Forms, functional calculus, cosine functions and perturbation

Wolfgang Arendt, and Charles J. K. Batty. "Forms, functional calculus, cosine functions and perturbation." Banach Center Publications 75.1 (2007): 17-38. <http://eudml.org/doc/282188>.

@article{WolfgangArendt2007,
abstract = {In this article we describe properties of unbounded operators related to evolutionary problems. It is a survey article which also contains several new results. For instance we give a characterization of cosine functions in terms of mild well-posedness of the Cauchy problem of order 2, and we show that the property of having a bounded $H^∞$-calculus is stable under rank-1 perturbations whereas the property of being associated with a closed form and the property of generating a cosine function are not.},
author = {Wolfgang Arendt, Charles J. K. Batty},
journal = {Banach Center Publications},
keywords = {forms; functional calculus; sectorial operators; perturbations; cosine function; evolution equation},
language = {eng},
number = {1},
pages = {17-38},
title = {Forms, functional calculus, cosine functions and perturbation},
url = {http://eudml.org/doc/282188},
volume = {75},
year = {2007},
}

TY - JOUR
AU - Wolfgang Arendt
AU - Charles J. K. Batty
TI - Forms, functional calculus, cosine functions and perturbation
JO - Banach Center Publications
PY - 2007
VL - 75
IS - 1
SP - 17
EP - 38
AB - In this article we describe properties of unbounded operators related to evolutionary problems. It is a survey article which also contains several new results. For instance we give a characterization of cosine functions in terms of mild well-posedness of the Cauchy problem of order 2, and we show that the property of having a bounded $H^∞$-calculus is stable under rank-1 perturbations whereas the property of being associated with a closed form and the property of generating a cosine function are not.
LA - eng
KW - forms; functional calculus; sectorial operators; perturbations; cosine function; evolution equation
UR - http://eudml.org/doc/282188
ER -