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Book Review
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Book Information
Author(s):
Michael Beals
Title:
Propagation and interaction of singularities in nonlinear hyperbolic problems
Additional book information:
Birkhäuser, Basel, 1989, 143 pp., $29.00. ISBN 3-8176-3449-5
References:
- 1.
- J. M. Bony, Propagation et interaction des singularités pour les solutions des équations aux dérivées partielles non-linéaires, Proc. Internat. Cong. Math., 1983, Warszawa, pp. 1133-1147. MR 804765
- 2.
- J. Y. Chemin, Calcul paradifferentielle précisé et applications à des équations aux dérivées partielles non semi linéaires, Duke Math. J. 56 (1988), 431-469. MR 948529
- 3.
- R. Courant and P. D. Lax, The propagation of singularities in wave motion, Proc. Nat. Acad. Sci. U. S. A. 42 (1956), 872-876. MR 81420
- 4.
- J. Hadamard, Leçons sur la propagation des ondes et les équations de l'hydrodynamique, Hermann, Paris, 1903.
- 5.
- P. D. Lax, Asymptotic solutions of oscillatory initial value problems, Duke Math. J. 24 (1957), 627-646. MR 97628
- 6.
- J. Rauch and M. Reed, Nonlinear microlocal analysis of semilinear hyperbolic systems in one space dimension, Duke Math. J. 49 (1982), 379-475. MR 659948
- 7.
- G. Riemann, Über die Fortfanzung ebener Luftwellen von endlicher Schwingungsweite, Abhandl. Königl. Ges. Wiss. Göttingen 8 (1860).
Additional Information:
Reviewer(s):
Jeffrey
Rauch
Review Information:
Journal:
Bull. Amer. Math. Soc.
25
(1991),
157-162.
DOI:
10.1090/S0273-0979-1991-16053-2
PII:
S 0273-0979(1991)16053-2
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