Matsumura, Akitaka On the asymptotic behavior of solutions of semi-linear wave equations. (English) Zbl 0356.35008 Publ. Res. Inst. Math. Sci., Kyoto Univ. 12, 169-189 (1976). Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page Cited in 3 ReviewsCited in 226 Documents MathOverflow Questions: Decay estimates for solutions to the damped wave equation MSC: 35B40 Asymptotic behavior of solutions to PDEs 35L60 First-order nonlinear hyperbolic equations PDFBibTeX XMLCite \textit{A. Matsumura}, Publ. Res. Inst. Math. Sci. 12, 169--189 (1976; Zbl 0356.35008) Full Text: DOI 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 This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.