Fine scales of decay of operator semigroups
Fine scales of decay of operator semigroups
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DOI：
10.4171/jems/605
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发表时间：
2013-05
期刊：
影响因子：
--
通讯作者：
C. Batty;R. Chill;Y. Tomilov
中科院分区：
文献类型：
--
作者：
C. Batty;R. Chill;Y. Tomilov
受偏微分方程的潜在应用的启发，我们发展了算子半群衰减率的精细尺度理论。该理论包含、统一和推广了算子半群的衰变文献中的几个显著结果，并产生了一些新的结果。它的核心是一个新的运营商理论的方法，从功能演算，复杂的，真实的和谐波分析相结合的衰变率。它还导致了几个独立的利益的结果。
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.