A variational principle for the Gel’fand–Levitan equation and the Korteweg–de Vries equation

DOI10.1063/1.523234zbMath0395.49036OpenAlexW2031890960MaRDI QIDQ4178156

Madhoo Kanal, H. E. Moses

Publication date: 1977

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

Full work available at URL: https://doi.org/10.1063/1.523234

zbMATH Keywords

Fredholm EquationVariational PrincipleGel'Fand-Levitan EqutionKertewed-De Vries Equation

Mathematics Subject Classification ID

Partial differential equations of mathematical physics and other areas of application (35Q99) Fredholm integral equations (45B05) Variational principles of physics (49S05)

Related Items (6)

The inverse problem of the calculus of variations applied to continuum physics ⋮ An infinite medium Green's function for the transport in an anhomogeneous anisotropically scattering medium ⋮ A variational principle for the linear filter matrix and an interpretation for the maximum value of the functional ⋮ Gel’fand–Levitan equations with comparison measures and comparison potentials ⋮ A variational principle for transport theory ⋮ Direct-inverse problems in transport theory. 1. The inverse problem

Cites Work

• On the determination of a differential equation from its spectral function
• The Inverse Problem in the Quantum Theory of Scattering

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