Fine scales of decay of operator semigroups
Journal of the European Mathematical Society, Tome 18 (2016) no. 4, pp. 853-929
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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.
@article{JEMS_2016_18_4_a5,
author = {Charles J.K. Batty and Ralph Chill and Yuri Tomilov},
title = {Fine scales of decay of operator semigroups},
journal = {Journal of the European Mathematical Society},
pages = {853--929},
publisher = {mathdoc},
volume = {18},
number = {4},
year = {2016},
doi = {10.4171/jems/605},
url = {http://geodesic.mathdoc.fr/articles/10.4171/jems/605/}
}
TY - JOUR AU - Charles J.K. Batty AU - Ralph Chill AU - Yuri Tomilov TI - Fine scales of decay of operator semigroups JO - Journal of the European Mathematical Society PY - 2016 SP - 853 EP - 929 VL - 18 IS - 4 PB - mathdoc UR - http://geodesic.mathdoc.fr/articles/10.4171/jems/605/ DO - 10.4171/jems/605 ID - JEMS_2016_18_4_a5 ER -
%0 Journal Article %A Charles J.K. Batty %A Ralph Chill %A Yuri Tomilov %T Fine scales of decay of operator semigroups %J Journal of the European Mathematical Society %D 2016 %P 853-929 %V 18 %N 4 %I mathdoc %U http://geodesic.mathdoc.fr/articles/10.4171/jems/605/ %R 10.4171/jems/605 %F JEMS_2016_18_4_a5
Charles J.K. Batty; Ralph Chill; Yuri Tomilov. Fine scales of decay of operator semigroups. Journal of the European Mathematical Society, Tome 18 (2016) no. 4, pp. 853-929. doi: 10.4171/jems/605
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