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Application of Moser’s method to a certain type of evolution equations. (English) Zbl 0547.35081
The author constructs periodic solutions of a nonlinear damped equation similar to a wave equation where the nonlinearity occurs in the highest derivatives but the nonlinear term is multiplied by a small parameter. She does this by using the Nash-Moser theory to reduce the problem to a one-dimensional problem. She obtains a useful lemma for verifying the assumptions of the Nash-Moser theory.
Reviewer: E.Dancer

35L75 Higher-order nonlinear hyperbolic equations
35B32 Bifurcations in context of PDEs
35Q99 Partial differential equations of mathematical physics and other areas of application
Full Text: EuDML
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