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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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Determining a sound-soft polyhedral scatterer by a single far-field measurement
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by Giovanni Alessandrini and Luca Rondi PDF
Proc. Amer. Math. Soc. 133 (2005), 1685-1691 Request permission

Abstract:

We prove that a sound-soft polyhedral scatterer is uniquely determined by the far-field pattern corresponding to an incident plane wave at one given wavenumber and one given incident direction.
References
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Additional Information
  • Giovanni Alessandrini
  • Affiliation: Dipartimento di Matematica e Informatica, Università degli Studi di Trieste, Trieste, Italy
  • Email: alessang@univ.trieste.it
  • Luca Rondi
  • Affiliation: Dipartimento di Matematica e Informatica, Università degli Studi di Trieste, Trieste, Italy
  • Email: rondi@univ.trieste.it
  • Received by editor(s): January 22, 2004
  • Published electronically: January 13, 2005
  • Additional Notes: This work was supported in part by MIUR under grant no. 2002013279.
  • Communicated by: M. Gregory Forest
  • © Copyright 2005 American Mathematical Society
    The copyright for this article reverts to public domain 28 years after publication.
  • Journal: Proc. Amer. Math. Soc. 133 (2005), 1685-1691
  • MSC (2000): Primary 35R30; Secondary 35P25
  • DOI: https://doi.org/10.1090/S0002-9939-05-07810-X
  • MathSciNet review: 2120253