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arXiv · 2111.02379

Unique continuation from a crack's tip under Neumann boundary conditions

Veronica Felli·Giovanni Siclari
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Abstract

We derive local asymptotics of solutions to second order elliptic equations at the edge of a $(N-1)$-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.

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Veronica Felli, Giovanni Siclari. 2021-11-03. Unique continuation from a crack's tip under Neumann boundary conditions. https://arxiv.org/abs/2111.02379

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