论文标题

Strichartz的估计和爆炸稳定性关键非线性波方程

Strichartz estimates and Blowup stability for energy critical nonlinear wave equations

论文作者

Wallauch, David

论文摘要

我们证明了径向波方程的相似性坐标估计值,在尺寸上具有相似电位$ d \ geq 3 $。作为这些应用,我们以$ 3 \ leq d \ leq 6 $的价格建立了能量临界径向非线性波方程的ODE爆炸曲线的渐近稳定性。

We prove Strichartz estimates in similarity coordinates for the radial wave equation with a self similar potential in dimensions $d\geq 3$. As an application of these, we establish the asymptotic stability of the ODE blowup profile of the energy critical radial nonlinear wave equation for $3\leq d\leq 6$.

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