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math.AP2021
On the Bernoulli free boundary problems for the half Laplacian and for the spectral half Laplacian
Sven Jarohs, Tadeusz Kulczycki, Paolo Salani
We study the exterior and interior Bernoulli problems for the half Laplacian and the interior Bernoulli problem for the spectral half Laplacian. We concentrate on the existence and…
math.PR2021★ 1 cited
On weak solution of SDE driven by inhomogeneous singular Lévy noise
Tadeusz Kulczycki, Alexei Kulik, Michał Ryznar
We study a time-inhomogeneous SDE in driven by a cylindrical Lévy process with independent coordinates which may have different scaling properties. Such a structure of the d…