一类带有有界函数系数的双曲型方程的BV解  

BV solutions to a class of hyperbolic equations with coefficients of bounded functions

作　　者：王小炎[1] 陈明涛[2] 

机构地区：[1]广西工学院信息与计算科学系,广西柳州545006 [2]吉林大学数学学院,吉林长春130012

出　　处：《广西工学院学报》2007年第2期46-48,53,共4页Journal of Guangxi University of Technology

摘　　要：讨论了拟线性双曲方程以σ-有限Borel测度为初值的Cauchy问题,通过给出一系列BV解的估计,得到了拟线性双曲方程的BV解的存在唯一性。The aim is to discuss eanchy problems of the quasilinear hyperbolic equations with σ-finite Borel measures as initial conditions. By some BV estimations of the solutions the existence and uniqueness of BV solutions to the above problem are obtained.

关 键 词：存在性和唯一性 双曲方程 BV解 

分 类 号：O175.26[理学—数学]