Remote Access Bulletin of the American Mathematical Society

Bulletin of the American Mathematical Society

ISSN 1088-9485(online) ISSN 0273-0979(print)

Book Review

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Full text of review: PDF
Book Information:

Authors: A. N. Tikhonov and V. Y. Arsenin
Title: Solutions of ill posed problems
Additional book information: (F. John, Translation Editor) V. H. Winston and Sons (distributed by Wiley, New York), 1977, xiii + 258 pp., $19.75.

References [Enhancements On Off] (What's this?)

  • 1. D. G. Bourgin and R. Duffin, The Dirichlet problem for the virbrating string equation, Bull. Amer. Math. Soc. 45 (1939), 851–858. MR 0000729, 10.1090/S0002-9904-1939-07103-6
  • 2. R. Courant and D. Hilbert, Methods of mathematical physics. II, Partial differential equations, Interscience, New York, 1962.
  • 3. David W. Fox and Carlo Pucci, The Dirichlet problem for the wave equation, Ann. Mat. Pura Appl. (4) 46 (1958), 155–182. MR 0104902
  • 4. J. Hadamard, Lectures in the Cauchy problem in linear partial differential equations, Yale Univ. Press, New Haven, Conn., 1923.
  • 5. M. M. Lavrentiev, Some improperly posed problems of mathematical physics, Tracts in Natural Philosophy, vol. 11, Springer-Verlag, Berlin, 1967.
  • 6. L. E. Payne, Improperly posed problems in partial differential equations, Society for Industrial and Applied Mathematics, Philadelphia, Pa., 1975. Regional Conference Series in Applied Mathematics, No. 22. MR 0463736
  • 7. R. J. Knops (ed.), Symposium on Non-Well-Posed Problems and Logarithmic Convexity, Lecture Notes in Mathematics, Vol. 316, Springer-Verlag, Berlin-New York, 1973. Held in Heriot-Watt University, Edinburgh, March 22–24, 1972. MR 0369869

Review Information:

Reviewer: Howard A. Levine
Journal: Bull. Amer. Math. Soc. 1 (1979), 521-524
DOI: https://doi.org/10.1090/S0273-0979-1979-14602-0