T. Grzywny

activity

20062026

most citedHeat kernel estimates for the fractional Laplacian with Dirichlet conditions

86 citations · 347 across the 33 of their papers we have counts for

collaborators

Showing 2022 · math.APShow all

3 papers · 2 filters

math.AP2022

Estimates of gradient of $L$ -harmonic functions for nonlocal operators with order $α > 1$

Tomasz Grzywny, Tomasz Jakubowski, Grzegorz Żurek

We obtain Grönwall type estimates for the gradient of the harmonic functions for a Lévy operator with order strictly larger than 1 and minimal assumptions of its Lévy measure.

math.AP2022

Heat kernels of non-local Schrödinger operators with Kato potentials

Tomasz Grzywny, Kamil Kaleta, Paweł Sztonyk

We study heat kernels of Schrödinger operators whose kinetic terms are non-local operators built for sufficiently regular symmetric Lévy measures with radial decreasing profiles an…

math.AP2022

Asymptotics of non-local perimeters

Wojciech Cygan, Tomasz Grzywny

We introduce a notion of non-local perimeter which is defined through an arbitrary positive Borel measure on $R^{d}$ which integrates the function $1 \land ∣ x ∣$ . Such defini…

Estimates of gradient of L-harmonic functions for nonlocal operators with order α>1

Heat kernels of non-local Schrödinger operators with Kato potentials

Asymptotics of non-local perimeters

Estimates of gradient of $L$ -harmonic functions for nonlocal operators with order $α > 1$