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

被引：0

作者：

Tanaka, Tomoyuki ^{[1
]}

Tsugawa, Kotaro ^{[2
]}

机构：

[1] Nagoya Univ, Grad Sch Math, Chikusa Ku, Nagoya, Aichi 4648602, Japan

[2] Chuo Univ, Fac Sci & Engn, Dept Math, Bunkyo Ku, Tokyo 1128551, Japan

来源：

OSAKA JOURNAL OF MATHEMATICS | 2022年 / 59卷 / 02期

关键词：

INITIAL-VALUE PROBLEM; CAUCHY-PROBLEM;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we consider the Cauchy problem of a class of higher order Schrodinger 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.

引用

页码：465 / 480

页数：16

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