论文标题
平方势势势的亚临界波方程的散射理论
Scattering theory for subcritical wave equation with inverse square potential
论文作者
论文摘要
我们考虑了具有反平方势的散落能量亚临界波方程的散射理论。通过采用能量通量法，我们在光锥上建立能量通量估计。然后，通过特征线方法和辐射定理，我们表明径向有限能源溶液散布在光锥外部的自由波。然后，使用Morawetz估计，我们获得具有有限加权能量初始数据的径向溶液的散射理论。
We consider the scattering theory for the defocusing energy subcritical wave equations with an inverse square potential. By employing the energy flux method we establish energy flux estimates on the light cone. Then by the characteristic line method and radiation theorem, we show that the radial finite-energy solutions scatter to free waves outside of light cones. Using Morawetz estimates we then obtain the scattering theory for radial solutions with finite weighted energy initial data.
