Time-dependent inverse scattering from gradient-type interfaces using an exact solution

DOI10.1063/1.528588zbMath0692.35143OpenAlexW2016637138MaRDI QIDQ3034254

Kevin L. Kreider

Publication date: 1989

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

Full work available at URL: https://doi.org/10.1063/1.528588

zbMATH Keywords

inverse scattering problemgradient-type interface

Mathematics Subject Classification ID

Inverse problems for PDEs (35R30) Partial differential equations of mathematical physics and other areas of application (35Q99)

Cites Work

• Obtaining scattering kernels using invariant imbedding
• Direct and inverse scattering in the time domain via invariant imbedding equations
• An electromagnetic inverse problem for dispersive media
• 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 inverse problem for a dissipative hyperbolic equation with discontinuous coefficients
• An inverse problem for an absorbing medium with multiple discontinuities
• Direct and inverse scattering in the time domain for a dissipative wave equation. III. Scattering operators in the presence of a phase velocity mismatch
• Inverse problems for nonabsorbing media with discontinuous material properties
• On the inverse problem for a hyperbolic dispersive partial differential equation
• On the inverse problem for a hyperbolic dispersive partial differential equation. II

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