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math.AP2022
Regularity theory for fully nonlinear parabolic obstacle problems
Alessandro Audrito, Teo Kukuljan
We study the free boundary of solutions to the parabolic obstacle problem with fully nonlinear diffusion. We show that the free boundary splits into a regular and a singular part:…
math.AP2022
regularity of free boundaries in parabolic non-local obstacle problems
Teo Kukuljan
We study the regularity of the free boundary in the parabolic obstacle problem for the fractional Laplacian (and more general integro-differential operators) in the regime…