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- W4289446329 abstract "We consider the issues of stability and reconstruction of the electrical anisotropic conductivity of biological tissues in a domain $Omegasubsetmathbb{R}^3$ by means of the hybrid inverse problem of magneto-acoustic tomography with magnetic induction (MAT-MI). The class of anisotropic conductivities considered here is of type $sigma(cdot)=A(cdot,gamma(cdot))$ in $Omega$, where $[lambda^{-1}, lambda]ni tmapsto A(cdot, t)$ is a one-parameter family of matrix-valued functions which are textit{a-priori} known to be $C^{1,beta}$, allowing us to stably reconstruct $gamma$ in $Omega$ in terms of an internal functional $F(sigma)$. Our results also extend previous results in MAT-MI where $sigma(cdot) = gamma(cdot) D(cdot)$, with $D$ an textit{a-priori} known matrix-valued function on $Omega$ to a more general anisotropic structure which depends non-linearly on the scalar function $gamma$ to be reconstructed." @default.
- W4289446329 created "2022-08-02" @default.
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- W4289446329 date "2022-07-29" @default.
- W4289446329 modified "2023-09-26" @default.
- W4289446329 title "Stability and reconstruction of a special type of anisotropic conductivity in magneto-acoustic tomography with magnetic induction" @default.
- W4289446329 doi "https://doi.org/10.48550/arxiv.2207.14613" @default.
- W4289446329 hasPublicationYear "2022" @default.
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