On some differential equations arising in time domain scattering problems for a dissipative wave equation

DOI10.1080/00411459108204707zbMath0795.35144OpenAlexW1996444552WikidataQ115306654 ScholiaQ115306654MaRDI QIDQ4292485

David J. N. Wall

Publication date: 14 September 1994

Published in: Transport Theory and Statistical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00411459108204707

zbMATH Keywords

boundary measurementsuniqueness and existencespatially varying material property

Mathematics Subject Classification ID

Integro-partial differential equations (45K05) Scattering theory for PDEs (35P25) Inverse problems for PDEs (35R30)

Cites Work

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• Obtaining scattering kernels using invariant imbedding
• On continuous dependence for an inverse initial boundary value problem for the wave equation
• High-order methods for the numerical solution of Volterra integro- differential equations
• A Banach space ODE framework for inverse scattering via invariant imbedding
• 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
• Direct and inverse scattering in the time domain for a dissipative wave equation. Part IV: Use of phase velocity mismatches to simplify inversions
• Direct and inverse scattering in the time domain for a dissipative wave equation. III. Scattering operators in the presence of a phase velocity mismatch

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