New quantitative unique continuation result for elliptic equations

We prove a new quantitative unique continuation result for elliptic equations from Cauchy data. We provide a simple and direct proof based only on a Carleman inequality. Similar result for the Stokes equation is also shown.

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Publication Details

Journal
Partial Differential Equations and Applications
Published
2026-10-06
DOI
https://doi.org/10.1007/s42985-026-00404-y
Primary Topic
Differential Equations and Boundary Problems
Type
article
Field-Weighted Citation Impact
0.00

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article

New quantitative unique continuation result for elliptic equations

Mourad Choulli, Hiroshi Takase
Partial Differential Equations and Applications
Differential Equations and Boundary Problems
article

New quantitative unique continuation result for elliptic equations

Mourad Choulli, Hiroshi Takase
article en

Abstract

We prove a new quantitative unique continuation result for elliptic equations from Cauchy data. We provide a simple and direct proof based only on a Carleman inequality. Similar result for the Stokes equation is also shown.

Partial Differential Equations and ApplicationsVol. 7(6)
Okayama University (JP), Université de Lorraine (FR)
Japan Society for the Promotion of Science
Openalex Percentile: Top 98%
Differential Equations and Boundary Problems
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