Global estimates of fundamental solutions for higher-order Schrödinger equations

被引：0
|
作者：
JinMyong Kim
Anton Arnold
Xiaohua Yao
机构：
[1] Technische Universität Wien,Institut für Analysis und Scientific Computing
[2] Kim Il Sung University,Department of Mathematics
[3] Technische Universität Wien,Institut für Analysis und Scientific Computing
[4] Central China Normal University,Department of Mathematics
来源：
Monatshefte für Mathematik | 2012年 / 168卷
关键词：
Oscillatory integral; Higher-order Schrödinger equation; Fundamental solution estimate; 42B20; 42B37; 35Q41; 35B65;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
In this paper we first establish global pointwise time-space estimates of the fundamental solution for Schrödinger equations, where the symbol of the spatial operator is a real non-degenerate elliptic polynomial. Then we use such estimates to establish related Lp–Lq estimates on the Schrödinger solution. These estimates extend known results from the literature and are sharp. This result was lately already generalized to a degenerate case (cf. [4]).
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页码：253 / 266
页数：13
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