Geodesic
Continuity of the scattering function and Levinson type formula for Klein-Gordon s-wave equation with boundary conditon depends on spectral parameter
Filomat, Tome 37 (2023) no. 20, p. 6781

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DOI

In this article, we consider inverse problem of scattering theory for Klein-Gordon s-wave equation with boundary condition depends on spectral parameter. We define the scattering data and we also prove that the continuity of the scattering function discussing the scattering solutions. Furthermore, we obtain Levinson type formula
DOI : 10.2298/FIL2320781A
Classification : 34B07, 34L25, 47A10
Keywords: Scattering theory, Inverse problem, Scattering data, Levinson formula 
Esra Kir Arpat; Turhan Koprubasi. Continuity of the scattering function and Levinson type formula for Klein-Gordon s-wave equation with boundary conditon depends on spectral parameter. Filomat, Tome 37 (2023) no. 20, p. 6781 . doi: 10.2298/FIL2320781A
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     author = {Esra Kir Arpat and Turhan Koprubasi},
     title = {Continuity of the scattering function and {Levinson} type formula for {Klein-Gordon} s-wave equation with boundary conditon depends on spectral parameter},
     journal = {Filomat},
     pages = {6781 },
     year = {2023},
     volume = {37},
     number = {20},
     doi = {10.2298/FIL2320781A},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL2320781A/}
}
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