solution; UMD Banach space},
language = {eng},
number = {3},
pages = {195-219},
title = {Periodic solutions of an abstract third-order differential equation},
url = {http://eudml.org/doc/285398},
volume = {215},
year = {2013},
}

TY - JOUR
AU - Verónica Poblete
AU - Juan C. Pozo
TI - Periodic solutions of an abstract third-order differential equation
JO - Studia Mathematica
PY - 2013
VL - 215
IS - 3
SP - 195
EP - 219
AB - Using operator valued Fourier multipliers, we characterize maximal regularity for the abstract third-order differential equation αu'''(t) + u''(t) = βAu(t) + γBu'(t) + f(t) with boundary conditions u(0) = u(2π), u'(0) = u'(2π) and u''(0) = u''(2π), where A and B are closed linear operators defined on a Banach space X, α,β,γ ∈ ℝ₊, and f belongs to either periodic Lebesgue spaces, or periodic Besov spaces, or periodic Triebel-Lizorkin spaces.
LA - eng
KW - third-order differential equation; -boundedness; -boundedness; Fourier multipliers; maximal regularity; periodic solution; UMD Banach space
UR - http://eudml.org/doc/285398
ER -