On the inverse problem for a hyperbolic dispersive partial differential equation

DOI10.1063/1.1665939zbMath0253.35054OpenAlexW4232703714WikidataQ115333909 ScholiaQ115333909MaRDI QIDQ5666937

Vaughan H. Weston

Publication date: 1972

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

Full work available at URL: https://doi.org/10.1063/1.1665939

Mathematics Subject Classification ID

Inverse problems for PDEs (35R30) Wave equation (35L05) Second-order hyperbolic equations (35L10)

Related Items (14)

Some spectral formulas for systems and transmission lines ⋮ Direct and inverse scattering in the time domain for a dissipative wave equation. I. Scattering operators ⋮ Direct and inverse scattering in the time domain for a dissipative wave equation. II. Simultaneous reconstruction of dissipation and phase velocity profiles ⋮ An electromagnetic inverse problem for dispersive media ⋮ The Gelfand-Levitan, the Marchenko, and the Gopinath-Sondhi integral equations of inverse scattering theory, regarded in the context of inverse impulse-response problems ⋮ On the inverse problem for a hyperbolic dispersive partial differential equation. II ⋮ Time dependent direct and inverse electromagnetic scattering for the dispersive cylinder ⋮ On the inverse scattering problem for the one-dimensional Schrödinger equation with an energy dependent potential ⋮ Molecular seismology: an inverse problem in nanobiology ⋮ Formulas of boundary control of an inhomogeneous string. I ⋮ Time-dependent inverse scattering from gradient-type interfaces using an exact solution ⋮ Topological dynamics on moduli spaces II ⋮ Born-type reconstruction of material parameters of an inhomogeneous, lossy dielectric slab from reflected-field data ⋮ Inverse problems for nonabsorbing media with discontinuous material properties

Cites Work

• On the determination of a differential equation from its spectral function
• The inverse scattering problem when the reflection coefficient is a rational function
• The Inverse Problem in the Quantum Theory of Scattering
• The synthesis of infinite lines

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