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On a new class of nonlinear wave equations. (English) Zbl 0407.35051

35L05Wave equation (hyperbolic PDE)
35R15PDE on infinite-dimensional spaces
35G10Initial value problems for linear higher-order PDE
35K25Higher order parabolic equations, general
Full Text: DOI
[1] Dickey, R. W.: Free vibrations and dynamic buckling of the extensible beam. J. math. Anal. appl. 29, 443-454 (1970) · Zbl 0187.04803
[2] Eiesley, J. G.: Nonlinear vibrations of beams and rectangular plates. Z. angew. Math. phys. 15, 167-175 (1964)
[3] Lions, J. L.: Quelques méthodes de résolution des problèmes aux limites non linéaires. (1969)
[4] Lions, J. L.: On some questions in boundary value problems of mathematical phycis. Lecture notes (1977)
[5] Lions, J. L.; Magenes, E.: Problèmes aux limites non homogènes et applications. 3 (1970) · Zbl 0197.06701
[6] Pohozaev, S. L.: On a class of quasi linear hyperbolic equations. Mat. sb. 25, 145-158 (1975) · Zbl 0328.35060