Inverse Problems for Dirac Operators with Eigenvalue Linearly Dependent to Boundary Condition

2012 ◽  
Vol 4 (4) ◽  
pp. 12-25
Author(s):  
Topsakal
Keyword(s):  
Boundary Condition ◽  
Inverse Problems ◽  
Dirac Operators

scholarly journals Inverse problems and index formulae for Dirac operators

2009 ◽  
Vol 221 (1) ◽  
pp. 170-216 ◽  
Author(s):  
Yaroslav Kurylev ◽  
Matti Lassas
Keyword(s):  
Inverse Problems ◽  
Dirac Operators

On the Hochstadt–Lieberman problem for the Dirac operator with discontinuity

2020 ◽  
Vol 28 (6) ◽  
pp. 849-855
Author(s):  
Chuan-Fu Yang ◽  
Vjacheslav Yurko ◽  
Ran Zhang
Keyword(s):  
Boundary Condition ◽  
Inverse Problems ◽  
Dirac Operator ◽  
Uniqueness Theorem ◽  
Input Data ◽  
Reconstruction Algorithm ◽  
Solvability Conditions ◽  
Discontinuity Conditions

AbstractUsing the input data – the spectrum of the Dirac operator with discontinuity, the potential on the half-interval and one boundary condition as well as discontinuity conditions – this paper presents a uniqueness theorem and the solvability conditions of the potential on the whole interval, and provides a reconstruction algorithm of the solution to this kind of inverse problems.

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