English

Comments on the quantitative uniqueness of continuation for evolution equations

Analysis of PDEs 2024-03-15 v1

Abstract

We establish near-optimal quantitative uniqueness of continuation for solutions of evolution equations vanishing on the lateral boundary. These results were obtained simply by combining existing observability inequalities and energy estimates.

Keywords

Cite

@article{arxiv.2403.09564,
  title  = {Comments on the quantitative uniqueness of continuation for evolution equations},
  author = {Mourad Choulli},
  journal= {arXiv preprint arXiv:2403.09564},
  year   = {2024}
}
R2 v1 2026-06-28T15:20:23.989Z