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math.AP2014
Hardy inequalities and non-explosion results for semigroups
Krzysztof Bogdan, Bartłomiej Dyda, Panki Kim
We prove non-explosion results for Schrödinger perturbations of symmetric transition densities and Hardy inequalities for their quadratic forms by using explicit supermedian functi…
math.AP2010
Estimates of the Green function for the fractional Laplacian perturbed by gradient
Krzysztof Bogdan, Tomasz Jakubowski
The Green function of the fractional Laplacian of the differential order bigger than one and the Green function of its gradient perturbations are comparable for bounded smooth mult…