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Martin representation and Relative Fatou Theorem for fractional Laplacian with a gradient perturbation
Abstract : Let $L=\Delta^{\alpha/2}+ b\cdot\nabla$ with $\alpha\in(1,2)$. We prove the Martin representation and the Relative Fatou Theorem for non-negative singular $L$-harmonic functions on ${\mathcal C}^{1,1}$ bounded open sets.
Cited literature [37 references]
https://hal.archives-ouvertes.fr/hal-00667276
Contributor : Tomasz Luks <>
Submitted on : Wednesday, March 14, 2012 - 2:13:04 PM
Last modification on : Monday, March 9, 2020 - 6:15:53 PM
Long-term archiving on: : Friday, June 15, 2012 - 2:28:26 AM
Contributor : Tomasz Luks <>
Submitted on : Wednesday, March 14, 2012 - 2:13:04 PM
Last modification on : Monday, March 9, 2020 - 6:15:53 PM
Long-term archiving on: : Friday, June 15, 2012 - 2:28:26 AM
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