Energy Form on a Closed Fractal Curve

  • Uta R. Freiberg

    Friedrich-Schiller-Universität Jena, Germany
  • Maria Rosaria Lancia

    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.

Cite this article

Uta R. Freiberg, Maria Rosaria Lancia, Energy Form on a Closed Fractal Curve. Z. Anal. Anwend. 23 (2004), no. 1, pp. 115–137

DOI 10.4171/ZAA/1190