Diffusion over ramified domains: solvability and fine regularity

Kevin Silva-Pérez, Alejandro Vélez-Santiago

We consider a domain $\hat{I}\text{c◯}\subseteq {\mathbb{R}}^2$ with branched fractal boundary $\hat{I}{“}^{\infty }$ and parameter $\ddot{I}„\in [1/2,\ddot{I}{„}^{\ast }]$ introduced by Achdou and Tchou \cite{ACH08},…