| 一类变系数非线性波方程弱解的存在性 |
| |
| 引用本文： | 郭娇娇.一类变系数非线性波方程弱解的存在性[J].太原师范学院学报(自然科学版),2013(2):44-46. |
| |
| 作者姓名： | 郭娇娇 |
| |
| 作者单位： | 山西大学数学科学学院,山西太原030006 |
| |
| 摘 要： | 文章主要用迦辽金逼近和能量估计法,证明带有变系数项div(a(x)u)的非线性波方程{utt-div(a(x)▽u)=f in UT u=g,ut=h on U×{T=0} u=0 on U×0,T]在uT=ux0,T]上弱解的存在性.
|
| 关 键 词： | 非线性波方程 迦辽金逼近方法 变系数 弱解 |
Existence of Weak Solutions of a Class of Variable Coefficient Nonlinear Wave Equations |
| |
| Guo Jiaojiao.Existence of Weak Solutions of a Class of Variable Coefficient Nonlinear Wave Equations[J].Journal of Taiyuan Normal University:Natural Science Edition,2013(2):44-46. |
| |
| Authors: | Guo Jiaojiao |
| |
| Institution: | Guo Jiaojiao (School of Mathematical Sciences,Shanxi University,Taiyuan 030006, China) |
| |
| Abstract: | With Galerkin＇s method and energy estimates＇s method, prove the existence ofweak solutions in the UT=U×0, T] of the nonlinear wave equation{utt-div（a（x）▽u）=f in UT u=g,ut=h on U×{T=0} u=0 on U×0,T]with a class of variable coefficient term like div（a（z）▽u）. |
| |
| Keywords: | nonlinear wave equations Galerkin＇s mathod variable coefficient weak solu- tions |
| 本文献已被 CNKI 维普 等数据库收录！ |
|
