Published Paper

Inserted: 18 nov 2025
Last Updated: 18 nov 2025

Volume: 264
Year: 2025
Doi: https://doi.org/10.1016/j.na.2025.114006

Abstract:

In the present paper, which aims at representing an improvement of De Luca and Felli (2021), we prove the validity of the strong unique continuation property for solutions to some second order elliptic equations from the edge of a crack via a description of their local behaviour. In particular we relax the star-shapedness condition on the complement of the crack considered in De Luca and Felli (2021) by applying a suitable diffeomorphism which straightens the boundary of the crack before performing an approximation of the fractured domain needed to derive a monotonicity formula