WELL-POSEDNESS AND PARABOLIC SMOOTHING EFFECT FOR HIGHER ORDER SCHRÖDINGER TYPE EQUATIONS WITH CONSTANT COEFFICIENTS

WELL-POSEDNESS AND PARABOLIC SMOOTHING EFFECT FOR HIGHER ORDER SCHRÖDINGER TYPE EQUATIONS WITH CONSTANT COEFFICIENTS
复制标题

常系数高阶薛定谔型方程的适定性和抛物线平滑效应

DOI：
--
复制
发表时间：
2020
期刊：
--
影响因子：
--
通讯作者：
Tomoyuki Tanaka
Tomoyuki Tanaka
中科院分区：
--
文献类型：
--
作者：
Tomoyuki Tanaka

文献摘要

相似文献

在本文中，我们考虑一类具有常系数的高阶薛定谔型方程的柯西问题。通过利用能量不等式，我们展示了 L 适定性、抛物线平滑、扭曲抛物线平滑以及规律性持久性的崩溃。我们根据此类方程的平滑特性将其分为三种类型。
In this paper, 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 well-posedness, the parabolic smoothing, the twisted 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.