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Book Review
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Book Information
Author(s):
Li Ta-Tsien and Chen Yunmei
Title:
Global classical solutions for nonlinear evolution equations
Additional book information:
Longman Scientific and Technical, Harlow, 1992, xii+209 pp., US$69.00. ISBN 0-58205588-1
References:
- [1]
- D. Christodoulou and S. Klainerman, The global nonlinear stability of the Minkowski space, {\rm Princeton Math. Ser.}, vol.~41, Princeton Univ. Press, Princeton, NJ, 1993.
- [2]
- H. Fujita, On the blowing up of solutions of the Cauchy problem for $u_t=\Delta u+u^{1+\alpha }$, J. Fac. Sci. Univ. Tokyo Sect. IA Math \textbf{13} (1966), 109--124.
- [3]
- R. T. Glassey, On the blowing-up of solutions to the Cauchy problem for nonlinear Schr\"odinger equations, J. Math. Phys. \textbf{18} (1977), 1794--1797.
- [4]
- F. John, Blow-up of solutions of nonlinear wave equations in three space dimensions, Manuscripta Math. \textbf{28} (1979), 235--268.
- [5]
- I. E. Segal, Dispersion for nonlinear relativistic equations {\rm II}, Ann. Sci. \'Ecole Norm. Sup. (4) \textbf{1} (1968), 459--497.
- [6]
- J. Shatah, Global existence of small solutions to nonlinear evolution equations, J. Differential Equations \textbf{46} (1982), 409--425.
- [7]
- W. A. Strauss, Nonlinear wave equations, CBMS Regional Conf. Ser. in Math., vol.~73, Amer. Math. Soc., Providence, RI, 1989.
Additional Information:
Reviewer(s):
Walter A.
Strauss
Review Information:
Journal:
Bull. Amer. Math. Soc.
29
(1993),
265-269.
DOI:
10.1090/S0273-0979-1993-00415-4
PII:
S 0273-0979(1993)00415-4
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