We give a proof of Lp-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.
Lp-bounds for quasi-geostrophic equations via functional analysis / R. de La Llave, E. Valdinoci. - In: JOURNAL OF MATHEMATICAL PHYSICS. - ISSN 0022-2488. - 52:8(2011), pp. 083101.1-083101.12.
Lp-bounds for quasi-geostrophic equations via functional analysis
E. Valdinoci
2011
Abstract
We give a proof of Lp-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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