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On the asymptotic behavior of solutions of semi-linear wave equations. (English) Zbl 0356.35008


MSC:

35B40 Asymptotic behavior of solutions to PDEs
35L60 First-order nonlinear hyperbolic equations
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References:

[1] Glassey, R. T., On the asymptotic behavior of nonlinear wave equation, Trans. Amer. Math. Soc., 182 (1973), 187-200. · Zbl 0269.35009 · doi:10.2307/1996529
[2] Morawetz, C. S. and Strauss, W. A., Decay and scattering of solutions of a non- linear relativistic wave equation, Comm. Pure Appl. Math., 25 (1972), 1-31. · Zbl 0228.35055 · doi:10.1002/cpa.3160250103
[3] Segal, I. E., Quantization and dispersion for nonlinear relativistic equations, Mathematical Theory of Elementary Particles, M. I. T. Press, Cambridge, Mass., 1966, 79-108.
[4] , Dispersion for non-linear relativistic equations, II, Ann. Sci. Ecole Norm. Sup., (4) 1 (1968), 459-497. · Zbl 0179.42302
[5] von Wahl, W., Uber die klassische Losbarkeit des Cauchy-Problems fur nichtlineare Wellengleichungen bei kleinen Anfangswerten und das asymptotische Verhalten der Losungen, Math. Z., 114 (1970), 281-299. · Zbl 0183.10601 · doi:10.1007/BF01112698
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