Well-posedness of second order degenerate differential equations in Holder continuous function spaces

被引：8
|
作者：
Bu, Shangquan [1 ]
Cai, Gang [2 ]
机构：
[1] Tsinghua Univ, Dept Math Sci, Beijing 100084, Peoples R China
[2] Chongqing Normal Univ, Coll Math Sci, Chongqing 401331, Peoples R China
来源：
EXPOSITIONES MATHEMATICAE | 2016年 / 34卷 / 02期
关键词：
C-alpha-well-posedness; Degenerate differential equations; C-alpha-Fourier multiplier; Holder continuous function spaces;
D O I：
10.1016/j.exmath.2015.07.003
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Using operator-valued C-alpha-Fourier multiplier results on vector-valued Holder continuous function spaces, we completely characterize the C-alpha-well-posedness of the second order degenerate differential equations (Mu)''(t) = Au(t) + f(t) (t is an element of R) and (Mu')'(t) = Au(t) + f(t) (t is an element of R), where A, M are closed operators on a Banach space X and 0 < alpha < 1. (C) 2015 Elsevier GmbH. All rights reserved.
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页码：223 / 236
页数：14
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