Singular Dirac systems in the Sobolev space
Author(s) -
Ekin Uğurlu
Publication year - 2017
Publication title -
turkish journal of mathematics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.454
H-Index - 27
eISSN - 1303-6149
pISSN - 1300-0098
DOI - 10.3906/mat-1606-70
Subject(s) - sobolev space , mathematics , space (punctuation) , dirac (video compression format) , sobolev spaces for planar domains , singular point of a curve , point (geometry) , sobolev inequality , pure mathematics , mathematical analysis , dirac measure , interpolation space , dirac algebra , mathematical physics , dirac spinor , dirac equation , functional analysis , physics , quantum mechanics , geometry , computer science , operating system , chemistry , biochemistry , neutrino , gene
In this paper we construct Weyl's theory for the singular left-definite Dirac systems. In particular, we prove that there exists at least one solution of the system of equations that lies in the Sobolev space. Moreover, we describe the behavior of the solution belonging to the Sobolev space around the singular point.
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