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Volume 6, Issue 4
On Inversion of Permitivity, Permeability and Conductivity

Zheng Jiamao, Wang Yuanming

J. Part. Diff. Eq.,6(1993),pp.314-326

Published online: 1993-06

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  • Abstract
In this paper, the invecsion or coefficients permitivity ε, permeability μ and conductivity σ in Maxwell system is discussed. Under some smoothness conditions, we have proved the existence, uniqueness and extension theorems of the local solution to the inverse problem by means of an equivalent integral system. Stability, well-posed property of the solution and the property of the solution at the end point or the largest existence interval are also researched.
  • Keywords

Inverse problem Maxwell system largest existence interval wellposed property

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@Article{JPDE-6-314, author = {Zheng Jiamao, Wang Yuanming}, title = {On Inversion of Permitivity, Permeability and Conductivity}, journal = {Journal of Partial Differential Equations}, year = {1993}, volume = {6}, number = {4}, pages = {314--326}, abstract = { In this paper, the invecsion or coefficients permitivity ε, permeability μ and conductivity σ in Maxwell system is discussed. Under some smoothness conditions, we have proved the existence, uniqueness and extension theorems of the local solution to the inverse problem by means of an equivalent integral system. Stability, well-posed property of the solution and the property of the solution at the end point or the largest existence interval are also researched.}, issn = {2079-732X}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/jpde/5718.html} }
TY - JOUR T1 - On Inversion of Permitivity, Permeability and Conductivity AU - Zheng Jiamao, Wang Yuanming JO - Journal of Partial Differential Equations VL - 4 SP - 314 EP - 326 PY - 1993 DA - 1993/06 SN - 6 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/jpde/5718.html KW - Inverse problem KW - Maxwell system KW - largest existence interval KW - wellposed property AB - In this paper, the invecsion or coefficients permitivity ε, permeability μ and conductivity σ in Maxwell system is discussed. Under some smoothness conditions, we have proved the existence, uniqueness and extension theorems of the local solution to the inverse problem by means of an equivalent integral system. Stability, well-posed property of the solution and the property of the solution at the end point or the largest existence interval are also researched.
Zheng Jiamao, Wang Yuanming. (1993). On Inversion of Permitivity, Permeability and Conductivity. Journal of Partial Differential Equations. 6 (4). 314-326. doi:
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