Teo Kukuljan

activity

20202022

collaborators

4 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.AP2022

$C^{2, α}$ 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 $(- Δ)^{s}$ (and more general integro-differential operators) in the regime…

math.AP2021

Higher order parabolic boundary Harnack inequality in $C^{1}$ and $C^{k, α}$ 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 $C^{1}$ 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 $(- Δ)^{s} + b \cdot \nabla$ , in the subcritical regime $s>\fra…

Regularity theory for fully nonlinear parabolic obstacle problems

C2,α regularity of free boundaries in parabolic non-local obstacle problems

Higher order parabolic boundary Harnack inequality in C1 and Ck,α domains

The fractional obstacle problem with drift: higher regularity of free boundaries

$C^{2, α}$ regularity of free boundaries in parabolic non-local obstacle problems

Higher order parabolic boundary Harnack inequality in $C^{1}$ and $C^{k, α}$ domains