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\(L^ p\)-decay rates for homogeneous wave-equations. (English) Zbl 0212.44201


MSC:

35L05 Wave equation
35B40 Asymptotic behavior of solutions to PDEs
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References:

[1] Courant, R., Hilbert, D.: Methoden der mathematischen Physik I. Berlin: Springer 1934. · Zbl 0156.23201
[2] ??: Methoden der mathematischen Physik II. Berlin: Springer 1937. · Zbl 0017.39702
[3] Segal, I.E.: Dispersion for non-linear relativistic equations II. Ann. sci. École Norm. Sup., 4e série, 459-497 (1968). · Zbl 0179.42302
[4] Strauss, W. A.: Decay and asymptotics for ?u=F(u). J. Funct. Anal.2, 409-457 (1968). · Zbl 0182.13602 · doi:10.1016/0022-1236(68)90004-9
[5] Wahl, W. v.: Klassische Lösungen nichtlinearer gedämpfter Wellengleichungen im Großen. Manuscripta math.3, 7-33 (1970). · Zbl 0198.13902 · doi:10.1007/BF01168460
[6] ?: Über die klassische Lösbarkeit des Cauchy-Problems für nichtlineare Wellengleichungen bei kleinen Anfangswerten und das asymptotische Verhalten der Lösungen. Math. Z.114, 281-299 (1970). · doi:10.1007/BF01112698
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