The structure of fractional spaces generated by multi-dimensional elliptic difference operator

Advances in Difference Equations

Allaberen Ashyralyev¹  Sema Akturk² 

[1] Department of Elementary Mathematics Education, Fatih University, Istanbul, Turkey;Department of Mathematics, ITTU, Ashgabat, Turkmenistan

关键词: positive operator;    fractional spaces;    Green’s function;    Hölder spaces;    35J25;    47E05;    34B27;   

DOI  :  10.1186/s13662-015-0719-9

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

In the present paper, the positivity of a multi-dimensional difference operator in the half-space is considered. The structure of fractional spaces generated by this operator is investigated. The equivalence of the norms of these fractional spaces and Hölder spaces is proved. In applications, the stability of difference schemes for elliptic differential equations is presented.

【 授权许可】

CC BY