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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Vydané v:	Quaestiones mathematicae Ročník 42; číslo 10; s. 1379 - 1391
Hlavní autori:	Bu, Shangquan, Cai, Gang
Médium:	Journal Article
Jazyk:	English
Vydavateľské údaje:	Grahamstown Taylor & Francis 26.11.2019 Taylor & Francis Ltd
Predmet:	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
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