Uniqueness of the multi-dimensional inverse scattering problem for time dependent potentials

Plamen D. Stefanov

doi:10.1007/bf01215158

Uniqueness of the multi-dimensional inverse scattering problem for time dependent potentials

Mathematische Zeitschrift ◽

10.1007/bf01215158 ◽

1989 ◽

Vol 201 (4) ◽

pp. 541-559 ◽

Cited By ~ 35

Author(s):

Plamen D. Stefanov

Keyword(s):

Inverse Scattering ◽

Scattering Problem ◽

Inverse Scattering Problem ◽

Time Dependent

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Recent developments on the time-dependent approach to the three dimensional inverse scattering problem

Boletim da Sociedade Brasileira de Matemática ◽

10.1007/bf02584720 ◽

1973 ◽

Vol 4 (2) ◽

pp. 157-165 ◽

Cited By ~ 1

Author(s):

Gustavo Perla Menzala

Keyword(s):

Inverse Scattering ◽

Scattering Problem ◽

Three Dimensional ◽

Inverse Scattering Problem ◽

Time Dependent ◽

Recent Developments

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Chapter VI Inverse Scattering Problem for Time-Dependent Potentials

Scattering Theory for Hyperbolic Operators - Studies in Mathematics and Its Applications ◽

10.1016/s0168-2024(08)70094-8 ◽

1989 ◽

pp. 225-246

Keyword(s):

Inverse Scattering ◽

Scattering Problem ◽

Inverse Scattering Problem ◽

Time Dependent

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Inverse scattering problem for the wave equation with time-dependent potential

Journal of Mathematical Analysis and Applications ◽

10.1016/0022-247x(89)90069-3 ◽

1989 ◽

Vol 140 (2) ◽

pp. 351-362 ◽

Cited By ~ 6

Author(s):

P.D Stefanov

Keyword(s):

Wave Equation ◽

Inverse Scattering ◽

Scattering Problem ◽

Inverse Scattering Problem ◽

Time Dependent ◽

Dependent Potential

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Uniqueness of the three-dimensional inverse scattering problem for time-dependent potentials

Inverse Problems ◽

10.1088/0266-5611/5/1/003 ◽

1989 ◽

Vol 5 (1) ◽

pp. L11-L14 ◽

Cited By ~ 1

Author(s):

P D Stefanov

Keyword(s):

Inverse Scattering ◽

Scattering Problem ◽

Three Dimensional ◽

Inverse Scattering Problem ◽

Time Dependent

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Time dependent approach to the inverse scattering problem for wave equations with time dependent coefficients

Applicable Analysis ◽

10.1080/00036818808839711 ◽

1988 ◽

Vol 26 (3) ◽

pp. 223-254 ◽

Cited By ~ 8

Author(s):

J.A. Ferreira ◽

G. Perla Menzal

Keyword(s):

Inverse Scattering ◽

Wave Equations ◽

Scattering Problem ◽

Inverse Scattering Problem ◽

Time Dependent

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Inverse scattering problem for time dependent Hartree-Fock equations in the three-body case

Journal of Mathematical Physics ◽

10.1063/1.2732171 ◽

2007 ◽

Vol 48 (5) ◽

pp. 053510 ◽

Cited By ~ 3

Author(s):

Michiyuki Watanabe

Keyword(s):

Inverse Scattering ◽

Scattering Problem ◽

Inverse Scattering Problem ◽

Time Dependent ◽

Hartree Fock ◽

Three Body ◽

Body Case

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An inverse scattering problem for the time-dependent Maxwell equations: nonlinear optimization and model-order reduction

Numerical Linear Algebra with Applications ◽

10.1002/nla.1873 ◽

2013 ◽

Vol 20 (4) ◽

pp. 689-711 ◽

Cited By ~ 4

Author(s):

R. Mancini ◽

S. Volkwein

Keyword(s):

Nonlinear Optimization ◽

Inverse Scattering ◽

Model Order Reduction ◽

Maxwell Equations ◽

Scattering Problem ◽

Inverse Scattering Problem ◽

Order Reduction ◽

Time Dependent ◽

Model Order

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An inverse scattering problem for Dirac equations with time-dependent electromagnetic potentials

Publications of the Research Institute for Mathematical Sciences ◽

10.2977/prims/1195144630 ◽

1998 ◽

Vol 34 (4) ◽

pp. 355-381 ◽

Cited By ~ 6

Author(s):

Hiroshi T. Ito

Keyword(s):

Inverse Scattering ◽

Scattering Problem ◽

Inverse Scattering Problem ◽

Time Dependent ◽

Dirac Equations ◽

Electromagnetic Potentials

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Newton-Kantorovich method for three-dimensional potential inverse scattering problem and stability of the hyperbolic Cauchy problem with time-dependent data

Inverse Problems ◽

10.1088/0266-5611/7/4/007 ◽

1991 ◽

Vol 7 (4) ◽

pp. 577-596 ◽

Cited By ~ 65

Author(s):

M V Klibanov ◽

J Malinsky

Keyword(s):

Cauchy Problem ◽

Inverse Scattering ◽

Scattering Problem ◽

Three Dimensional ◽

Inverse Scattering Problem ◽

Time Dependent ◽

Dependent Data ◽

Kantorovich Method

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EXPLICIT SOLUTION OF 3-D PHASELESS INVERSE SCATTERING PROBLEM FOR THE SCHRODINGER ̈ EQUATION: THE PLANE WAVE CASE

Eurasian Journal of Mathematical and Computer Applications ◽

10.32523/2306-6172-2015-3-1-48-63 ◽

2015 ◽

Vol 3 (1) ◽

pp. 48-63 ◽

Cited By ~ 1

Author(s):

M.V. Klibanov ◽

V.G. Romanov

Keyword(s):

Schrödinger Equation ◽

Plane Wave ◽

Inverse Scattering ◽

Explicit Solution ◽

Schrodinger Equation ◽

Scattering Problem ◽

Inverse Scattering Problem

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