Nonlocal Schrödinger equations in metric measure spaces

Actis, Marcelo Jesús; Aimar, Hugo Alejandro; Bongioanni, Bruno; Gomez, Ivana Daniela

Artículos de revistas

Fecha

2015-10

Registro en:

Gomez, Ivana Daniela; Bongioanni, Bruno; Aimar, Hugo Alejandro; Actis, Marcelo Jesús; Nonlocal Schrödinger equations in metric measure spaces; Elsevier; Journal of Mathematical Analysis and Applications; 435; 1; 10-2015; 425-439

0022-247X

http://hdl.handle.net/11336/31883

CONICET Digital

CONICET

http://repositorioslatinoamericanos.uchile.cl/handle/2250/1886111

Autor

Actis, Marcelo Jesús

Aimar, Hugo Alejandro

Bongioanni, Bruno

Gomez, Ivana Daniela

Institución

Consejo Nacional de Investigaciones Científicas y Tecnológicas (Argentina)

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 L2 based Besov space.

Materias

Nonlocal Schrödinger equation

Besov spaces

Haar basis

Fractional derivatives

Spaces of homogeneous type

Mostrar el registro completo del ítem