activity
20092024
most citedA note on the existence of transition probability densities for Lévy processes

39 citations · 62 across the 18 of their papers we have counts for

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Showing 2017Show all

2 papers · 1 filter

math.PR2017

A Probabilistic proof of the breakdown of Besov regularity in -shaped domains

Victoria Knopova, René L. Schilling

{We provide a probabilistic approach in order to investigate the smoothness of the solution to the Poisson and Dirichlet problems in -shaped domains. In particular, we obtain (p…

math.AP2017★ 1 cited

Heat kernel of anisotropic nonlocal operators

Krzysztof Bogdan, Paweł Sztonyk, Victoria Knopova

We construct and estimate the fundamental solution of highly anisotropic space-inhomogeneous integro-differential operators. We use the Levi method. We give applications to the Cau…