Preview
Unable to display preview. Download preview PDF.
References
Agmon, S.: Spectral properties of Schrödinger operators and scattering theory. Ann. Scuola Norm. Sup. Pisa 2 (1975) 151–218.
Chadan, K.,Sabatier, P.: Inverse problems in Quantum Scattering Theory. Springer, New York, 1989.
Henkin, G. M., Novikov, R. G.: ∂-equation in the multi-dimensional inverse scattering problem. Usp. Mat. Nauk 42 (1987) 93–152.
Novikov, R. G.: Multidimensional inverse spectral problems for the equation −Δψ + (η(ξ)-Eu(ξ))ψ) = 0. Funkt. Analiz i Ego Prilozheniya, 22 (4) (1988), 11–22; Translation in Funct. Anal. and its Appl. 22 (4) (1988) 263–272.
Ramm, A. G.: Recovery of the potential from fixed-energy scattering data, Inverse Probllems 4 (1988) 877–886.
Ramm, A. G.: Completeness of the products of solutions to PDE and inverse problems. Inverse Problems 5 (1990) 641–664.
Ramm, A. G.: Stability estimates in inverse scattering. Acta Appl. Math. 28 (1) (1992) 1–42.
Ramm, A. G.: Multidimensional inverse problems and completeness of the products of solutions to PDE. J. Math. Anal. Appl. 136 (1) (1988) 211–253; 136 (1988) 568–574.
Ramm, A. G.: Multidimensional Inverse Scattering Problems, Longman, New York, 1992 (Expanded Russian edition to appear in Mir, Moscow, 1993)
Stefanov, P.: A uniqueness result for the inverse back-scattering problem. Inverse Problems 6 (1990) 1055–1064.
Sylvester, J., Uhlmann, G.: Global uniqueness theorem for an inverse boundary value problem. Anna Math. 125 (1987) 153–169.
Author information
Authors and Affiliations
Editor information
Rights and permissions
Copyright information
© 1993 Springer-Verlag
About this paper
Cite this paper
Ramm, A.G., Stefanov, P. (1993). Inverse scattering at fixed energy for exponentially decreasing potentials. In: Päivärinta, L., Somersalo, E. (eds) Inverse Problems in Mathematical Physics. Lecture Notes in Physics, vol 422. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-57195-7_22
Download citation
DOI: https://doi.org/10.1007/3-540-57195-7_22
Published:
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-57195-7
Online ISBN: 978-3-540-47947-5
eBook Packages: Springer Book Archive