Approximation theorem for evolution operators

Rinka Azuma. "Approximation theorem for evolution operators." Studia Mathematica 154.3 (2003): 195-206. <http://eudml.org/doc/284623>.

@article{RinkaAzuma2003,
abstract = {This paper is devoted to the study of the approximation problem for the abstract hyperbolic differential equation u'(t) = A(t)u(t) for t ∈ [0,T], where A(t):t ∈ [0,T] is a family of closed linear operators, without assuming the density of their domains.},
author = {Rinka Azuma},
journal = {Studia Mathematica},
keywords = {Cauchy problem one-parameter family of linear operators; evolution operator; Banach space; convergence; consistency; stability; abstract linear initial value evolution problem},
language = {eng},
number = {3},
pages = {195-206},
title = {Approximation theorem for evolution operators},
url = {http://eudml.org/doc/284623},
volume = {154},
year = {2003},
}

TY - JOUR
AU - Rinka Azuma
TI - Approximation theorem for evolution operators
JO - Studia Mathematica
PY - 2003
VL - 154
IS - 3
SP - 195
EP - 206
AB - This paper is devoted to the study of the approximation problem for the abstract hyperbolic differential equation u'(t) = A(t)u(t) for t ∈ [0,T], where A(t):t ∈ [0,T] is a family of closed linear operators, without assuming the density of their domains.
LA - eng
KW - Cauchy problem one-parameter family of linear operators; evolution operator; Banach space; convergence; consistency; stability; abstract linear initial value evolution problem
UR - http://eudml.org/doc/284623
ER -