Oscillatory free boundary problems in stochastic materials (Preprint)

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Type: Preprint
National /International: International
Title: Oscillatory free boundary problems in stochastic materials
Publication Date: 2024-03-29
Authors: - Damião J. Araújo
- Ginaldo S. Sá
- Eduardo V. Teixeira
- José Miguel Urbano
Abstract:

We investigate a class of free boundary problems with oscillatory singularities within stochastic materials. Our main result yields sharp regularity estimates along the free boundary, provided the power of the singularity varies in a Dini-continuous fashion below a certain threshold. We also reveal an interesting repelling estimate preventing the free boundary from touching the region where the singularity power oscillates above the threshold.

Institution: DMUC 24-20
Online version: http://www.mat.uc.pt...prints/eng_2024.html
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