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Stable blowup for the focusing energy critical nonlinear wave equation under random perturbations
Communications in Partial Differential Equations ( IF 2.1 ) Pub Date : 2020-08-11 Bjoern Bringmann
中文翻译:
随机扰动下聚焦能量临界非线性波动方程的稳定爆破
更新日期:2020-08-11
Communications in Partial Differential Equations ( IF 2.1 ) Pub Date : 2020-08-11 Bjoern Bringmann
We consider the radial focusing energy critical nonlinear wave equation in three spatial dimensions. We establish the stability of the ODE-blowup under random perturbations below the energy space. The argument relies on probabilistic Strichartz estimates in similarity coordinates.
中文翻译:
随机扰动下聚焦能量临界非线性波动方程的稳定爆破
我们在三个空间维度上考虑径向聚焦能量临界非线性波动方程。我们在能量空间以下的随机扰动下建立了ODE爆破的稳定性。该论点依赖于相似坐标中的概率Strichartz估计。