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On the Local Well Posedness of Quasilinear Schrödinger Equations in Arbitrary Space Dimension

✍ Scribed by Markus Poppenberg


Publisher
Elsevier Science
Year
2001
Tongue
English
Weight
247 KB
Volume
172
Category
Article
ISSN
0022-0396

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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