| 一类以测度为初值的拟线性双曲方程组BV解的存在性 |
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| 引用本文： | 袁洪君,闫晗,佟丽宁.一类以测度为初值的拟线性双曲方程组BV解的存在性[J].吉林大学学报(理学版),2008,46(2):167-172. |
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| 作者姓名： | 袁洪君 闫晗 佟丽宁 |
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| 作者单位： | 吉林大学 数学学院, 长春 130012 |
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| 基金项目： | 国家自然科学基金
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国家重点基础研究发展计划(973计划)
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吉林大学校科研和校改项目 |
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| 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.
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| 关 键 词： | 拟线性双曲型方程组 Cauchy问题 存在性 |
| 文章编号： | 1671-5489(2008)02-0167-06 |
| 收稿时间： | 2007-10-09 |
| 修稿时间： | 2007年10月9日 |
Existence of BV Solutions for a Class of Systems of Quasilinear Hyperbolic Equations with Measures as Initial Conditions |
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| YUAN Hong-jun,YAN Han,TONG Li-ning.Existence of BV Solutions for a Class of Systems of Quasilinear Hyperbolic Equations with Measures as Initial Conditions[J].Journal of Jilin University: Sci Ed,2008,46(2):167-172. |
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| Authors: | YUAN Hong-jun YAN Han TONG Li-ning |
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| Institution: | College of Mathematics, Jilin University, Changchun 130012, China |
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| Abstract: | The aim of this paper is to discuss the existence of global BV solutions for a class of systems of quasilinear hyperbolic equ
ations 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. |
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| Keywords: | systems of quasilinear hyperbolic Cauchy problem exi stence |
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