拟线性双曲组混合初边值问题经典解的L^1稳定性  

L^1 stability for classical solutions to mixed initial-boundary value problem for quasilinear hyperbolic systems

作　　者：杨永富[1] 陈一春 

机构地区：[1]河海大学理学院,江苏南京210098

出　　处：《西北师范大学学报（自然科学版）》2013年第6期6-9,共4页Journal of Northwest Normal University(Natural Science)

基　　金：国家自然科学基金资助项目(11201115)

摘　　要：若拟线性严格双曲组为线性退化的,且初始数据及边界条件具有某种小性,则其C1经典解是L1稳定的.T he L1 stability is proved for classical solutions of the mixed initial-boundary value problem for quasilinear hyperbolic system with small initial and boundary conditions , provided that the system is linearly degenerate and strictly hyperbolic .

关 键 词：拟线性双曲组 混合初边值问题 线性退化 稳定 

分 类 号：O175.22[理学—数学] O175.27[理学—基础数学]