Riemann-Lebesgue Properties of Green's Functions with Applications to Inverse Scattering

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dc.contributor.authorFord, Richard
dc.date.accessioned2019-12-18T15:10:35Z
dc.date.available2019-12-18T15:10:35Z
dc.date.issued2000-01-21
dc.description.abstractSaito's method has been applied successfully for measuring potentials with compact support in three dimensions. Also potentials have been reconstructed in the sense of distributions using a weak version of the method. Saito's method does not depend on the decay of the boundary value of the resolvent operator, but instead on certain Reimann-Lebesgue type properties of convolutions of the kernel of the unperturbed resolvent. In this paper these properties are extended from three to higher dimensions. We also provide an important application to inverse scattering by extending reconstruction results to measure potentials with unbounded support.
dc.description.departmentMathematics
dc.formatText
dc.format.extent19 pages
dc.format.medium1 file (.pdf)
dc.identifier.citationFord, R. (2000). Riemann-Lebesgue properties of Green's functions with applications to inverse scattering. <i>Electronic Journal of Differential Equations, 2000</i>(7), pp. 1-19.
dc.identifier.issn1072-6691
dc.identifier.urihttps://hdl.handle.net/10877/9102
dc.language.isoen
dc.publisherSouthwest Texas State University, Department of Mathematics
dc.rightsAttribution 4.0 International
dc.rights.urihttps://creativecommons.org/licenses/by/4.0/
dc.sourceElectronic Journal of Differential Equations, 2000, San Marcos, Texas: Southwest Texas State University and University of North Texas.
dc.subjectInverse scattering
dc.subjectGreen's functions
dc.subjectSchrdinger equation
dc.subjectBorn approximation
dc.subjectMeasure potentials
dc.titleRiemann-Lebesgue Properties of Green's Functions with Applications to Inverse Scattering
dc.typeArticle

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