Regularity near the fixed boundary for transmission systems

Alessio Figalli, Somayeh Khademloo, Sunghan Kim +1

Given $\Omega \subset {\mathbb{R}}^n$ with $n\ge 2$, $D\subset \Omega$ open, and $u:\Omega \to {\mathbb{R}}^m$, we study elliptic systems of the type $$ {\rm div} \big( ( A + (B- A)χ_D)\nabla u\big) =…