Karol Szczypkowski

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20112026

most citedKato classes for Lévy processes

8 citations · 22 across the 13 of their papers we have counts for

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2 papers · 1 filter

math.AP2020

Sharp and plain estimates for Schrödinger perturbation of Gaussian kernel

Tomasz Jakubowski, Karol Szczypkowski

We investigate whether a fundamental solution of the Schrödinger equation $\partial_{t} u = (Δ + V) u$ has local in time sharp Gaussian estimates. We compare that class with the class…

math.AP2020

Regularity of fundamental solutions for Lévy-type operators

Karol Szczypkowski

For a class of non-symmetric non-local Lévy-type operators $L^{κ}$ , which include those of the form $$ \mathcal{L}^κf(x):= \int_{\mathbb{R}^d}( f(x+z)-f(x)- 1_{|z|<1} \left…