Estimates of the Green Function for the Fractional Laplacian Perturbed by Gradient

By Krzysztof Bogdan, Tomasz Jakubowski. 2010

71 citations recorded by the source corpus.

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 multidimensional open sets if the drift function is in an appropriate Kato class.

Subfields: Applied Mathematics, Computational Theory and Mathematics, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/f0e6d1a6be058618d694bc61035efd95445b0a74

Citations in the corpus

• Boundary Harnack inequality for Markov processes with jumps (2012, unknown): “The Lévy kernels of Xt and X̂t are the same as that of the isotropic α-stable Lévy process generated by (−∆), see [25].”