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Journal of Siberian Federal University. Mathematics & Physics, 2019, Volume 12, Issue 3, Pages 317–322 DOI: https://doi.org/10.17516/1997-1397-2019-12-3-317--322
(Mi jsfu763)
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Carleman formula for the Maxwell equation in a cap type domain
Komil O. Makhmudov Department of Mechanics and Mathematics, University of Samarkand, University Boulevard, 15, Samarkand, 140104, Uzbekistan
DOI:
https://doi.org/10.17516/1997-1397-2019-12-3-317--322
Abstract:
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:
Carleman formula, scattering, elliptic complex, Green formulas, Stratton–Chu formulas, Cauchy problem.
Received: 28.01.2019 Received in revised form: 06.02.2019 Accepted: 06.03.2019
Citation:
Komil O. Makhmudov, “Carleman formula for the Maxwell equation in a cap type domain”, J. Sib. Fed. Univ. Math. Phys., 12:3 (2019), 317–322
Linking options:
https://www.mathnet.ru/eng/jsfu763 https://www.mathnet.ru/eng/jsfu/v12/i3/p317
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| Abstract page: | 1353 | | Full-text PDF : | 99 | | References: | 55 |
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