Maximal Regularity of Second Order Delay Equations in Banach Spaces

被引：5
|
作者：
Bu, Shang Quan [1 ]
机构：
[1] Tsinghua Univ, Dept Math Sci, Beijing 100084, Peoples R China
来源：
ACTA MATHEMATICA SINICA-ENGLISH SERIES | 2009年 / 25卷 / 01期
关键词：
maximal regularity; delay equations; Holder continuous functions; C-alpha-multiplier; FOURIER MULTIPLIERS;
D O I：
10.1007/s10114-007-1030-9
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Using known C-alpha-multiplier result, we give necessary and sufficient conditions for the second order delay equations: u ''(t) = Au(t) + Fu(t) + Gu'(t) + f(t), t epsilon R to have maximal regularity in Holder continuous function spaces C-alpha(R, X), where X is a Banach space, A is a closed operator in X, F, G epsilon L(C([-r, 0], X), X) are delay operators for some fixed r > 0.
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页码：21 / 28
页数：8
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