Fine scales of decay of operator semigroups

Batty, Charles J. K., Chill, Ralph, and Tomilov, Yuri. "Fine scales of decay of operator semigroups." Journal of the European Mathematical Society 018.4 (2016): 853-929. <http://eudml.org/doc/277532>.

@article{Batty2016,
abstract = {Motivated by potential applications to partial differential equations, we develop a theory of fine scales of decay rates for operator semigroups. The theory contains, unifies, and extends several notable results in the literature on decay of operator semigroups and yields a number of new ones. Its core is a new operator-theoretical method of deriving rates of decay combining ingredients from functional calculus and complex, real and harmonic analysis. It also leads to several results of independent interest.},
author = {Batty, Charles J. K., Chill, Ralph, Tomilov, Yuri},
journal = {Journal of the European Mathematical Society},
language = {eng},
number = {4},
pages = {853-929},
publisher = {European Mathematical Society Publishing House},
title = {Fine scales of decay of operator semigroups},
url = {http://eudml.org/doc/277532},
volume = {018},
year = {2016},
}

TY - JOUR
AU - Batty, Charles J. K.
AU - Chill, Ralph
AU - Tomilov, Yuri
TI - Fine scales of decay of operator semigroups
JO - Journal of the European Mathematical Society
PY - 2016
PB - European Mathematical Society Publishing House
VL - 018
IS - 4
SP - 853
EP - 929
AB - Motivated by potential applications to partial differential equations, we develop a theory of fine scales of decay rates for operator semigroups. The theory contains, unifies, and extends several notable results in the literature on decay of operator semigroups and yields a number of new ones. Its core is a new operator-theoretical method of deriving rates of decay combining ingredients from functional calculus and complex, real and harmonic analysis. It also leads to several results of independent interest.
LA - eng
UR - http://eudml.org/doc/277532
ER -