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An initial-boundary value problem for the Maxwell equations |
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| Authors: | Piwen Yang Shuo Yang |
| Affiliation: | a Department of Mathematics, Sichuan Normal University, Chengdu 610066, PR China b Department of Mathematics, Sichuan University, Chengdu 610064, PR China c School of Applied Mathematics, University of Electric Science and Technology of China, Chengdu 610054, PR China |
| Abstract: | In this paper, by using methods from complex analysis and quaternionic analysis, we investigate an initial-boundary value problem for the Maxwell equations and obtain the general solutions and solvable conditions of the problem respectively in different cases. In addition, by using a similar method, we also discuss an initial-boundary value problem for a hyperbolic complex system of first order equations in R3. |
| Keywords: | Quasi-quaternion algebra Maxwell equations Initial-boundary value problem |
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