一类半线性双曲型方程柯西问题的整体解  

A complete solution of Caughy-solution of semi-linaer doubly curving equation

作　　者：张玉洲[1] 

机构地区：[1]大连水产学院基础部

出　　处：《大连水产学院学报》1992年第2期105-110,共6页Journal of Dalian Fisheries University

摘　　要：本文考虑一类半线性双曲型方程柯西问题,引入了具有能量估计和衰减性的函数空间,利用Nash-Moser-H(?)rmander迭代格式和压缩映象定理证明了方程柯西问题在空间维数改进到n>1+2/α时解的存在性和唯一性,并证明了解当t→∞时具有一定的衰减性。In this paper, the Caughy-solution of semilinear doubly curving equation has been discussed, and we proved the existence and uniqueness of its Caughy - solution when the dimension of liear - space was replaced by n>1 + 2/a, meaningwhile we obtained its degeration as the condition that t- was satisfied

关 键 词：能量估计 整体解 双曲型方程 

分 类 号：O175.27[理学—数学]