Mother operators and their descendants

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:403

Article

Picard, Rainer

关键词: Evolutionary equations;    Material laws;    Co-variant derivative;    Acoustics;    Electrodynamics;   

DOI  :  10.1016/j.jmaa.2013.02.004

来源: Elsevier

【 摘 要 】

A mechanism deriving new well-posed evolutionary equations from given ones is inspected. It turns out that, there is one particular spatial operator from which many of the standard evolutionary problems of mathematical physics can be generated by this abstract mechanism using suitable projections. The complexity of the dynamics of the phenomena considered can be described in terms of suitable material laws. The idea is illustrated with a number of concrete examples. (C) 2013 Elsevier Inc. All rights reserved.

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