REMARKS ON THE ANISOTROPIC CALDERÓN PROBLEM

Cǎtǎlin I. Carstea; Ali Feizmohammadi; Lauri Oksanen

doi:10.1090/proc/16455

REMARKS ON THE ANISOTROPIC CALDERÓN PROBLEM

Cǎtǎlin I. Carstea, Ali Feizmohammadi, Lauri Oksanen

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研究成果: Article › 同行評審

5 引文斯高帕斯（Scopus）

摘要

We show uniqueness results for the anisotropic Calderón problem stated on transversally anisotropic manifolds. Moreover, we give a convexity result for the range of Dirichlet-to-Neumann maps on Riemannian manifolds near the zero potential. Finally, we present results for Calderón type inverse problems associated to semilinear elliptic equations on Riemannian manifolds.

原文	English
頁（從 - 到）	4461-4473
頁數	13
期刊	Proceedings of the American Mathematical Society
卷	151
發行號	10
DOIs	https://doi.org/10.1090/proc/16455
出版狀態	Published - 1 10月 2023

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10.1090/proc/16455

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abstract = "We show uniqueness results for the anisotropic Calder{\'o}n problem stated on transversally anisotropic manifolds. Moreover, we give a convexity result for the range of Dirichlet-to-Neumann maps on Riemannian manifolds near the zero potential. Finally, we present results for Calder{\'o}n type inverse problems associated to semilinear elliptic equations on Riemannian manifolds.",

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AU - Oksanen, Lauri

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AB - We show uniqueness results for the anisotropic Calderón problem stated on transversally anisotropic manifolds. Moreover, we give a convexity result for the range of Dirichlet-to-Neumann maps on Riemannian manifolds near the zero potential. Finally, we present results for Calderón type inverse problems associated to semilinear elliptic equations on Riemannian manifolds.

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REMARKS ON THE ANISOTROPIC CALDERÓN PROBLEM

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