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Bibliography
Klainerman, S., Global existence for nonlinear wave equations, Comm. Pure Appl. Math. 33, 43–101 (1980).
John, F., Blow-Up of Solutions of nonlinear wave equations in three space dimensions, Manuscripta Math. 28, 235–268 (1979).
Fujita, H., On the blowing up of solutions of the Cauchy problem for u t = Δu + u 1 +α, J. Fac. Sci. Univ. Tokyo, Sect. 1 13 (1966), 109–124.
Kato, T., Unpublished work on the nonlinear Schrödinger equation.
Guang-Chang Dong & Li Shujie, On initial value problems for a nonlinear Schrö- dinger equation, preprint.
John, F., Finite amplitude waves in a homogeneous isotropic elastic solid, Comm. Pure. Appl. Math. 30, 421–446 (1977).
Strauss, W., Dispersion of low-energy waves for two conservative equations, Arch. Rational Mech. Anal. 55 (1974), 86–92.
Won Wahl, W., LP-decay rates for homogeneous wave equations, Math. Z. 120, 1971, 93–106.
Hörmander, L., Implicit Function Theorems, Lectures at Stanford University, Summer 1977.
Strauss, W., Everywhere defined wave operators, Proceedings of the Symp. in “Nonlinear Evolution Equations,” Madison, 1977.
Strauss, W., Nonlinear Scattering Theory at Low Energy, preprint.
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Communicated by C. Dafermos
The work reported here was supported by a Miller Fellowship at the University of California at Berkeley.
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Klainerman, S. Long-time behavior of solutions to nonlinear evolution equations. Arch. Rational Mech. Anal. 78, 73–98 (1982). https://doi.org/10.1007/BF00253225
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DOI: https://doi.org/10.1007/BF00253225