2 papers
math.AP2025
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…
math.AP2024
Convergence of layer potentials and Riemann-Hilbert problem on extension domains
Gabriel Claret, Anna Rozanova-Pierrat, Alexander Teplyaev
We prove the convergence of layer potential operators for the harmonic transmission problem over a sequence of converging two-sided extension domains. Consequently, the Neumann-Poi…