Nonlocal Schr\"odinger equations in metric measure spaces
Analysis of PDEs
2017-02-10 v2
Abstract
In this note we consider the pointwise convergence to the initial data for the solutions of some nonlocal dyadic Schr\"odinger equations on spaces of homogeneous type. We prove the a.e. convergence when the initial data belongs to a dyadic version of an based Besov space.
Keywords
Cite
@article{arxiv.1505.05754,
title = {Nonlocal Schr\"odinger equations in metric measure spaces},
author = {Marcelo Actis and Hugo Aimar and Bruno Bongioanni and Ivana Gómez},
journal= {arXiv preprint arXiv:1505.05754},
year = {2017}
}
Comments
15 pages. Added references. At the end of the paper we write the result in the Sierpinski triangle