Remote Access Bulletin of the American Mathematical Society

Bulletin of the American Mathematical Society

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

Book Review

The AMS does not provide abstracts of book reviews. You may download the entire review from the links below.


Full text of review: PDF   This review is available free of charge.
Book Information:

Author: F. G. Friedlander
Title: The wave equation on a curved space-time
Additional book information: Cambridge Monographs on Mathematical Physics, no. 2, Cambridge Univ. Press, New York and London, 1976, x + 282 pp., $39.50.

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

  • 1. R. Courant and D. Hilbert, Methoden der mathematischen Physik. Vol. 2, Springer, Berlin, 1937, Distributed by Interscience, New York. MR 344038
  • 2. R. Courant and D. Hilbert, Methods of mathematical physics, Vol. II, Interscience, New York, 1962. MR 25 #4216. MR 65391
  • 3. R. Courant and P. D. Lax, The propagation of discontinuities in wave motion, Proc. Nat. Acad. Sci. U.S.A. 42 (1956), 872-876. MR 18, 399. MR 81420
  • 4. A Douglis, The problem of Cauchy for linear, hyperbolic equations of second order, Comm. Pure Appl. Math. 7 (1954), 271-295. MR 16, 44. MR 62931
  • 5. J. Hadamard, Lectures on Cauchy's problem in linear partial differential equations, Yale Univ. Press, New Haven, Ct., 1923.
  • 6. J. Hadamard, Le problème de Cauchy et les équations aux dérivées partielles linéaire hyperboliques, Hermann, Paris, 1932.
  • 7. M. Mathisson, Eine neue Lösungsmethode für Differentialgleichungen von normalen hyperbolischem Typus, Math. Ann. 107 (1932), 400-419, 648.
  • 8. M. Riesz, L'intégrale de Riemann-Liouville et le problème de Cauchy, Acta Math. 81 (1949), 1-223. MR 10, 713. MR 30102
  • 9. M. Riesz, A geometric solution of the wave equation in space-time of even dimension, Comm. Pure Appl. Math. 13 (1960), 329-351. MR 22 # 11215. MR 120461
  • 10. M. Riesz, The analytic continuation of the Riemann-Liouville integral in the hyperbolic case, Canad. J. Math. 13 (1961), 37-47. MR 26 #5131. MR 147616
  • 11. D. Sather, Pointwise bounds for the solutions of a Cauchy problem in terms of the Cauchy data, J. Differential Equations 3 (1967), 286-309. MR 36 #526. MR 217436

Review Information:

Reviewer: Avron Douglis
Journal: Bull. Amer. Math. Soc. 84 (1978), 222-228
DOI: https://doi.org/10.1090/S0002-9904-1978-14458-9
American Mathematical Society