AI & Computingarticle2026-10-06

New quantitative unique continuation result for elliptic equations

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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.

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View paper (DOI)Open access versionOpenAlexPartial Differential Equations and ApplicationsPublished 2026-10-06

Authors: Mourad Choulli, Hiroshi Takase

Institutions: Université de Lorraine, Okayama University