Singular Dirac systems in the Sobolev space

Authors: EKİN UĞURLU

Abstract: 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.

Keywords: Dirac systems, left-definite operators, Weyl theory

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