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arXiv · 1706.03921

Periodic Solutions to Nonlinear Wave equation with $X$-dependent Coefficients under the General Boundary Conditions

Bochao Chen·Yong Li·Xue Yang
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Abstract

In this paper we consider a class of nonlinear wave equation with $x$-dependent coefficients and prove existence of families of time-periodic solutions under the general boundary conditions. Such a model arises from the forced vibrations of a nonhomogeneous string and the propagation of seismic waves in nonisotropic media. The proofs are based on a Lyapunov-Schmidt reduction together with a differentiable Nash-Moser iteration scheme.

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Bochao Chen, Yong Li, Xue Yang. 2017-06-13. Periodic Solutions to Nonlinear Wave equation with $X$-dependent Coefficients under the General Boundary Conditions. https://arxiv.org/abs/1706.03921

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