Optimality in nonlocal time-dependent obstacle problems
Analysis of PDEs
2026-01-16 v1
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.
Cite
@article{arxiv.2601.10417,
title = {Optimality in nonlocal time-dependent obstacle problems},
author = {Ioannis Athanasopoulos and Luis Caffarelli and Emmanouil Milakis},
journal= {arXiv preprint arXiv:2601.10417},
year = {2026}
}
Comments
25 pages