Determination of Dirac operator with eigenvalue-dependent boundary and jump conditions

作者：Yang Chuan Fu^*; Yuan Gui Lin

来源：APPLICABLE ANALYSIS, 2015, 94(7): 1460-1478.

DOI：10.1080/00036811.2014.935349

• inverse problem
• eigenparameter boundary condition
• missing eigenvalue
• jump condition
• Dirac operator
• 34B24
• 34L05
• 34A55

Dirac operator with eigenvalue-dependent boundary and jump conditions is studied. Uniqueness theorems of the inverse problems from either Weyl function or the spectral data (the sets of eigenvalues and norming constants except for one eigenvalue and corresponding norming constant; two sets of different eigenvalues except for two eigenvalues) are proved. Finally, we investigate two applications of these theorems and obtain analogues of a theorem of Hochstadt-Lieberman and a theorem of Mochizuki-Trooshin.

• 出版日期2015-7-3
• 单位南京理工大学