Inverse problem for the acoustic wave equation: A probabilistic approach to approximations and uniqueness

DOI10.1016/S0096-3003(00)00022-9zbMath1024.76047MaRDI QIDQ1855025

Henryk Gzyl

Publication date: 28 January 2003

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

zbMATH Keywords

Laplace transforminverse problemuniquenessacoustic wave equationprobabilistic approachheterogeneous mediumBorn approximationpath integral representation

Mathematics Subject Classification ID

Stochastic analysis applied to problems in fluid mechanics (76M35) Inverse problems for PDEs (35R30) Hydro- and aero-acoustics (76Q05)

Cites Work

• Is the Born approximation good for solving the inverse problem when the potential is small?
• The probabilistic solution of the third boundary value problem for second order elliptic equations
• Functional Integration and Partial Differential Equations. (AM-109)
• Probabilistic approach to the neumann problem
• On complete recovery of geophysical data
• Introduction
• Mathematics of multidimensional seismic imaging, migration, and inversion
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