Global well-posedness for the critical 2D dissipative quasi-geostrophic equation

We give an elementary proof of the global well-posedness for the critical 2D dissipative quasi-geostrophic equation. The argument is based on a non-local maximum principle involving appropriate moduli of continuity. [PUBLICATION ABSTRACT]

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Veröffentlicht in:Inventiones mathematicae 2007-03, Vol.167 (3), p.445-453
Hauptverfasser: Kiselev, A., Nazarov, F., Volberg, A.
Format: Artikel
Sprache:eng
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Zusammenfassung:We give an elementary proof of the global well-posedness for the critical 2D dissipative quasi-geostrophic equation. The argument is based on a non-local maximum principle involving appropriate moduli of continuity. [PUBLICATION ABSTRACT]
ISSN:0020-9910
1432-1297
DOI:10.1007/s00222-006-0020-3