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arXiv · 2001.10940

Stability inequality for a semilinear elliptic inverse problem

Mourad Choulli·Guanghui Hu·Masahiro Yamamoto
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Abstract

We establish a logarithmic stability inequality for the inverse problem of determining the non linear term, appearing in a semilinear BVP, from the corresponding Dirichlet-to-Neumann map (abbreviated to DtN map in the rest of this text). Our result can be seen as a stability inequality for an earlier uniqueness result by Isakov and Sylvester [Commun. Pure Appl. Math. 47 (1994), 1403-1410].

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Mourad Choulli, Guanghui Hu, Masahiro Yamamoto. 2020-01-29. Stability inequality for a semilinear elliptic inverse problem. https://arxiv.org/abs/2001.10940

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