Nonlocal Schrodinger equations in metric measure spaces

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:435

Article

Actis, Marcelo¹  Aimar, Hugo¹  Bongioanni, Bruno¹  Gomez, Ivana¹ 

[1] OCT CONICET Santa Fe, UNL CONICET, Inst Matemat Aplicada Litoral, Paraje El Pozo, Santa Fe, Argentina

关键词: Nonlocal Schrodinger equation;    Besov spaces;    Haar basis;    Fractional derivatives;    Spaces of homogeneous type;   

DOI  :  10.1016/j.jmaa.2015.10.031

来源: Elsevier

【 摘 要 】

In this note we consider the pointwise convergence to the initial data for the solutions of some nonlocal dyadic Schrodinger 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. (C) 2015 Elsevier Inc. All rights reserved.

【 授权许可】

Free