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

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.