Poincar{é}-Steklov operator and Calder{ó}n's problem on extension domains

Gabriel Claret, Michael Hinz, Anna Rozanova-Pierrat

We consider Calder{ó}n's problem on a class of Sobolev extension domains containing non-Lipschitz and fractal shapes. We generalize the notion of Poincar{é}-Steklov (Dirichlet-to-N…