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On classical solutions of a quasilinear hyperbolic equation. (English) Zbl 0419.35062


MSC:

35L70 Second-order nonlinear hyperbolic equations
35P25 Scattering theory for PDEs
47A40 Scattering theory of linear operators
35L15 Initial value problems for second-order hyperbolic equations
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References:

[1] Perla, G., Une solution d’une √©quation non lineaire d’evolution, C.R. acad. sci. Paris, 6, 286, 273-275, (1978), Series A · Zbl 0368.35045
[2] Dickey, R.W., The initial value problem for a nonlinear semiinfinite string, (), March (to appear) · Zbl 0394.45007
[3] Nishida, T., A note on the nonlinear vibrations of the elastic string, Mem. fac. engng Kyoto univ., XXXIII, 329-341, (1971)
[4] {\scLions} J.L., On some questions in boundary value problems of Mathematical physics, Proc. Int. Symp. Cont. Mech. and Part. diff. Equns, Rio de Janeiro, IMUFRJ (to appear). · Zbl 0404.35002
[5] Pohozaev, S.I., On a class of quasilinear hyperbolic equations, Mat. sb., 25, 145-158, (1975) · Zbl 0328.35060
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