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

By using operator-valued Ċ α -Fourier multiplier results on vector-valued Hölder continuous function spaces C α (ℝ; X) proved by Arendt, Batty and Bu, we obtain a necessary and sufficient condition for the C α -well-posedness for the following second order differential equations: u״ (t) = Au(t) + Bu...

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Bibliographic Details

Published in:	Quaestiones mathematicae Vol. 42; no. 10; pp. 1379 - 1391
Main Authors:	Bu, Shangquan, Cai, Gang
Format:	Journal Article
Language:	English
Published:	Grahamstown Taylor & Francis 26.11.2019 Taylor & Francis Ltd
Subjects:	Banach spaces Continuity (mathematics) Differential equations Fourier multiplier Function space Hölder continuous function spaces Linear operators Mathematical analysis Operators (mathematics) second order differential equations Well posed problems well-posedness
ISSN:	1607-3606, 1727-933X
Online Access:	Get full text
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