Abstract
The local existence theorem for the Boussinesq equations in the half space R + n + 1 = { x = ( x ˜ , x n ) ∈ R n + 1 ; x ˜ ∈ R n , x n + 1 > 0 } with non-decaying data is shown. To this end, the Stokes operator is shown to generate an analytic semi-group on the Besov spaces of negative order based on L ∞ .
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