Geodesic
The Carleman formula for the Maxwell’s equations on a~plane
Sibirskie èlektronnye matematičeskie izvestiâ, Tome 5 (2008), pp. 448-455.

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We consider the Cauchy problem for second-order elliptic equations in an arbitrary bounded planar domain with Cauchy data only on a part of the boundary of the domain. We derive a Carleman-type formula for a solution to this problem and give a conditional stability estimate. Then the result is applied to Maxwell's system.
Keywords: Cauchy problem, second-order elliptic equations, Maxwell's system.
Mots-clés : Carleman formula 
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È. V. Arbuzov; A. L. Bukhgeim. The Carleman formula for the Maxwell’s equations on a~plane. Sibirskie èlektronnye matematičeskie izvestiâ, Tome 5 (2008), pp. 448-455. http://geodesic.mathdoc.fr/item/SEMR_2008_5_a39/

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