3 papers
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.AP2021
Higher order parabolic boundary Harnack inequality in and domains
Teo Kukuljan
We study the boundary behaviour of solutions to second order parabolic linear equations in moving domains. Our main result is a higher order boundary Harnack inequality in an…
math.AP2020
The fractional obstacle problem with drift: higher regularity of free boundaries
Teo Kukuljan
We study the higher regularity of free boundaries in obstacle problems for integro-differential operators with drift, like , in the subcritical regime $s>\fra…