Geodesic
Carleman formula for the Maxwell equation in a cap type domain
Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika, Tome 12 (2019) no. 3, pp. 317-322

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We consider a Cauchy problem for the Maxwell equations in a cap type domain $\mathcal{X}$ in $\mathbb{R}^3$. We find reasonable solvability conditions and a Carleman formula for its solution.
Keywords: scattering, elliptic complex, Green formulas, Stratton–Chu formulas, Cauchy problem.
Mots-clés : Carleman formula 
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     author = {Komil O. Makhmudov},
     title = {Carleman formula for the {Maxwell} equation in a cap type domain},
     journal = {\v{Z}urnal Sibirskogo federalʹnogo universiteta. Matematika i fizika},
     pages = {317--322},
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     year = {2019},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/JSFU_2019_12_3_a5/}
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Komil O. Makhmudov. Carleman formula for the Maxwell equation in a cap type domain. Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika, Tome 12 (2019) no. 3, pp. 317-322. http://geodesic.mathdoc.fr/item/JSFU_2019_12_3_a5/