Partial differential matrix equations for the inverse problem of scattering theory

DOI10.1063/1.523003zbMath0324.35080OpenAlexW1976217679MaRDI QIDQ4087682

Pierre Rochus, Marcel Coz

Publication date: 1976

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://orbi.uliege.be/handle/2268/16241

Mathematics Subject Classification ID

Scattering theory for PDEs (35P25) Inverse problems for PDEs (35R30)

Related Items (5)

Spectral functions of singular differential operators with matricial coefficients. ⋮ Extension of the Marchenko equation to non-Hermitian differential systems ⋮ Upper bounds for the many-channel Marchenko transformation operator and its derivatives ⋮ Partial differential equations with matricial coefficients and generalized translation operators ⋮ On the Riemann function

Cites Work

• On the Riemann-Green function
• The construction of potentials from theS-matrix for systems of differential equations
• An integral equation for the Gel’fand–Levitan kernel in terms of the scattering potential in the one-dimensional case
• Existence of generalized translation operators from the Agranovitch-Marchenko transformation (Jost solutions)
• Analytic Continuation of the Regular Solution of the Schrödinger Equation in the Complex Angular Momentum Plane
• ASSOCIATED STURM-LIOUVILLE SYSTEMS

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