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

Department of Applied Mathematics

Research output: Contribution to journal › Article › peer-review

4 Scopus citations

Abstract

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.

Original language	English
Pages (from-to)	4461-4473
Number of pages	13
Journal	Proceedings of the American Mathematical Society
Volume	151
Issue number	10
DOIs	https://doi.org/10.1090/proc/16455
State	Published - 1 Oct 2023

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title = "REMARKS ON THE ANISOTROPIC CALDER{\'O}N PROBLEM",

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.",

author = "Carstea, {Cǎtǎlin I.} and Ali Feizmohammadi and Lauri Oksanen",

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AU - Feizmohammadi, Ali

AU - Oksanen, Lauri

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N2 - 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.

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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JF - Proceedings of the American Mathematical Society

IS - 10

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REMARKS ON THE ANISOTROPIC CALDERÓN PROBLEM

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