In this paper we study a transmission problem with a fractal interface , where a second order transmission condition is imposed. We consider the case in which the interface is the Koch curve and we prove existence and uniqueness of the weak solution of the problem in , a suitable ”energy space”. The link between the variational formulation and the problem is possible once we recover a version of the Gauss-Green formula for fractal boundaries, hence a definition of ”normal derivative”.
Cite this article
Maria Rosaria Lancia, A Transmission Problem with a Fractal Interface. Z. Anal. Anwend. 21 (2002), no. 1, pp. 113–133DOI 10.4171/ZAA/1067