Solution to the inverse problem of the 1-D wave equation

DOI10.1063/1.528390zbMath0703.35175OpenAlexW2054169710MaRDI QIDQ5899855

Jau-Inn Huang

Publication date: 1989

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

Full work available at URL: https://doi.org/10.1063/1.528390

zbMATH Keywords

backscattered wavesGopinath-Sondhi equationunknown variable coefficient

Mathematics Subject Classification ID

Inverse problems for PDEs (35R30) Wave equation (35L05) Applications to the sciences (65Z05)

Related Items (1)

New Poisson-Sch type inequalities and their applications in quantum calculus

Cites Work

• 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 determination of a differential equation from its spectral function
• The inverse scattering problem when the reflection coefficient is a rational function
• Scattering techniques for a one dimensional inverse problem in geophysics
• Inverse scattering: determination of inhomogeneities in sound speed
• Continuous and Discrete Inverse-Scattering Problems in a Stratified Elastic Medium. I. Plane Waves at Normal Incidence

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