一类以测度为初值的拟线性双曲方程组BV解的存在性  

Existence of BV Solutions for a Class of Systems of Quasilinear Hyperbolic Equations with Measures as Initial Conditions

作　　者：袁洪君[1] 闫晗[1] 佟丽宁[1] 

机构地区：[1]吉林大学数学学院,长春130012

出　　处：《吉林大学学报（理学版）》2008年第2期167-172,共6页Journal of Jilin University:Science Edition

基　　金：国家自然科学基金(批准号:10571072);国家重点基础研究计划(973)项目基金(批准号:2006CB805902);吉林大学"985工程"项目基金

摘　　要：研究一类以Radon测度为初值的拟线性双曲方程组整体BV解的存在性.首先考虑方程组的正则化问题,通过一系列分析,由极限过程得到了正则化问题整体解的存在性,进而得到了正则化问题解的一致BV估计及整体BV解的存在性.The aim of this paper is to discuss the existence of global BV solutions for a class of systems of quasilinear hyperbolic equations with Radon measures as initial conditions. We firstly considered its regularized problem. With the aid of a series of critical analysis and by a limit process, we obtained the existence of global solutions for the regularized problem. In particular, we also obtained the uniform BV estimates for it. Then again, by a limit process, the existence of global BV solutions for the original problem was obtained.

关 键 词：拟线性双曲型方程组 CAUCHY问题 存在性 

分 类 号：O175.2[理学—数学]