随机扰动下聚焦能量临界非线性波动方程的稳定爆裂
偏微分方程分析
2025-06-03 v4 数学物理
math.MP
摘要
我们考虑三维空间中的径向聚焦能量临界非线性波动方程。我们建立了能量空间以下随机扰动下 ODE 爆裂的稳定性。该论证依赖于相似坐标中的概率性 Strichartz 估计。
引用
@article{arxiv.2002.07352,
title = {Stable blowup for the focusing energy critical nonlinear wave equation under random perturbations},
author = {Bjoern Bringmann},
journal= {arXiv preprint arXiv:2002.07352},
year = {2025}
}
备注
Major revision of the paper. The main theorem remains unchanged, but the proof has been simplified significantly