一类具双阻尼项的非线性波动方程的周期Cauchy问题

Periodic Cauchy Problem for a Class of Double Damped Nonlinear Wave Equations

研究一类具有双阻尼项的四阶非线性波动方程的周期Cauchy问题,利用压缩映像原理和积分估计得到其小振幅解的整体存在性、唯一性和衰减性.

The existence,uniqueness and asymptotic behavior of small amplitude solutions,for the periodic Cauchy problem for the double damped nonlinear wave equation of fourth order,are studied by the contraction mapping principle and the integral estimates.