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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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Radiation conditions and uniqueness for stationary oscillations in elastic plates
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by Christian Constanda PDF
Proc. Amer. Math. Soc. 126 (1998), 827-834 Request permission

Abstract:

Sommerfeld-type radiation conditions are indicated for the solutions of the system governing the small stationary oscillations in plates with transverse shear deformation, and a uniqueness theorem is proved in the case of the corresponding exterior Dirichlet and Neumann problems.
References
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  • C. Constanda, A mathematical analysis of bending of plates with transverse shear deformation, Pitman Research Notes in Mathematics Series, vol. 215, Longman Scientific & Technical, Harlow; copublished in the United States with John Wiley & Sons, Inc., New York, 1990. MR 1072130, DOI 10.1117/12.22907
  • P. Schiavone and C. Constanda, Oscillation problems in thin plates with transverse shear deformation, SIAM J. Appl. Math. 53 (1993), no. 5, 1253–1263. MR 1239406, DOI 10.1137/0153060
  • V. Smirnov, Cours de mathématiques supérieures. Tome III. Première partie, Traduit du Russe: Mathématiques. [Translations of Russian Works: Mathematics], “Mir”, Moscow, 1989 (French). Translated from the Russian by Jean Sislian; Reprint of the 1976 edition. MR 997297
  • C. Constanda and P. Schiavone, Flexural waves in Mindlin-type plates, Z. Angew. Math. Mech. 74 (1994), 492–493.
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Additional Information
  • Christian Constanda
  • Affiliation: Department of Mathematics, University of Strathclyde, Glasgow, United Kingdom
  • Email: c.constanda@strath.ac.uk
  • Received by editor(s): April 30, 1996
  • Received by editor(s) in revised form: September 9, 1996
  • Additional Notes: This work was supported in part by a grant from the Carnegie Trust for the Universities of Scotland
  • Communicated by: Palle E. T. Jorgensen
  • © Copyright 1998 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 126 (1998), 827-834
  • MSC (1991): Primary 35J55, 73K10, 73C15, 73D30
  • DOI: https://doi.org/10.1090/S0002-9939-98-04224-5
  • MathSciNet review: 1443820