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Higher regularity of regular free boundaries for the Kolmogorov obstacle problem
We establish higher regularity of the regular free boundary for non-negative solutions of the Kolmogorov obstacle problem \[ \mathcal K u=χ_{\{u>0\}}, \qquad \mathcal K=Δ_x+x\cdot\nabla_y-\partial_t. \] Assume that the contact set satisfies a quantitative thickness condition at a free-boundary
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