Lp-bounds for quasi-geostrophic equations via functional analysis

Rafael De La Llave; Enrico Valdinoci

doi:10.1063/1.3621828

L^p-bounds for quasi-geostrophic equations via functional analysis

Rafael De La Llave, Enrico Valdinoci

Research output: Contribution to journal › Article

1 Citation (Scopus)

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.

Original language	English
Article number	083101
Journal	Journal of Mathematical Physics
Volume	52
Issue number	8
DOIs	https://doi.org/10.1063/1.3621828
Publication status	Published - 4 Aug 2011
Externally published	Yes

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title = "Lp-bounds for quasi-geostrophic equations via functional analysis",

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Lp-bounds for quasi-geostrophic equations via functional analysis

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L^p-bounds for quasi-geostrophic equations via functional analysis