IJPAM: Volume 81, No. 3 (2012)

MULTISCALE SOLUTIONS OF THE ELECTROMAGNETIC
CONTINUITY DIFFERENTIAL EQUATION USING
PACKETS OF HARMONIC WAVELETS

Paolo Mercorelli
Institute of Product and Process Innovation
Leuphana University of Lueneburg
Volgershall 1, D-21339 Lueneburg, GERMANY


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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Source: International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395
Year: 2012
Volume: 81
Issue: 3