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

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Showing 2017 · math.PRShow all

3 papers · 2 filters

math.PR2017

Estimates of heat kernels of non-symmetric Lévy processes

Tomasz Grzywny, Karol Szczypkowski

We investigate densities of vaguely continuous convolution semigroups of probability measures on $R^{d}$ . First, we provide results that give upper estimates in a situation…

math.PR2017★ 12 cited

Spectral Heat Content for Lévy Processes

Tomasz Grzywny, Hyunchul Park, Renming Song

In this paper we study the spectral heat content for various Lévy processes. We establish the asymptotic behavior of the spectral heat content for Lévy processes of bounded variati…

math.PR2017

A note on the generalized heat content for Lévy processes

Wojciech Cygan, Tomasz Grzywny

Let $X = {X_{t}}_{t \geq 0}$ be a Lévy process in $R^{d}$ and $Ω$ be an open subset of $R^{d}$ with finite Lebesgue measure. The quantity $H (t) = \int_Ω \mathb…