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000078935 0247_ $$2doi$$a10.1155/2019/4763450
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000078935 037__ $$aART-2019-111273
000078935 041__ $$aeng
000078935 100__ $$0(orcid)0000-0003-2453-7841$$aAbadias, L.$$uUniversidad de Zaragoza
000078935 245__ $$aQuasigeostrophic Equations for Fractional Powers of Infinitesimal Generators
000078935 260__ $$c2019
000078935 5060_ $$aAccess copy available to the general public$$fUnrestricted
000078935 5203_ $$aIn this paper we treat the following partial differential equation, the quasigeostrophic equation: d / dt + u · grad f = - s - A a f, 0 = a = 1, where (A, D (A)) is the infinitesimal generator of a convolution C 0 -semigroup of positive kernel on L p (R n), with 1 = p < 8. Firstly, we give remarkable pointwise and integral inequalities involving the fractional powers (- A) a for 0 = a = 1. We use these estimates to obtain L p -decayment of solutions of the above quasigeostrophic equation. These results extend the case of fractional derivatives (taking A = ¿, the Laplacian), which has been studied in the literature.
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000078935 540__ $$9info:eu-repo/semantics/openAccess$$aby$$uhttp://creativecommons.org/licenses/by/3.0/es/
000078935 590__ $$a1.896$$b2019
000078935 591__ $$aMATHEMATICS, APPLIED$$b50 / 260 = 0.192$$c2019$$dQ1$$eT1
000078935 591__ $$aMATHEMATICS$$b24 / 323 = 0.074$$c2019$$dQ1$$eT1
000078935 592__ $$a0.455$$b2019
000078935 593__ $$aAnalysis$$c2019$$dQ3
000078935 655_4 $$ainfo:eu-repo/semantics/article$$vinfo:eu-repo/semantics/publishedVersion
000078935 700__ $$0(orcid)0000-0001-9430-343X$$aMiana, P.J.$$uUniversidad de Zaragoza
000078935 7102_ $$12006$$2015$$aUniversidad de Zaragoza$$bDpto. Matemáticas$$cÁrea Análisis Matemático
000078935 773__ $$g2019, 4763450 (2019), [7 pp]$$pj. funct. spaces$$tJournal of Function Spaces$$x2314-8896
000078935 8564_ $$s578793$$uhttps://zaguan.unizar.es/record/78935/files/texto_completo.pdf$$yVersión publicada
000078935 8564_ $$s84264$$uhttps://zaguan.unizar.es/record/78935/files/texto_completo.jpg?subformat=icon$$xicon$$yVersión publicada
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000078935 951__ $$a2023-09-13-10:43:53
000078935 980__ $$aARTICLE