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.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-sm154-3-1,
author = {Rinka Azuma},
title = {Approximation theorem for evolution operators},
journal = {Studia Mathematica},
volume = {157},
year = {2003},
pages = {195-206},
zbl = {1049.65044},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-sm154-3-1}
}
Rinka Azuma. Approximation theorem for evolution operators. Studia Mathematica, Tome 157 (2003) pp. 195-206. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-sm154-3-1/