Comments on the quantitative uniqueness of continuation for evolution equations

Fuente: arXiv
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Autore principale: Choulli, Mourad
Natura: Preprint
Pubblicazione: 2024
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author Choulli, Mourad
author_facet Choulli, Mourad
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_2403_09564
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Comments on the quantitative uniqueness of continuation for evolution equations
Choulli, Mourad
Analysis of PDEs
35K05, 35L05, 35R25
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.
title Comments on the quantitative uniqueness of continuation for evolution equations
topic Analysis of PDEs
35K05, 35L05, 35R25
url https://arxiv.org/abs/2403.09564