Equations of Maxwell Type

2009/10/07 by K. O. Makhmudov, Makhmudov, K. O., О. И. Махмудов +5
Engineering · Mathematics · Physics and Astronomy · #Electromagnetic Scattering and Analysis #Electromagnetic Simulation and Numerical Methods #Numerical methods in inverse problems #math.AP #msc:35Cxx #msc:35Q60

paper · pdf · doi:10.48550/arxiv.0910.1224

17 pages, 1 figure

arxiv created 2009/10/07 · arxiv updated 2009/12/01

Abstract

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.

Related

• Die Maxwellgleichung mit wechselnden Randbedingungen (The Maxwell Equation with Mixed Boundary Conditions)
• A note on time-harmonic Maxwell equations on Riemannian manifolds
• Maxwell's Equations with Scalar Impedance: Direct and Inverse Problems
• The inverse problem for a class of implicit differential equations and the coisotropic embedding theorem
• Maxwell's Equations in Complex Variables