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arXiv · 2601.10417

Optimality in nonlocal time-dependent obstacle problems

Ioannis Athanasopoulos·Luis Caffarelli·Emmanouil Milakis
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Abstract

This paper showcases the effectiveness of the quasiconvexity property in addressing the optimal regularity of the temporal derivative and establishes conditions for its continuity in nonlocal time-dependent obstacle problems.

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Ioannis Athanasopoulos, Luis Caffarelli, Emmanouil Milakis. 2026-01-15. Optimality in nonlocal time-dependent obstacle problems. https://arxiv.org/abs/2601.10417

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