A new log-epiperimetric inequality establishes logarithmic energy decay, unique blow-up limits, and C^{1,log} structure for singular free boundary points in the logarithmic obstacle problem.
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math.AP 2years
2026 2verdicts
UNVERDICTED 2representative citing papers
Boundary nondegeneracy and regularity estimates with explicit moduli are obtained for parabolic non-divergence equations in parabolic C^1 domains, extending the Hopf-Oleinik lemma and unifying C^{1,Dini} and Lipschitz cases.
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Geometric structure of singular free boundary points for the logarithmic obstacle problem
A new log-epiperimetric inequality establishes logarithmic energy decay, unique blow-up limits, and C^{1,log} structure for singular free boundary points in the logarithmic obstacle problem.
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Boundary estimates for parabolic non-divergence equations in $C^1$ domains
Boundary nondegeneracy and regularity estimates with explicit moduli are obtained for parabolic non-divergence equations in parabolic C^1 domains, extending the Hopf-Oleinik lemma and unifying C^{1,Dini} and Lipschitz cases.