具有小数据与散射阻尼的半线性波动方程因负质量项导致的短时间爆破解
偏微分方程分析
2021-01-19 v1
摘要
本文研究具有散射阻尼和负质量项的半线性波动方程在小数据柯西问题下解的爆破与寿命估计。我们表明，当负质量项系数的衰减不够快时，负质量项将起主导作用，从而解会在有限时间内爆破。此外，我们建立了从上方的寿命估计，其远短于通常的寿命估计。
引用
@article{arxiv.1905.08100,
title = {Short time blow-up by negative mass term for semilinear wave equations with small data and scattering damping},
author = {Ning-An Lai and Nico Michele Schiavone and Hiroyuki Takamura},
journal= {arXiv preprint arXiv:1905.08100},
year = {2021}
}
备注
14 pages. Accepted by a guest editor of a special volume on MSJ-SI 2018 in the journal of Advanced Studies in Pure Mathematics