Application of spectral mapping method to Dirac operator
Author(s) -
Rauf Amirov,
Merve Arslantaş
Publication year - 2020
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-1912-101
Subject(s) - mathematics , uniqueness , banach space , inverse problem , dirac operator , dirac (video compression format) , mathematical analysis , operator (biology) , inverse , space (punctuation) , spectrum (functional analysis) , computer science , biochemistry , chemistry , physics , geometry , repressor , quantum mechanics , nuclear physics , transcription factor , neutrino , gene , operating system
In the present study, theorems related to the uniqueness of the solution of inverse problems for Dirac equations system are proved by applying spectral mapping method. With the help of this method, the inverse problem is reduced to the so-called main equation, which corresponds to the problem of existence and uniqueness of the solution of the system of linear equations in the Banach space.
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