一维完全非线性波动方程的一个注记  

A Note on One-Dimension Fully Nonlinear Wave Equations

作　　者：薛欣欣 查冬兵 

机构地区：[1]东华大学理学院数学系,上海

出　　处：《理论数学》2023年第3期644-648,共5页Pure Mathematics

摘　　要：本文研究满足零条件的一维完全非线性波动方程的 Cauchy 问题,通过将一维完全非线性波动方程化为一维拟线性波动方程组,利用拟线性情形的结论,我们证明了小初值经典解的整体存在性。In this paper, we study the Cauchy problem of one-dimension fully nonlinear wave equations with null condition, by transforming the one-dimension fully nonlinear wave equation to a system of one-dimension quasilinear wave equations, and using the result in the quasilinear case, we show the global existence of classical solution with small initial data.

关 键 词：一维完全非线性波动方程 Cauchy 问题 零条件 小初值 整体存在性 

分 类 号：O17[理学—数学]