具散射阻尼与负质量项的半线性波动方程的类波爆破
偏微分方程分析
2021-01-19 v3
摘要
在本文中，我们针对具散射阻尼与负质量项的半线性波动方程，在次临界幂次下建立了爆破结果与寿命估计，该次临界幂次与无质量项的相应问题相同，亦与无阻尼和无质量项的相应问题相同。为此，由于阻尼与质量项的存在，除了一个关键乘子外，我们还必须两次使用比较论证。最后，我们通过迭代论证得到了期望的结果。
引用
@article{arxiv.1804.11073,
title = {Wave-like blow-up for semilinear wave equations with scattering damping and negative mass term},
author = {Ning-An Lai and Nico Michele Schiavone and Hiroyuki Takamura},
journal= {arXiv preprint arXiv:1804.11073},
year = {2021}
}
备注
20 pages. The last equation in Introduction of the first version has a typo. Its was trivial but revised. "mass" in the title of the second version is replaced with "mass term"