Periodic Solutions of Nonlinear Wave Equations with Dissipative Boundary Conditions

Authors

  • Qin Tiehu

DOI:

https://doi.org/10.4208/aamm.10-m1030

Keywords:

Nonlinear wave equation; time periodic solution; dissipative boundary condition

Abstract

Applying Nash-Moser's implicit function theorem, the author proves the existence of periodic solution to nonlinear wave equation u_{tt} - u_{xx} + εg(t, x, u, u_t, u_x, u_{tt}, u_{tx}, u_{xx}) = 0 with a dissipative boundary condition, provided ε is sufficiently small.

Published

1990-03-01

Issue

Section

Articles