4 papers
Regularity results for nonlocal evolution Venttsel' problems
Simone Creo, Maria Rosaria Lancia, Alexander Nazarov
We consider parabolic nonlocal Venttsel' problems in polygonal and piecewise smooth two-dimensional domains and study existence, uniqueness and regularity in (anisotropic) weighted…
Friedrichs inequality in irregular domains
S. Creo, M. R. Lancia
We prove a generalized version of Friedrichs and Gaffney inequalities for a bounded domain , , by adapting the methods of Jones to ou…
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…
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.