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

Research output: Contribution to journal › Article › peer-review

Abstract

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).

Original language	English
Pages (from-to)	257-270
Number of pages	14
Journal	Inverse Problems
Volume	21
Issue number	1
DOIs	https://doi.org/10.1088/0266-5611/21/1/016
Publication status	Published - 1 Jan 2005
Externally published	Yes

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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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AU - Novikov, R. G.

PY - 2005/1/1

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N2 - 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).

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

AN - SCOPUS:13744250346

SN - 0266-5611

VL - 21

SP - 257

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

Abstract

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