Communications of the Korean Mathematical Society (대한수학회논문집)

Korean Mathematical Society (대한수학회)
권호 표지

INVERSE PROBLEM FOR INTERIOR SPECTRAL DATA OF THE DIRAC OPERATOR

  • Mochizuki, Kiyoshi (Department of Mathematics, Tokyo Metropolitan University) ;
  • Trooshin, Igor (Precision Mechanics and Control Institute of Russian Academy of Sciences)
  • Published : 2001.07.01
Download PDF
⟨ Previous Next ⟩

Abstract

In this paper the inverse problems for the Dirac Operator are studied. A set of values of eigenfunctions in some internal point and spectrum are taken as a data. Uniqueness theorems are obtained. The approach that was used in the investigation of inverse problems for interior spectral data of the Sturm-Liouville operator is employed.

Keywords

References

  1. Izv. Nats. Alkad. Nauk Armenii mat. v.29 no.2 Isospectral Dirac operators T. N. Arutyunyan
  2. Acta Math. v.78 Eine Umkehrung der Sturm-Liouvilleschen Eigenwertaufgabe;Bestimmung der Differential gleichung durch die Eigenvert G. Borg
  3. Dokl. Akad. Nauk SSSR 167 The Inverse Problem for a Dirac System M. G. Gasymov;B. M. Levitan
  4. SIAM J. Appl. Math. v.34 An Inverse Sturm-Liouville Problem with Mixed Given Data H. Hochstadt;B. Lieberman
  5. Sturm-Liouville and Dirac Operators B. M. Levitan;I. S.Salgsjan
  6. Trans. Moscow Math. Soc. v.60 Uniqueness Questions in Inverse Problems for Systems of differential Equatation on a Finite Interval M. M. Malamud
  7. Dokl. Akad. Nauk SSSR 72 On certain questions in the theory of differential operators of the second order V. A. Marchenko
  8. I, Trudy Moscov. Mat. Obsc. v.1 Some questions in the theory of one-dimensional linear differential operators of the second order V. A. Marchenko
  9. Ibaraki University v.3 Inverse Problem for Interior Spectral Data of Sturm-Liouville operator K. Mochizuki;I. Trooshin
  10. Inverse Problem for Interior Spectral Data of Sturm-Liouville operator K. Mochizuki;I. Trooshin
  11. Operator theory and applications Property C for ODE and applications to inverse problems A. G. Ramm