INVESTIGADORES
AIMAR Hugo Alejandro A.
artículos
Título:
Dyadic nonlocal diffusion in metric measure spaces
Autor/es:
ACTIS MARCELO; AIMAR HUGO
Revista:
Fractional Calculus and Applied Analysis
Editorial:
Walter de Gruyter
Referencias:
Lugar: Sofia; Año: 2015 vol. 18 p. 762 - 788
Resumen:
In this paper we solve the initial value problem for the nonlocal diffusiongenerated by the space fractional derivative induced by the dyadic tilingsof M. Christ on a space of homogeneous type. We consider the problems ofpointwise and norm convergence to the initial data. The main tool is theuse of the Haar system induced by a dyadic tiling, which is actually the setof eigenfunctions for the fractional derivative operator.
