Unique continuation inequalities for the Dunkl-Schrödinger equation via uncertainty principles

Fuente: arXiv
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Auteurs principaux: Zhao, Xingyu, Xu, Hui, Duan, Zhiwen
Format: Preprint
Publié: 2026
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author Zhao, Xingyu
Xu, Hui
Duan, Zhiwen
author_facet Zhao, Xingyu
Xu, Hui
Duan, Zhiwen
contents In this paper, we establish unique continuation inequalities at two time points for the Dunkl--Schrödinger equation. The proof is based on quantitative uncertainty principles for the Dunkl transform. In particular, we prove that pairs of (\varepsilon,k)-thin sets form strong annihilating pairs for the Dunkl transform, which yields quantitative unique continuation properties for solutions to the Dunkl--Schrödinger equation.
format Preprint
id arxiv_https___arxiv_org_abs_2605_18021
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle Unique continuation inequalities for the Dunkl-Schrödinger equation via uncertainty principles
Zhao, Xingyu
Xu, Hui
Duan, Zhiwen
Analysis of PDEs
In this paper, we establish unique continuation inequalities at two time points for the Dunkl--Schrödinger equation. The proof is based on quantitative uncertainty principles for the Dunkl transform. In particular, we prove that pairs of (\varepsilon,k)-thin sets form strong annihilating pairs for the Dunkl transform, which yields quantitative unique continuation properties for solutions to the Dunkl--Schrödinger equation.
title Unique continuation inequalities for the Dunkl-Schrödinger equation via uncertainty principles
topic Analysis of PDEs
url https://arxiv.org/abs/2605.18021