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Inverse scattering for scattering data with poor regularity of slow decay

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Publication:1822742
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DOI10.1216/JIE-1988-1-1-123zbMath0679.47009MaRDI QIDQ1822742

Thomas Kappeler

Publication date: 1988

Published in: Journal of Integral Equations and Applications (Search for Journal in Brave)


zbMATH Keywords

Marchenko equationCauchy problem for the Korteweg-de Vries equations with irregular initial profileinverse scattering problem for scattering data with poor regularity and slow decay propertiesstandard method of Fadeev


Mathematics Subject Classification ID

Scattering theory for PDEs (35P25) Partial differential equations of mathematical physics and other areas of application (35Q99) Scattering theory of linear operators (47A40)


Related Items

Solutions of the Korteweg-de Vries equation with steplike initial data, One smoothing property of the scattering map of the KdV on \(\mathbb{R}\)



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