A strong unique continuation property for weakly coupled elliptic systems
Analysis of PDEs
2024-10-29 v2
Abstract
We establish the validity of a strong unique continuation property for weakly coupled elliptic systems, including competitive ones. Our proof exploits the system structure and uses Carleman estimates. We apply this result to obtain some nonexistence results for critical systems.
Cite
@article{arxiv.2401.04041,
title = {A strong unique continuation property for weakly coupled elliptic systems},
author = {Mónica Clapp and Víctor Hernández-Santamaría and Alberto Saldaña},
journal= {arXiv preprint arXiv:2401.04041},
year = {2024}
}
Comments
Improves the previous version and adds a remark concerning Open Question 1.7