Zeitschrift für Analysis und ihre Anwendungen

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Volume 23, Issue 1, 2004, pp. 115–137
DOI: 10.4171/ZAA/1190

Published online: 2004-03-31

Energy Form on a Closed Fractal Curve

Uta R. Freiberg[1] and Maria Rosaria Lancia[2]

(1) Friedrich-Schiller-Universität Jena, Germany
(2) Università di Roma La Sapienza, Italy

The energy form on a closed fractal curve F is constructed. As F is neither self-similar nor nested, it is regarded as a "fractal manifold". The energy is obtained by integrating the Lagrangian on F.s.

Keywords: Dirichlet form, Lagrangian, non self-similar fractals

Freiberg Uta, Lancia Maria Rosaria: Energy Form on a Closed Fractal Curve. Z. Anal. Anwend. 23 (2004), 115-137. doi: 10.4171/ZAA/1190