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Time-periodic solutions of telegraph equations in n spatial variables. (English) Zbl 0544.35011

In this paper the authors extend a result of P. H. Rabinowitz [Commun. Pure Appl. Math. 22, 15-39 (1969; Zbl 0157.173)] on the existence of periodic solutions of certain nonlinear hyperbolic partial differential equations from one space dimension to several space dimensions. Their proof is based on a theorem of J. Moser [Proc. Natl. Acad. Sci. USA 47, 1824-1831 (1961; Zbl 0104.305)].
Reviewer: Simeon Reich

MSC:

35B10 Periodic solutions to PDEs
35L70 Second-order nonlinear hyperbolic equations
35A05 General existence and uniqueness theorems (PDE) (MSC2000)
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