一维空间中超出非线性波动方程一般理论的联合效应
偏微分方程分析
2023-08-03 v4
摘要
本文中，我们展示了半线性波动方程在一维空间中两类不同非线性项的所谓“联合效应”。这一特殊现象仅出现在初速度总积分为零的情形。值得注意的是，包含联合效应情形在内，我们在寿命估计上的结果部分优于非线性波动方程一般理论的结果。
引用
@article{arxiv.2205.07198,
title = {The combined effect in one space dimension beyond the general theory for nonlinear wave equations},
author = {Katsuaki Morisawa and Takiko Sasaki and Hiroyuki Takamura},
journal= {arXiv preprint arXiv:2205.07198},
year = {2023}
}
备注
This version is already published in the publication in the journal, Communications on Pure and Applied Analysis. But it has an error in the citation on the result of the general theory in Introduction, which is related not to our resuts but to the title of this paper. So we place here its erratum at the end of this paper