TY - JOUR
T1 - Periodic Solutions of Nonlinear Wave Equations with Dissipative Boundary Conditions
AU - Qin Tiehu
JO - Journal of Partial Differential Equations
VL - 1
SP - 1
EP - 12
PY - 1990
DA - 1990/03
SN - 3
DO - http://doi.org/10.4208/aamm.10-m1030
UR - https://global-sci.org/intro/article_detail/jpde/5786.html
KW - Nonlinear wave equation
KW -  time periodic solution
KW -  dissipative boundary condition
AB -  Applying Nash-Moser's implicit function theorem, the author proves the existence of periodic solution to nonlinear wave equation u_{tt} - u_{xx} + &#949g(t, x, u, u_t, u_x, u_{tt}, u_{tx}, u_{xx}) = 0 with a dissipative boundary condition, provided &#949 is sufficiently small.