T. Kulczycki

activity

20242026

collaborators

3 papers

math.AP2026

Harmonic functions on balls for x-dependent rectilinear stable processes

Tadeusz Kulczycki, MichaÅ Ryznar

We obtain sharp estimates for functions harmonic with respect to $x$ -dependent rectilinear stable processes in balls, under the assumption that the Dirichlet exterior data are radi…

math.AP2025

Qualitative properties of free boundaries for the exterior Bernoulli problem for the half Laplacian

Sven Jarohs, Tadeusz Kulczycki, Paolo Salani

In this work, we study the asymptotic behavior of the free boundary of the solution to the exterior Bernoulli problem for the half Laplacian when the Bernoulli's gradient parameter…

math.PR2024

Intrinsic ultracontractivity for SchrÃ¶dinger semigroups based on cylindrical fractional Laplacian on the plane

Tadeusz Kulczycki, Kinga Sztonyk

We study SchrÃ¶dinger operators on $R^{2}$ $H = (- \frac{\partial ^{2}}{\partial x _{1}^{2}})^{I^\pm /2} + (- \frac{\partial ^{2}}{\partial x _{2}^{2}})^{I^\pm /2} + V,$ for…