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Book Review
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Book Information
Author(s):
P. I. Naumkin and I. A. Shishmarev
Title:
Nonlinear nonlocal equations in the theory of waves
Additional book information:
Transl. Math. Monographs, vol. 133, Amer. Math. Soc.,
Providence, RI,
1994,
x+289,
$149.00,
0-8218-4753-X
References:
- [AS]
- M. Ablowitz and H. Segur, Solitons and the inverse scattering transform, SIAM, Philadelphia, 1981. MR 84a:35251
- [ABS]
- C. Amick, J. Bona, and M. Schonbek, Decay of solutions of some nonlinear wave equations, J. Diff. Eq. 81 (1989), 1-49. MR 90k:35210
- [DVZ]
- P. Deift, S. Venakides, and X. Zhou, The collisionless shock region for the long-time behavior of solutions of the KdV equation, Comm. Pure Appl. Math. 47 (1994), 199-206. MR 95f:35220
- [D1]
- D. Dix, Temporal asymptotic behavior of solutions of the Benjamin-Ono-Burgers equation, J. Diff. Eq. 90 (1991), 238-287. MR 92c:35104
- [D2]
- -, The dissipation of nonlinear dispersive waves: the case of asymptotically weak nonlinearity, Comm. Part. Diff. Eqns. 17 (1992), 1665-1693. MR 93k:35041
- [D3]
- -, Large-time asymptotic behavior of solutions of linear dispersive equations, preprint.
- [K]
- S. Kichenassamy, Nonlinear wave equations, Marcel Dekker, New York, 1996.
MR 1:362 547
- [S]
- J. Smoller, Shock waves and reaction-diffusion equations, Springer-Verlag, New York, 1982. MR 84d:35002
- [W]
- G. Whitham, Linear and nonlinear waves, John Wiley and Sons, New York, 1974. MR 58:3905
Additional Information:
Reviewer(s):
John
P.
Albert
Affiliation:
University of Oklahoma
Email:
jalbert@uoknor.edu
Review Information:
Journal:
Bull. Amer. Math. Soc.
34
(1997),
95-100.
MSC
(1991):
Primary 35-02, 35Q35;
Secondary 45K05, 35Q53
DOI:
10.1090/S0273-0979-97-00705-2
PII:
S 0273-0979(97)00705-2
Copyright of article:
Copyright
1997,
American Mathematical Society
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