3 papers
math.AP2026
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…
math.AP2025
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…
math.FA2025
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…