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Estimates for Approximate Solutions to Acoustic Inverse Scattering Problems

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Book cover Inverse Problems in Wave Propagation

Part of the book series: The IMA Volumes in Mathematics and its Applications ((IMA,volume 90))

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Abstract

Introduction. We examine the ‘inverse problem’ of determining a scatterer K ⊂ ℝ3 in terms of information on the scattered waves, particularly solutions to the reduced wave equation (Δ + k 2) u = 0 on ℝ3\ K, satisfying a Dirichlet boundary condition, u = f on ∂K, and the Sommerfeld radiation condition.

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Author information

Authors and Affiliations

  1. University of North Carolina, Chapel Hill, NC, 27599, USA

    Michael E. Taylor

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  1. Michael E. Taylor
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Editor information

Editors and Affiliations

  1. Domaine de Voluceau, INRIA, B.P. 105, 78153 Le Chesnay, Cedex, France

    Guy Chavent

  2. Department of Mathematics, Iowa State University, Ames, IA, 50011, USA

    Paul Sacks

  3. Department of Mathematics, Stanford University, Stanford, CA, 94305, USA

    George Papanicolaou

  4. Department of Computer and Applied Mathematics, Rice University, Houston, TX, 77251-1892, USA

    William W. Symes

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© 1997 Springer Science+Business Media New York

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Taylor, M.E. (1997). Estimates for Approximate Solutions to Acoustic Inverse Scattering Problems. In: Chavent, G., Sacks, P., Papanicolaou, G., Symes, W.W. (eds) Inverse Problems in Wave Propagation. The IMA Volumes in Mathematics and its Applications, vol 90. Springer, New York, NY. https://doi.org/10.1007/978-1-4612-1878-4_24

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  • DOI: https://doi.org/10.1007/978-1-4612-1878-4_24

  • Publisher Name: Springer, New York, NY

  • Print ISBN: 978-1-4612-7322-6

  • Online ISBN: 978-1-4612-1878-4

  • eBook Packages: Springer Book Archive

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