Unique continuation from a crack's tip under Neumann boundary conditions
Analysis of PDEs
2021-11-08 v2
Abstract
We derive local asymptotics of solutions to second order elliptic equations at the edge of a -dimensional crack, with homogeneous Neumann boundary conditions prescribed on both sides of the crack. A combination of blow-up analysis and monotonicity arguments provides a classification of all possible asymptotic homogeneities of solutions at the crack's tip, together with a a strong unique continuation principle.
Keywords
Cite
@article{arxiv.2111.02379,
title = {Unique continuation from a crack's tip under Neumann boundary conditions},
author = {Veronica Felli and Giovanni Siclari},
journal= {arXiv preprint arXiv:2111.02379},
year = {2021}
}