Uniqueness of continuation for semilinear elliptic equations

Mourad Choulli

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arXiv · 2208.08378

Uniqueness of continuation for semilinear elliptic equations

Mourad Choulli

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Abstract

We quantify the uniqueness of continuation from Cauchy or interior data. Our approach consists in extending the existing results in the linear case. As by product we obtain a new stability estimate in the linear case. We also show the so-called strong uniqueness of continuation and the uniqueness of continuation from a set of positive measure. These results are derived by using a linearization procedure.

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Mourad Choulli. 2022-08-17. Uniqueness of continuation for semilinear elliptic equations. https://arxiv.org/abs/2208.08378

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