Quasigeostrophic Equations for Fractional Powers of Infinitesimal Generators

Abadias, L. (Universidad de Zaragoza) ; Miana, P.J. (Universidad de Zaragoza)

Resumen: In 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.

Idioma: Inglés

DOI: 10.1155/2019/4763450

Año: 2019

Publicado en: Journal of Function Spaces 2019, 4763450 (2019), [7 pp]
ISSN: 2314-8896

Factor impacto JCR: 1.896 (2019)

Categ. JCR: MATHEMATICS, APPLIED rank: 50 / 260 = 0.192 (2019) - Q1 - T1
Categ. JCR: MATHEMATICS rank: 24 / 323 = 0.074 (2019) - Q1 - T1

Factor impacto SCIMAGO: 0.455 - Analysis (Q3)

Financiación: info:eu-repo/grantAgreement/ES/DGA/E26-17R
Financiación: info:eu-repo/grantAgreement/ES/MINECO/MTM2016-77710-P

Tipo y forma: Article (Published version)

Área (Departamento): Área Análisis Matemático (Dpto. Matemáticas)