99 citations · 217 across the 27 of their papers we have counts for
4 papers · 1 filter
Eigenvalue inequalities for mixed Steklov problems
R. Banuelos, T. Kulczycki, I. Polterovich +1
We extend some classical inequalities between the Dirichlet and Neumann eigenvalues of the Laplacian to the context of mixed Steklov--Dirichlet and Steklov--Neumann eigenvalue prob…
Spectral properties of the Cauchy process
Tadeusz Kulczycki, Mateusz Kwaśnicki, Jacek Małecki +1
We study the spectral properties of the transition semigroup of the killed one-dimensional Cauchy process on the half-line (0,infty) and the interval (-1,1). This process is relate…
Intrinsic ultracontractivity for Schrodinger operators based on fractional Laplacians
Kamil Kaleta, Tadeusz Kulczycki
We study the Feynman-Kac semigroup generated by the Schr{ö}dinger operator based on the fractional Laplacian in $\Rd$, for , . We obtain shar…
On the Traces of symmetric stable processes on Lipschitz domains
Rodrigo Banuelos, Tadeusz Kulczycki, Bartlomiej Siudeja
It is shown that the second term in the asymptotic expansion as of the trace of the semigroup of symmetric stable processes (fractional powers of the Laplacian) of order $…