管艳.一类拟线性双曲型方程组经典解的整体存在性Ⅰ[J].数学年刊A辑,2010,31(2):161~172
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 Systems Ⅰ
  
DOI:
中文关键词:  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
英文关键词:Cauchy problem  Null condition  Global existence  Linear elasto dynamic operator  Quasilinear hyperbolic system
基金项目:上海市自然科学基金,上海师范大学基金
Author NameAffiliationE-mail
GUAN Yan Mathematics and Science College, Shanghai Normal University, Shanghai 200234, China
School of Mathematical Sciences, Fudan University, Shanghai 200433, China. 
gypyly@yahoo.cn 
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中文摘要:
      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.
英文摘要:
      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.
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