一类拟线性波动方程整体解的存在性与渐近性被引量：1

Global existence and asymptotic behavior of solutions for a class of nonlinear wave equations

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摘要研究初边值问题utt-Δu-Δut-∑ni=1xiβ(utxi)+f(ut)=g(u)　　x∈Ω,t>0u｜Ω=0　　t≥0u(x,0)=u0,ut(x,0)=u1　　x∈Ω得到了该问题整体广义解的存在性、惟一性和渐近性. The initial boundary value proldem is discussed u_(tt)-Δu-Δu_t-∑ni=1x_iβ(u_(tx_i))+f(u_t)=g(u)x∈Ω,t>0 u｜_(Ω)=0t≥0 u(x,0)=u_0,u_t(x,0)=u_1x∈Ω The global existence uniqueness and asymptotic behavior of the solution are obtained.

作者王楠朱云

机构地区郑州大学数学系郑州轻工业学院信息与计算科学系

出处《郑州轻工业学院学报（自然科学版）》 CAS 2005年第1期95-99,共5页 Journal of Zhengzhou University of Light Industry:Natural Science

基金河南省自然科学基金项目(0211010500)

关键词解的存在性渐近性拟线性波动方程整体解初边值问题广义解惟一性 wave equations initial boundary value problem solutions global existence uniqueness asymptotic behavior

分类号 TS881 [轻工技术与工程] O175 [理学—基础数学]

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