 |
Free and accessible knowledge |
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 Connect in order to contact the contributor
Submitted on : Wednesday, March 14, 2012 - 2:13:04 PM
Last modification on : Wednesday, October 20, 2021 - 3:18:52 AM
Long-term archiving on: : Friday, June 15, 2012 - 2:28:26 AM
Contributor : Tomasz Luks Connect in order to contact the contributor
Submitted on : Wednesday, March 14, 2012 - 2:13:04 PM
Last modification on : Wednesday, October 20, 2021 - 3:18:52 AM
Long-term archiving on: : Friday, June 15, 2012 - 2:28:26 AM
File
PGTJTL_hal.pdf
Files produced by the author(s)