Formulae and equations for finding scattering data from the Dirichlet-to-Neumann map with nonzero background potential

R. G. Novikov

doi:10.1088/0266-5611/21/1/016

Formulae and equations for finding scattering data from the Dirichlet-to-Neumann map with nonzero background potential

R. G. Novikov

Université de Nantes

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Résumé

For the Schrödinger equation at fixed energy with a potential supported in a bounded domain we give formulae and equations for finding scattering data from the Dirichlet-to-Neumann map with nonzero background potential. For the case of zero background potential these results were obtained in (Novikov 1988 Multidimensional inverse spectral problem for the equation -Δψ + (v(x) - Eu(x))ψ = 0 Funkt. Anal. Ego Pril. 22 (4) 11-22).

langue originale	Anglais
Pages (de - à)	257-270
Nombre de pages	14
journal	Inverse Problems
Volume	21
Numéro de publication	1
Les DOIs	https://doi.org/10.1088/0266-5611/21/1/016
état	Publié - 1 janv. 2005
Modification externe	Oui

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10.1088/0266-5611/21/1/016

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title = "Formulae and equations for finding scattering data from the Dirichlet-to-Neumann map with nonzero background potential",

abstract = "For the Schr{\"o}dinger equation at fixed energy with a potential supported in a bounded domain we give formulae and equations for finding scattering data from the Dirichlet-to-Neumann map with nonzero background potential. For the case of zero background potential these results were obtained in (Novikov 1988 Multidimensional inverse spectral problem for the equation -Δψ + (v(x) - Eu(x))ψ = 0 Funkt. Anal. Ego Pril. 22 (4) 11-22).",

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AB - For the Schrödinger equation at fixed energy with a potential supported in a bounded domain we give formulae and equations for finding scattering data from the Dirichlet-to-Neumann map with nonzero background potential. For the case of zero background potential these results were obtained in (Novikov 1988 Multidimensional inverse spectral problem for the equation -Δψ + (v(x) - Eu(x))ψ = 0 Funkt. Anal. Ego Pril. 22 (4) 11-22).

U2 - 10.1088/0266-5611/21/1/016

DO - 10.1088/0266-5611/21/1/016

M3 - Article

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VL - 21

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EP - 270

JO - Inverse Problems

JF - Inverse Problems

IS - 1

ER -

Formulae and equations for finding scattering data from the Dirichlet-to-Neumann map with nonzero background potential

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