Higher regularity of the free boundary in the obstacle problem for the fractional Laplacian
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Publication:2400527
DOI10.1016/j.aim.2017.03.006zbMath1372.35061arXiv1606.01222OpenAlexW2963780317MaRDI QIDQ2400527
Publication date: 29 August 2017
Published in: Advances in Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1606.01222
Smoothness and regularity of solutions to PDEs (35B65) Free boundary problems for PDEs (35R35) Unilateral problems for nonlinear elliptic equations and variational inequalities with nonlinear elliptic operators (35J87) Fractional partial differential equations (35R11)
Related Items (18)
Higher order parabolic boundary Harnack inequality in \(C^1\) and \(C^{k, \alpha}\) domains ⋮ The local structure of the free boundary in the fractional obstacle problem ⋮ The obstacle problem for the fractional Laplacian with critical drift ⋮ Liouville type theorems and regularity of solutions to degenerate or singular problems. II: Odd solutions ⋮ Free boundary regularity for almost every solution to the Signorini problem ⋮ \(C^{2, \alpha}\) regularity of free boundaries in parabolic non-local obstacle problems ⋮ Optimal regularity for supercritical parabolic obstacle problems ⋮ Inverse problem for a nonlocal diffuse optical tomography equation ⋮ Higher regularity of the free boundary in the obstacle problem for the fractional heat operator ⋮ Marcinkiewicz estimates for solution to fractional elliptic Laplacian equation ⋮ Obstacle problems and free boundaries: an overview ⋮ Structure and regularity of the singular set in the obstacle problem for the fractional Laplacian ⋮ Obstacle problems for integro-differential operators: higher regularity of free boundaries ⋮ Unnamed Item ⋮ The fractional obstacle problem with drift: higher regularity of free boundaries ⋮ Regularity of free boundaries in obstacle problems for integro-differential operators ⋮ Fractional thoughts ⋮ Higher regularity for the Signorini problem for the homogeneous, isotropic Lamé system
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