L p -bounds for quasi-geostrophic equations via functional analysis | Zendy

Rafael de la Llave | Zendy; Enrico Valdinoci | Zendy

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

Author(s) -

Rafael de la Llave,

Enrico Valdinoci

Publication year - 2011

Publication title -

journal of mathematical physics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.708

H-Index - 119

eISSN - 1089-7658

pISSN - 0022-2488

DOI - 10.1063/1.3621828

Subject(s) - subordination (linguistics) , mathematics , functional equation , product (mathematics) , functional analysis , operator (biology) , mathematical analysis , partial differential equation , philosophy , linguistics , biochemistry , geometry , chemistry , repressor , transcription factor , gene

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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