Estimates for wave propagation in inhomogeneous acoustic media

DOI10.1016/0022-247X(91)90159-WzbMath0774.35043MaRDI QIDQ1190577

Erkki Somersalo, Margaret Cheney

Publication date: 26 September 1992

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

zbMATH Keywords

Fourier transformtime-domainscattering problemsemigroup approachLippmann-Schwinger equationrelationshipfrequency-domain solutionslarge-time growth estimatestime-domain Green function

Mathematics Subject Classification ID

Inverse problems for PDEs (35R30) Hydro- and aero-acoustics (76Q05) Initial value problems for second-order hyperbolic equations (35L15)

Cites Work

• Finite element approximation of the Navier-Stokes equations
• A new equation of scattering theory and its use in inverse scattering
• The principle of limiting absorption for the non-selfadjoint Schrödinger operator in R\(^N\) \((N \neq 2)\)
• Three-dimensional inverse scattering: layer-stripping formulae and ill-posedness results
• Three-dimensional inverse scattering for the wave equation with variable speed: near-field formulae using point sources
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