Microlocal partition of energy for linear wave or Schrodinger equations

被引：2
|
作者：
Delort, Jean -Marc [1 ]
机构：
[1] Univ Paris XIII Sorbonne Paris Nord, Dept Math, Villetaneuse, France
来源：
TUNISIAN JOURNAL OF MATHEMATICS | 2022年 / 4卷 / 02期
基金：
美国国家科学基金会;
关键词：
wave equation; Schr?dinger equation; channels of energy; microlocal analysis;
D O I：
10.2140/tunis.2022.4.329
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We prove a microlocal partition of energy for solutions to linear half-wave or Schrodinger equations in any space dimension. This extends well-known (local) results valid for the wave equation outside the wave cone, and allows us in particular, in the case of even dimension, to generalize the radial estimates due to Cote, Kenig and Schlag to nonradial initial data.
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页码：329 / 385
页数：58
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