Geodesic
Nonunique continuation for the Maxwell system
Zapiski Nauchnykh Seminarov POMI, Mathematical problems in the theory of wave propagation. Part 41, Tome 393 (2011), pp. 80-100 
M. N. Demchenko. Nonunique continuation for the Maxwell system. Zapiski Nauchnykh Seminarov POMI, Mathematical problems in the theory of wave propagation. Part 41, Tome 393 (2011), pp. 80-100. http://geodesic.mathdoc.fr/item/ZNSL_2011_393_a5/
@article{ZNSL_2011_393_a5,
     author = {M. N. Demchenko},
     title = {Nonunique continuation for the {Maxwell} system},
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     year = {2011},
     volume = {393},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_2011_393_a5/}
}
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Voir la notice du chapitre de livre provenant de la source Math-Net.Ru

We give an example of the stationary Maxwell system, which has nontrivial smooth solution with compact support; the coefficients $\varepsilon,\mu$ belong to $C^\alpha$ for all $\alpha<1$. Our example shows that the stationary Maxwell system does not possess the unique continuation property in case of nonsmooth coefficients.

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