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A New Approach for Unique Restoration of a Time-Dependent Matrix Potential in a Hyperbolic Scattering Problem on the Semi-Axis.
- Source :
-
Azerbaijan Journal of Mathematics . Jan2019, Vol. 9 Issue 1, p156-170. 15p. - Publication Year :
- 2019
-
Abstract
- This paper considers the inverse scattering problem on the semi-axis for the matrix hyperbolic system with a special structure of matrix potential. The possible relationship between the matrix scattering operators for the first order systems with unshifted and space-shifted potentials is given. By using this relationship, the new approach for unique restoration of this potential from the matrix scattering operators on the semi-axis is given. [ABSTRACT FROM AUTHOR]
- Subjects :
- *INVERSE scattering transform
*FUNCTIONALS
*PARTIAL differential equations
Subjects
Details
- Language :
- English
- ISSN :
- 22186816
- Volume :
- 9
- Issue :
- 1
- Database :
- Academic Search Index
- Journal :
- Azerbaijan Journal of Mathematics
- Publication Type :
- Academic Journal
- Accession number :
- 134314248