Regularity of almost minimizers for the parabolic thin obstacle problem

DOI10.1016/j.na.2023.113386arXiv2209.01565OpenAlexW4387030091MaRDI QIDQ6070309

Arshak Petrosyan, Seongmin Jeon

Publication date: 20 November 2023

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2209.01565

zbMATH Keywords

regularity of solutionsalmost minimizersparabolic A-Signorini problemparabolic thin obstacle (or Signorini) problem

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Unilateral problems for linear parabolic equations and variational inequalities with linear parabolic operators (35K85) Free boundary problems for PDEs (35R35)

Cites Work

• Vector-valued parabolic \(\omega\)-minimizers
• Higher regularity of the free boundary in the parabolic Signorini problem
• The structure of the singular set in the thin obstacle problem for degenerate parabolic equations
• On the regularity of the non-dynamic parabolic fractional obstacle problem
• Boundedness and continuity of the time derivative in the parabolic Signorini problem
• Almost minimizers for the thin obstacle problem
• Some new monotonicity formulas and the singular set in the lower dimensional obstacle problem
• Equazioni paraboliche del secondo ordine e spazi \({\mathfrak L}^{2,\theta} (\Omega,\delta)\)
• The structure of the free boundary for lower dimensional obstacle problems
• Financial Modelling with Jump Processes
• Sharp Estimates for Solutions of a Parabolic Signorini Problem
• The regular free boundary in the thin obstacle problem for degenerate parabolic equations
• Optimal Regularity and the Free Boundaryin the Parabolic Signorini Problem
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