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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Bibliographic Details
Published in:	Canadian mathematical bulletin Vol. 62; no. 4; pp. 715 - 726
Main Authors:	Bu, Shangquan, Cai, Gang
Format:	Journal Article
Language:	English
Published:	Canada Canadian Mathematical Society 01.12.2019 Cambridge University Press
Subjects:	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
Online Access:	Get full text
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