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math.AP2022
Quantitative convergence of the "bulk'' free boundary in an oscillatory obstacle problem
Farhan Abedin, William M Feldman
We consider an oscillatory obstacle problem where the coincidence set and free boundary are also highly oscillatory. We establish a rate of convergence for a regularized notion of…
math.AP2022
Large scale regularity of almost minimizers of the one-phase problem in periodic media
William M Feldman
We prove that minimizers and almost minimizers of one-phase free boundary energy functionals in periodic media satisfy large scale (1) Lipschitz estimates (2) free boundary flat im…