Quantitative convergence of the ``bulk free boundary in an oscillatory obstacle problem
From MaRDI portal
Publication:6123796
DOI10.4171/ifb/501arXiv2208.04923MaRDI QIDQ6123796
William M. Feldman, Farhan Abedin
Publication date: 8 April 2024
Published in: Interfaces and Free Boundaries (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2208.04923
Free boundary problems for PDEs (35R35) Homogenization in context of PDEs; PDEs in media with periodic structure (35B27) Unilateral problems for linear elliptic equations and variational inequalities with linear elliptic operators (35J86)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- On convergence of functionals with unilateral constraints
- Random homogenization of an obstacle problem
- Error estimates on homogenization of free boundary velocities in periodic media
- Homogenization of a Hele-Shaw problem in periodic and random media
- Gamma-limits of obstacles
- The obstacle problem revisited
- Quantitative stability of the free boundary in the obstacle problem
- Perturbed obstacle problems in Lipschitz domains: linear stability and nondegeneracy in measure
- Viscosity method for homogenization of highly oscillating obstacles
- A variational inequality approach to Hele-Shaw flow with a moving boundary
- Convergence of the coincidence set in the homogenization of the obstacle problem
- Sharp results for the regularity and stability of the free boundary in the obstacle problem
- Liquid Drops on a Rough Surface