12 citations · 19 across the 5 of their papers we have counts for
5 papers
A note on geometric assumptions for unique continuation from the edge of a crack
Alessandra De Luca
The present paper aims at representing an improvement of the result in [2], where a strong unique continuation property and a description of the local behaviour around the edge of…
Unique continuation from conical boundary points for fractional equations
Alessandra De Luca, Veronica Felli, Stefano Vita
We provide fine asymptotics of solutions of fractional elliptic equations at boundary points where the domain is locally conical; that is, corner type singularities appear. Our met…
Layered patterns in reaction-diffusion models with Perona-Malik diffusions
Alessandra De Luca, Raffaele Folino, Marta Strani
In this paper we deal with a reaction-diffusion equation in a bounded interval of the real line with a nonlinear diffusion of Perona-Malik's type and a balanced bistable reaction t…
Strong unique continuation from the boundary for the spectral fractional Laplacian
Alessandra De Luca, Veronica Felli, Giovanni Siclari
We investigate unique continuation properties and asymptotic behaviour at boundary points for solutions to a class of elliptic equations involving the spectral fractional Laplacian…
Strong unique continuation and local asymptotics at the boundary for fractional elliptic equations
Alessandra De Luca, Veronica Felli, Stefano Vita
We study local asymptotics of solutions to fractional elliptic equations at boundary points, under some outer homogeneous Dirichlet boundary condition. Our analysis is based on a b…