On sharpness of the local Kato-smoothing property for dispersive wave equations

On sharpness of the local Kato-smoothing property for dispersive wave equations

enjoy the local smoothing property where m is the order of the pseudo-differential operator P(D). This property, now called local Kato-smoothing, was first discovered by Kato for the KdV equation and implicitly shown later by Sj]]>öö>

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Veröffentlicht in:Proceedings of the American Mathematical Society 2017-02, Vol.145 (2), p.653-664
Hauptverfasser: SUN, SHU-MING, TRÉLAT, EMMANUEL, ZHANG, BING-YU, ZHONG, NING
Format: Artikel
Sprache:eng
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Zusammenfassung:enjoy the local smoothing property where m is the order of the pseudo-differential operator P(D). This property, now called local Kato-smoothing, was first discovered by Kato for the KdV equation and implicitly shown later by Sj]]>öö>
ISSN:0002-9939
1088-6826
DOI:10.1090/proc/13286