11 citations · 11 across the 4 of their papers we have counts for
4 papers
Magnetostatic problems in fractal domains
Simone Creo, Maria Rosaria Lancia, Paola Vernole +2
We consider a magnetostatic problem in a 3D "cylindrical" domain of Koch type. We prove existence and uniqueness results for both the fractal and pre-fractal problems and we invest…
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.
Fractal snowflake domain diffusion with boundary and interior drifts
Michael Hinz, Maria Rosaria Lancia, Alexander Teplyaev +1
We study a parabolic Ventsell problem for a second order differential operator in divergence form and with interior and boundary drift terms on the snowflake domain. We prove that…