INITIAL VALUE PROBLEMS AND FIRST BOUNDARY PROBLEMS FOR A CLASS OF QUASILINEAR WAVE EQUATIONS

被引：8
|
作者：
陈国旺
杨志坚
赵占才
机构：
[1] Department of Mathematics and Mechanics
[2] China
[3] Zhengzhou 450052
[4] Zhengzhou Institute of Technology
[5] Zhengzhou 450002
[6] Zhengzhou University
[7] Institute of Mathematics
来源：
Acta Mathematicae Applicatae Sinica | 1993年 / 04期
关键词：
Quasilinear wave equations; initial value problems and first boundary problems; Galerkin method;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
The initial value problems and the first boundary problems for the quasilinear wave equation u-[a+na(u)]u-au=0 are considered,where a,a>0 are constants,ais an arbitrary real number,n is a natural number.The existence and uniqueness of the classical solutions for the initial value problems and the first boundary problems of the equation (1) are proved by the Galerkin method.
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页码：289 / 301
页数：13
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