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.

引用

页码：289 / 301

页数：13

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