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Harmonic Deformation of Planar Curves.

Authors :
Symeonidis, Eleutherius
Source :
International Journal of Mathematics & Mathematical Sciences; 2011, p1-10, 10p
Publication Year :
2011

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. [ABSTRACT FROM AUTHOR]

Subjects

Subjects :
HARMONIC functions
EQUATIONS
SET theory
CURVES
NUMERICAL analysis
MATHEMATICS

Details

Language :
English
ISSN :
01611712
Database :
Complementary Index
Journal :
International Journal of Mathematics & Mathematical Sciences
Publication Type :
Academic Journal
Accession number :
71101017
Full Text :
https://doi.org/10.1155/2011/141209
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