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A new Bernstein's inequality and the 2D dissipative quasi-geostrophic equation - MaRDI portal

A new Bernstein's inequality and the 2D dissipative quasi-geostrophic equation (Q2385025)

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A new Bernstein's inequality and the 2D dissipative quasi-geostrophic equation
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    A new Bernstein's inequality and the 2D dissipative quasi-geostrophic equation (English)
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    11 October 2007
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    A new Bernstein's inequality is proven and applied to the prove of global well-posedness of the two-dimensional quasi-geostrophic equation for small initial data in the critical Besov space. Local well-posedness can be shown in case of large initial data.
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    Bernstein inequality
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    quasi-geostrophic equation
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    Besov space
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