Nonlocal Schrödinger equations in metric measure spaces

Abstract

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.

15 pages. Added references. At the end of the paper we write the result in the Sierpinski triangle

References in corpus (3)

• From the long jump random walk to the fractional Laplacian
• Dyadic harmonic analysis beyond doubling measures
• On dyadic nonlocal Schrödinger equations with Besov initial data

Cited by in corpus (1)

• Fractional uncertainty