Equations of Maxwell Type
K. O. MakhmudovDepartment of Mechanics and Mathematics, University of Samarkand, University Boulevard 15, 703004 Samarkand, UzbekistanО. И. МахмудовDepartment of Mechanics and Mathematics, University of Samarkand, University Boulevard 15, 703004 Samarkand, UzbekistanНиколай ТархановInstitute of Mathematics, University of Potsdam, Am Neuen Palais 10, 14469 Potsdam, Germany
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Аннотация
For an elliptic complex of first order differential operators on a smooth manifold, 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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