ON MEASURE-PRESERVING SELECTION OF SOLUTIONS OF ODES

被引：0

作者：

Pappalettera, Umberto ^{[1
]}

机构：

[1] Univ Bielefeld, Fak Math, D-33501 Bielefeld, Germany

来源：

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 2025年 / 153卷 / 05期

基金：

欧洲研究理事会;

关键词：

D O I：

10.1090/proc/17097

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

For every k is an element of N and alpha is an element of (0,1) we construct a divergence-free u is an element of Ck([0, T], C alpha(Td, Rd)), d >= 2, such that there is no measurable selection of solutions of the ODE (center dot)Xt = u(t, Xt) that preserves the Lebesgue measure.

引用

页码：2037 / 2051

页数：15

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