Fine scales of decay of operator semigroups
Functional Analysis
2016-03-15 v2 Analysis of PDEs
Dynamical Systems
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.
Keywords
Cite
@article{arxiv.1305.5365,
title = {Fine scales of decay of operator semigroups},
author = {Charles Batty and Ralph Chill and Yuri Tomilov},
journal= {arXiv preprint arXiv:1305.5365},
year = {2016}
}
Comments
Version 2 includes numerous minor corrections, and is the authors' final version. The pape will be published in the Journal of the European Mathematical Society in April 2016