一类拟线性双曲方程以测度为初值的BV解

一类拟线性双曲方程以测度为初值的BV解

王小炎¹,², 袁洪君², 佟丽宁²

1. 广西工学院信息与计算科学系, 广西壮族自治区柳州 545006; 2. 吉林大学数学学院, 长春 130012

收稿日期:2006-06-07 修回日期:1900-01-01 出版日期:2007-03-26 发布日期:2007-03-26
通讯作者: 佟丽宁

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

ANG Xiaoyan¹,², YUAN Hongjun², TONG Lining²

1. Department of Information and Computer Science, Guangxi University of Technology, Liuzhou 545006, Guangxi Zhuang Autonomous Region, China; 2. College of Mathematics, Jilin University, Changchun 130012, China

Received:2006-06-07 Revised:1900-01-01 Online:2007-03-26 Published:2007-03-26
Contact: TONG Lining

摘要/Abstract

摘要： 讨论一类拟线性双曲方程的BV解, 给出了当0

关键词: 存在性和惟一性, Cauchy问题, 拟线性双曲方程

Abstract: The present paper deals with BV solutions for a class of quasilinear hyperbolic equations. The existence and uniqueness of local BV solutions are obtained in the case of 0

Key words: existence and uniqueness, Cauchy problem, quasilinear hyperbolic equation

中图分类号:

O175.2

王小炎,, 袁洪君, 佟丽宁. 一类拟线性双曲方程以测度为初值的BV解[J]. J4, 2007, 45(02): 179-186.

ANG Xiaoyan,, YUAN Hongjun, TONG Lining. BV Solutions for a Class of Quasilinear Hyperbolic Equationswith Measures as Initial Conditions[J]. J4, 2007, 45(02): 179-186.

[1]	赵彦霞, 杨和. Banach空间中分数阶脉冲积-微分方程的e指数型Ulam-Hyers稳定性[J]. 吉林大学学报(理学版), 2020, 58(5): 1055-1065.
[2]	马云云, 马富明. 求解半空间中Helmholtz方程Cauchy问题的投影法[J]. J4, 2012, 50(02): 157-166.
[3]	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]. J4, 2008, 46(02): 167-172.
[4]	周文书，蔡守峰. 一类非散度型非线性抛物方程组Cauchy问题解的性质[J]. J4, 2005, 43(04): 402-406.
[5]	袁洪君, 许孝精. 一阶拟线性方程以测度为初值的BV解[J]. J4, 2004, 42(03): 380-386.