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.

引用

页码：223 / 236

页数：14

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