2 citations · 3 across the 4 of their papers we have counts for
6 papers
Semilinear equations for non-local operators: beyond the fractional Laplacian
Ivan Biočić, Zoran Vondraček, Vanja Wagner
We study semilinear problems in general bounded open sets for non-local operators with exterior and boundary conditions. The operators are more general than the fractional Laplacia…
Nonlocal quadratic forms with visibility constraint
Moritz Kassmann, Vanja Wagner
Given a subset of the Euclidean space, we study nonlocal quadratic forms that take into account tuples if and only if the line segment between and $y…
A note on the trace theorem for Besov-type spaces of generalized smoothness on -sets
Vanja Wagner
The main goal of this paper is to give a complete proof of the trace theorem for Besov-type spaces of generalized smoothness associated with complete Bernstein functions satisfying…
On purely discontinuous additive functionals of subordinate Brownian motions
Zoran Vondraček, Vanja Wagner
Let be a purely discontinuous additive functional of a subordinate Brownian motion . We give a sufficient condition on the n…
Censored symmetric Lévy processes
Vanja Wagner
We examine three equivalent constructions of a censored symmetric purely discontinuous Lévy process on an open set ; via the corresponding Dirichlet form, through the Feynman-Ka…
Boundary Harnack principle for the absolute value of a one-dimensional subordinate Brownian motion killed at
Vanja Wagner
We prove the Harnack inequality and boundary Harnack principle for the absolute value of a one-dimensional recurrent subordinate Brownian motion killed upon hitting , when i…