IMAL   13325
INSTITUTO DE MATEMATICA APLICADA DEL LITORAL "DRA. ELEONOR HARBOURE"
Unidad Ejecutora - UE
artículos
Título:
Nonlocal Schrödinger equations in metric measure spaces
Autor/es:
ACTIS MARCELO; AIMAR HUGO; BONGIOANNI BRUNO; GÓMEZ IVANA
Revista:
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS
Editorial:
ACADEMIC PRESS INC ELSEVIER SCIENCE
Referencias:
Lugar: Amsterdam; Año: 2016 vol. 435 p. 425 - 439
ISSN:
0022-247X
Resumen:
In this note we consider the pointwise convergence to the initial data for the solutions of some nonlocal dyadic Schrödinger equations on spaces of homogeneous type. We prove the a.e. convergence when the initial data belongs to a dyadic version of an $L^2$ based Besov space. In particular we prove a Haar wavelet characterization of these dyadic Besov spaces.