含时变有效阻尼半线性波动方程爆破解的尖锐生命期估计
偏微分方程分析
2021-12-14 v2
摘要
我们考虑含时变有效阻尼的半线性波动方程的初值问题。关注点在于从阻尼当 时的渐近轮廓来看解的生命期行为。本文的结果是针对一般时变阻尼（包括有效阻尼与过阻尼之间的阈值情形）爆破解的尖锐生命期估计。
引用
@article{arxiv.1808.06189,
title = {Sharp lifespan estimates of blowup solutions to semilinear wave equations with time-dependent effective damping},
author = {Masahiro Ikeda and Motohiro Sobajima and Yuta Wakasugi},
journal= {arXiv preprint arXiv:1808.06189},
year = {2021}
}
备注
20 pages, typos are corrected, references are updated, to appear in J. Hyperbolic Differ. Equ