11 citations · 18 across the 10 of their papers we have counts for
10 papers
A priori estimates for general elliptic and parabolic boundary value problems over irregular domains
Maria R. Lancia, Alejandro Vélez-Santiago
We investigate the realization of a myriad of general local and nonlocal inhomogeneous elliptic and parabolic boundary value problems over classes of irregular regions. We present…
Non-autonomous semilinear fractional evolution equations: well-posedness and ultracontractivity results
Simone Creo, Maria Rosaria Lancia
We consider a time-fractional semilinear parabolic abstract Cauchy problem for a time-dependent sectorial operator which satisfies the Acquistapace-Terreni conditions. We fi…
Non-local boundary energy forms for quasidiscs: Codimension gap and approximation
Simone Creo, Michael Hinz, Maria Rosaria Lancia
We consider non-local energy forms of fractional Laplace type on quasicircles and prove that they can be approximated by similar energy forms on polygonal curves. The approximation…
Dynamic boundary conditions for time dependent fractional operators on extension domains
Simone Creo, Maria Rosaria Lancia
We consider a parabolic semilinear non-autonomous problem for a fractional time dependent operator with Wentzell-type boundary conditions in a po…
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…
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…