Lp-BOUNDS FOR QUASI-GEOSTROPHIC EQUATIONS VIA FUNCTIONAL ANALYSIS

نویسندگان

  • RAFAEL DE LA LLAVE
  • ENRICO VALDINOCI
چکیده

We give a proof of L-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. 2010 Mathematics Subject Classification: 47D06, 47F05, 35S10, 35Q99.

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تاریخ انتشار 2011