论文标题
具有恒定系数的高阶schrödinger类型方程的适合性和抛物线平滑效果
Well-posedness and parabolic smoothing effect for higher order Schrödinger type equations with constant coefficients
论文作者
论文摘要
我们考虑了具有恒定系数的一类高阶Schrödinger类型方程的库奇问题。通过采用能量不平等，我们显示了$ l^2 $适当的性，抛物线疗法平滑和规律性持久性的细分。我们根据其平滑属性将此等方程式分为三种类型。
We consider the Cauchy problem of a class of higher order Schrödinger type equations with constant coefficients. By employing the energy inequality, we show the $L^2$ well-posedness, the parabolic smoothing and a breakdown of the persistence of regularity. We classify this class of equations into three types on the basis of their smoothing property.
