Improvement of the general theory for one dimensional nonlinear wave equations related to the combined effect
Improvement of the general theory for one dimensional nonlinear wave equations related to the combined effect
复制标题
与组合效应有关的一维非线性波动方程一般理论的改进
DOI：
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复制
发表时间：
2023
期刊：
影响因子：
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通讯作者：
Shunpei Takamatsu
中科院分区：
文献类型：
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作者：
Shunpei Takamatsu
本文研究了具有小初始数据的一维非线性波动方程的柯西问题的一般理论。在一般理论中，我们的目标是得到经典解寿命的下界估计。在本文中，我们在一些与综合效应有关的情况下进行了改进，这在30多年前就被期望完成了。
We focus on the general theory to the Cauchy problem for one dimensional nonlinear wave equations with small initial data. In the general theory, we aim to obtain the lower bound estimate of the lifespan of classical solution. In this paper, we improve it in some case related to the combined effect, which was expected complete more than 30 years ago.