Zeitschrift für Analysis und ihre Anwendungen
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Published online: 2004-03-31
Energy Form on a Closed Fractal CurveUta R. Freiberg and Maria Rosaria Lancia (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