一类拟线性双曲型方程组经典解的整体存在性Ⅰ  

Global Existence of Classical Solutions to a Kind of Quasilinear Hyperbolic SystemsⅠ

作　　者：管艳[1,2] 

机构地区：[1]上海师范大学数理学院,上海200234 [2]复旦大学数学科学学院,上海200433

出　　处：《数学年刊（A辑）》2010年第2期161-172,共12页Chinese Annals of Mathematics

基　　金：上海市自然科学基金(No.08ZR1415900);上海师范大学基金(No.SK200930)资助的项目

摘　　要：讨论了一类以线性弹性动力学方程组为主部,而非线性项含有u的一次幂时的拟线性双曲型方程组Cauchy问题经典解的整体存在性.This paper deals with the global existence of classical solutions to a kind of second order quasilinear hyperbolic systems, subject to a null condition, with the linear elastodynamic system as its principal part and the nonlinear terms depending on the product of u and its derivatives.

关 键 词：CAUCHY问题 零条件 整体存在 线性弹性算子 拟线性双曲型方程组 

分 类 号：O175.27[理学—数学] O343.5[理学—基础数学]