Optimality in nonlocal time-dependent obstacle problems

arXiv (Cornell University) 2026 Preprint Open access

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Authors: Ioannis Athanasopoulos, Luis A. Caffarelli, Emmanouil Milakis
DOI: 10.48550/arxiv.2601.10417
Cited by: 0

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.

Fields of Study & Subjects

Nonlinear Partial Differential Equations Contact Mechanics and Variational Inequalities Differential Equations and Boundary Problems

Publication details

Journal / source
arXiv (Cornell University)
Publication date
15 January 2026
Document type
Preprint