Positivity of One-Dimensional Operator 2mth Order on the Half-Line and its Applications. (3rd October 2017)

• Record Type: Journal Article
• Authors: Ashyralyev, Allaberen; Akturk, Sema
• Is Part Of: Numerical functional analysis and optimization. Volume 38:Number 10(2017)
• Page Start: 1360
• Page End: 1372
• Publication Date: 2017-10-03
• Subjects: Fractional spaces -- Green's function -- Hölder spaces -- positive operator; 35J25 -- 47E05 -- 34B27; Functional analysis -- Periodicals; Numerical analysis -- Periodicals; Mathematical optimization -- Periodicals; Numerical Analysis, Computer-Assisted; 515.705
• DOI: 10.1080/01630563.2017.1317001
• Languages: English
• ISSNs: 0163-0563

Abstract

ABSTRACT: In the present paper, the positivity of a multidimensional differential operator 2 m th order in the half-space is established. The structure of fractional spaces generated by this operator is investigated. The equivalence of the norms of these fractional spaces in Hölder spaces is proved. The applications of the well posedness of boundary value problems for elliptic equations in a Hölder space is provided.