Finding potential from the fixed-energy scattering data via D-N map

Journal of Inverse and Ill-Posed Problems

Volumn 4, Issue 2, 1996, Pages 145-152

  Ramm, A G ^a  

^a UNIVERSIDAD COMPLUTENSE DE MADRID   (Spain)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0005430966     PISSN: 09280219     EISSN: None     Source Type: Journal    
DOI: 10.1515/jiip.1996.4.2.145     Document Type: Article

References (9)

1. A. G. Ramm, Scattering by Obstacles. D. Reidel, Dordrect, 1986.
2. A. G. Ramm, Completeness of the products of solutions to PDE and uniqueness theorems in inverse scattering. Inverse Problems (1987) 3, L77-L82.
3. A. G. Ramm, Recovery of the potential from fixed-energy scattering data. Inverse Problems (1988) 4, 877–886.
4. A. G. Ramm, Stability of the numerical method for solving 3D inverse scattering problem with fixed-energy data. J. für die Reine und Angew. Math. (1991) 414, 1–21.
5. A. G. Ramm, Stability of the inversion of 3D fixed-frequency data. J. Math. Anal Appl. (1992) 169, No. 2, 329–349.
6. A. G. Ramm, Stability estimates in inverse scattering. Acta Appl. Math. (1992) 28, No. 1, 1–42.
7. A. G. Ramm, Multidimensional Inverse Scattering Problems. Longman-Wiley, New York, 1992. (Expanded Russian edition: Mir, Moscow, 1994.)
8. A. G. Ramm, A formula for inversion of boundary data. J. of Inverse and Ill-Posed Problems (1995) 3, No. 5, 411–415.
9. J. Sylvester and G. Uhlmann, The D-N map and applications. In: Inverse Problems for PDE, SIAM, Philadelphia, 1990, pp. 99–139.