On inverse scattering at fixed energy for the multidimensional Newton equation in a non-compactly supported field (Q2869868)

From MaRDI portal





scientific article; zbMATH DE number 6243131
Language Label Description Also known as
English
On inverse scattering at fixed energy for the multidimensional Newton equation in a non-compactly supported field
scientific article; zbMATH DE number 6243131

    Statements

    On inverse scattering at fixed energy for the multidimensional Newton equation in a non-compactly supported field (English)
    0 references
    0 references
    7 January 2014
    0 references
    Newton equation
    0 references
    inverse scattering
    0 references
    inverse problem at fixed energy
    0 references
    The author performs an analysis of an inverse scattering problem (at fixed large energy) when considering the multidimensional Newton second order differential equation with a smooth and short-range electromagnetic field. The inverse problem in question consists in obtaining the electromagnetic field when given the scattering map at fixed energy. Conditions are obtained under which the scattering map at fixed energy uniquely determines the electromagnetic field. This is done for both relativistic and nonrelativistic cases.
    0 references

    Identifiers

    0 references
    0 references
    0 references
    0 references
    0 references
    0 references