In this paper we study the homogenization of the nonlinear wave equation uε div(Aε Δuε) + g(uε ) = fε in Ωε × (0,T), where Ωε is a periodically perforated domain and g is a non-decreasing scalar function.
本文研究如下非线性波动方程的齐次化问题 uε''div(AεΔuε) + g(uε') = fε in Ωε× (0,T),在Ωε× (0,T) 内,这里Ωε为一周期穿孔区域,g为一非降标量函数,我们首先证明该问题解的存在性与唯一性,然后论证该解收敛于其齐次化问题的解。