IMAL 13325
INSTITUTO DE MATEMATICA APLICADA DEL LITORAL "DRA. ELEONOR HARBOURE"
Unidad Ejecutora - UE
artículos
Título:
Dyadic non local diffusion. The pointwise convergence to the initial data.
Autor/es:
ACTIS, MARCELO; AIMAR, HUGO
Revista:
Preprints del IMAL
Editorial:
Publicaciones del IMAL
Referencias:
Lugar: Santa Fe; Año: 2013 p. 1 - 10
ISSN:
2314-0992
Resumen:
In this paper we solve the initial value problem for the diffusion induced by a dyadic fractional derivative in R^+. The main result concerns the pointwise estimate of the maximal operator of the diffusion by the Hardy-Littlewood dyadic maximal operator. As a consequence we obtain the pointwise convergence for the initial data in Lebesgue spaces.
