Rafael de la Llave, Enrico Valdinoci
$L^p$-bounds for quasi-geostrophic equations via functional analysis
(449K, pdf)

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.