Harmonic Deformation of Planar Curves

Eleutherius Symeonidis

International Journal of Mathematics and Mathematical Sciences, 2011, vol. 2011, 1-10

Abstract:

We establish a principle of deformation of an arbitrary planar curve, so that the integral of a harmonic function over this curve does not change. The equations of deformation can be derived from a specific “potential.” Several applications are presented.

Date: 2011
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:141209

DOI: 10.1155/2011/141209

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