TY  - JOUR
A1  - Makhmudo, K. O.
A1  - Makhmudov, O. I.
A1  - Tarkhanov, Nikolai Nikolaevich
T1  - Equations of Maxwell type
JF  - Journal of mathematical analysis and applications
N2  - 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.
KW  - Electromagnetic waves
KW  - Scattering
KW  - Elliptic complex
KW  - Green formulas
KW  - Stratton-Chu formulas
KW  - Cauchy problem
Y1  - 2011
U6  - https://doi.org/10.1016/j.jmaa.2011.01.012
SN  - 0022-247X
VL  - 378
IS  - 1
SP  - 64
EP  - 75
PB  - Elsevier
CY  - San Diego
ER  -