Well-posedness of Third Order Differential Equations in Hölder Continuous Function Spaces

In this paper, by using operator-valued ${\dot{C}}^{\unicode[STIX]{x1D6FC}}$ -Fourier multiplier results on vector-valued Hölder continuous function spaces, we give a characterization of the $C^{\unicode[STIX]{x1D6FC}}$ -well-posedness for the third order differential equations $au^{\prime \prime \p...

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Vydané v:	Canadian mathematical bulletin Ročník 62; číslo 4; s. 715 - 726
Hlavní autori:	Bu, Shangquan, Cai, Gang
Médium:	Journal Article
Jazyk:	English
Vydavateľské údaje:	Canada Canadian Mathematical Society 01.12.2019 Cambridge University Press
Predmet:	Banach spaces Continuity (mathematics) Differential equations Function space Linear operators Mathematical analysis Operators (mathematics) Well posed problems 34K30 47D06 34G10 Ċ -Fourier multiplier degenerate differential equation 47A10 C -well-posedness Hölder continuous function space
ISSN:	0008-4395, 1496-4287
On-line prístup:	Získať plný text
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