Fractal and euclidean interaction in some transmission problems

  • Maria Agostina Vivaldi Università degli Studi di Roma ”La Sapienza”
Keywords: Fractal singular homogeneization, weighted elliptic operators


In this talk some model examples of second order elliptic transmission problems with highly conductive layers will be described. Regularity and numerical results for solutions of transmission problems across fractal layers imbedded in Euclidean domains will be presented in the aim of better understanding the analytical problems which arise when fractal and Euclidean structures mutually interact.

Author Biography

Maria Agostina Vivaldi, Università degli Studi di Roma ”La Sapienza”
Dipartimento di Metodi e Modelli Matematici per le Scienze Applicate,
Via A. Scarpa 16, 00161 Roma, Italy