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

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

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.

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Veröffentlicht in:Potential analysis 2012-04, Vol.36 (3), p.455-481
Hauptverfasser: Bogdan, Krzysztof, Jakubowski, Tomasz
Format: Artikel
Sprache:eng
Schlagworte:
Functional Analysis
Geometry
Mathematics
Mathematics and Statistics
Potential Theory
Probability Theory and Stochastic Processes
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Zusammenfassung: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.
ISSN:0926-2601
1572-929X
DOI:10.1007/s11118-011-9237-x