Higher regularity of the free boundary in the obstacle problem for the fractional heat operator

Smoothness and regularity of solutions to PDEs (35B65) Unilateral problems for linear parabolic equations and variational inequalities with linear parabolic operators (35K85) Linear operator methods in interpolation, moment and extension problems (47A57) Free boundary problems for PDEs (35R35) Fractional partial differential equations (35R11)

Cites Work

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A note on higher regularity boundary Harnack inequality
Extension properties and boundary estimates for a fractional heat operator
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\(C^{2,\alpha}\) regularity of flat free boundaries for the thin one-phase problem
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Higher regularity of the free boundary in the parabolic Signorini problem
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A parabolic analogue of the higher-order comparison theorem of De Silva and Savin
Behavior near the boundary of positive solutions of second order parabolic equations
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Higher regularity of the free boundary in the obstacle problem for the fractional Laplacian
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C^\infty regularity of certain thin free boundaries
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Optimal Regularity and the Free Boundaryin the Parabolic Signorini Problem
Regularity Theory and Extension Problem for Fractional Nonlocal Parabolic Equations and the Master Equation
An Extension Problem Related to the Fractional Laplacian

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