Global propagation of analyticity and unique continuation for semilinear conservative PDEs

arXiv (Cornell University) 2026 Preprint Open access

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Authors: Camille Laurent, Cristóbal Loyola
DOI: 10.48550/arxiv.2602.11240
Cited by: 0

Abstract

We review some recent results in which we develop a new method for proving global unique continuation for some conservative PDEs. The main tool is to prove some global propagation of analyticity. We first present some known results on the subject. Then, we sketch the abstract method we use, which relies on the property of finite determining modes. We give applications to semilinear wave, plates and Schr\''odinger equations. This note was written for the \emph{Proceedings of the Journ{é}es EDP 2025}.

Fields of Study & Subjects

Advanced Mathematical Physics Problems Stability and Controllability of Differential Equations Differential Equations and Boundary Problems

Publication details

Journal / source
arXiv (Cornell University)
Publication date
11 February 2026
Language
EN
Document type
Preprint