Abstract. This paper proposes an approach to the analysis of the electromagnetic continuity differential equation of the Maxwell equations. Solutions through dyadic harmonic wavelets at different levels of resolution are presented. Wavelets approach, through their different space-time levels of resolution, can favorably describe the segmented space structure of some kinds of technical applications.

Received: October 12, 2012

AMS Subject Classification: 65T60, 42B37, 35Q61

Key Words and Phrases: wavelets, harmonic analysis, Maxwell equations

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