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We prove the continuous dependence of the solution maps for the Euler equations in the (critical) Triebel–Lizorkin spaces, which was not shown in the previous works [ 6 , 7… Click to show full abstract
We prove the continuous dependence of the solution maps for the Euler equations in the (critical) Triebel–Lizorkin spaces, which was not shown in the previous works [ 6 , 7 , 9 ]. The proof relies on the classical Bona–Smith method as [ 12 ], where similar result was obtained in critical Besov spaces $$B^1_{\infty ,1}$$ B ∞ , 1 1 .
Keywords:
triebel lizorkin;
posedness euler;
remarks well;
lizorkin spaces;
well posedness;
euler equations
Journal Title: Journal of Fourier Analysis and Applications
Year Published: 2019
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Journal Title: Journal of Fourier Analysis and Applications
Year Published: 2019
Link to full text (if available)
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recommendations!