【摘 要】
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We study the initial value problem for the 2D critical dissipative quasi-geostrophic equation. We prove the global existence for small data in the scale invaria
【机 构】
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School of Mathematical Sciences
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We study the initial value problem for the 2D critical dissipative quasi-geostrophic equation. We prove the global existence for small data in the scale invariant Besov spaces B2/pp,1,1≤p≤∞.In particular, for p = ∞, our result does not impose any regularity on the initial data. Our proofs are based on an exponential decay estimate of the semigroup e-tκ(-Δ)α and the use of space-time Besov spaces.
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