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

Using operator-valued Ċα-Fourier multiplier results on vector-valued Hölder continuous function spaces, we completely characterize the Cα-well-posedness of the second order degenerate differential equations (Mu)″(t)=Au(t)+f(t) (t∈R) and (Mu′)′(t)=Au(t)+f(t) (t∈R), where A,M are closed operators on...

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Bibliographic Details

Published in:	Expositiones mathematicae Vol. 34; no. 2; pp. 223 - 236
Main Authors:	Bu, Shangquan, Cai, Gang
Format:	Journal Article
Language:	English
Published:	Elsevier GmbH 2016
Subjects:	[formula omitted]-Fourier multiplier [formula omitted]-well-posedness Degenerate differential equations Hölder continuous function spaces secondary Ċα-Fourier multiplier Cα-well-posedness Degenerate differential equations Hölder continuous function spaces primary
ISSN:	0723-0869, 1878-0792
Online Access:	Get full text
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