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Remarks on the Gagliardo-Nirenberg Type Inequality in the Besov and the Triebel-Lizorkin Spaces in

✍ Scribed by Hidemitsu Wadade


Publisher
SP Birkhäuser Verlag Boston
Year
2009
Tongue
English
Weight
351 KB
Volume
15
Category
Article
ISSN
1069-5869

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## Abstract We prove local‐in‐time unique existence and a blowup criterion for solutions in the Triebel‐Lizorkin space for the Euler equations of inviscid incompressible fluid flows in ℝ^__n__^, __n__ ≥ 2. As a corollary we obtain global persistence of the initial regularity characterized by the Tr