11-64 Rafael de la Llave, Enrico Valdinoci

$L^p$-bounds for quasi-geostrophic equations via functional analysis (449K, pdf) Apr 21, 11

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Abstract. We give a proof of $L^p$-bounds for the quasi-geostrophic equation and other non-local equations. The proof uses mainly tools from functional analysis, notably the product formulas (also known as ``operator splitting methods'') and the Bochner-Pollard subordination identities, hence it could be applicable to other equations.

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