6 papers · 1 filter
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…
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.