Equations of Maxwell type |
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| Authors: | KO Makhmudov |
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| Institution: | a Department of Mechanics and Mathematics, University of Samarkand, University Boulevard 15, 703004 Samarkand, Uzbekistan
b Institute of Mathematics, University of Potsdam, Am Neuen Palais 10, 14469 Potsdam, Germany |
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| Abstract: | For an elliptic complex of first order differential operators on a smooth manifold X, we define a system of two equations which can be thought of as abstract Maxwell equations. The formal theory of this system proves to be very similar to that of classical Maxwell's equations. The paper focuses on boundary value problems for the abstract Maxwell equations, especially on the Cauchy problem. |
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| Keywords: | Electromagnetic waves Scattering Elliptic complex Green formulas Stratton-Chu formulas Cauchy problem |
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