2 papers
math.AP2017
Nonlocal Venttsel' diffusion in fractal-type domains: regularity results and numerical approximation
Massimo Cefalo, Simone Creo, Maria Rosaria Lancia +1
We study a nonlocal Venttsel' problem in a non-convex bounded domain with a Koch-type boundary. Regularity results of the strict solution are proved in weighted Sobolev spaces. The…
math.AP2017
On two-dimensional nonlocal Venttsel' problems in piecewise smooth domains
Simone Creo, Maria Rosaria Lancia, Alexander Nazarov +1
We establish the regularity results for solutions of nonlocal Venttsel' problems in polygonal and piecewise smooth two-dimensional domains.