Bulletin of the American Mathematical Society

MathSciNet review: 1567036
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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.

R. Courant and D. Hilbert, Methoden der mathematischen Physik. I, Heidelberger Taschenbücher, Band 30, Springer-Verlag, Berlin-New York, 1968 (German). Dritte Auflage. MR 0344038

R. Courant and D. Hilbert, Methods of mathematical physics. Vol. I, Interscience Publishers, Inc., New York, N.Y., 1953. MR 0065391

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 81420, DOI 10.1073/pnas.42.11.872

Avron Douglis, The problem of Cauchy for linear, hyperbolic equations of second order, Comm. Pure Appl. Math. 7 (1954), 271–295. MR 62931, DOI 10.1002/cpa.3160070203

5.

J. Hadamard, Lectures on Cauchy's problem in linear partial differential equations, Yale Univ. Press, New Haven, Ct., 1923.

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J. Hadamard, Le problème de Cauchy et les équations aux dérivées partielles linéaire hyperboliques, Hermann, Paris, 1932.

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M. Mathisson, Eine neue Lösungsmethode für Differentialgleichungen von normalen hyperbolischem Typus, Math. Ann. 107 (1932), 400-419, 648.

Marcel Riesz, L’intégrale de Riemann-Liouville et le problème de Cauchy, Acta Math. 81 (1949), 1–223 (French). MR 30102, DOI 10.1007/BF02395016

Marcel Riesz, A geometric solution of the wave equation in space-time of even dimension, Comm. Pure Appl. Math. 13 (1960), 329–351. MR 120461, DOI 10.1002/cpa.3160130302

Marcel Riesz, The analytic continuation of the Riemann-Liouville integral in the hyperbolic case, Canadian J. Math. 13 (1961), 37–47. MR 147616, DOI 10.4153/CJM-1961-003-x

D. Sather, Pointwise bounds for the solution of a Cauchy problem in terms of the Cauchy data, J. Differential Equations 3 (1967), 286–309. MR 217436, DOI 10.1016/0022-0396(67)90033-2

1.

R. Courant and D. Hilbert, Methoden der mathematischen Physik. Vol. 2, Springer, Berlin, 1937, Distributed by Interscience, New York. MR 0344038

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