We study the asymptotics of the Poisson kernel and Green's functions of the fractional conformal Laplacian for conformal infinities of asymptotically hyperbolic manifolds. We derive sharp expansions of the Poisson kernel and Green's functions of the conformal Laplacian near their singularities. Our expansions of the Green's functions answer the first part of the conjecture of Kim-Musso-Wei[
In this paper, we propose a new class of operator factorization methods to discretize the integral fractional Laplacian
- NSF-PAR ID:
- 10336766
- Date Published:
- Journal Name:
- Discrete & Continuous Dynamical Systems - S
- Volume:
- 15
- Issue:
- 4
- ISSN:
- 1937-1632
- Page Range / eLocation ID:
- 851
- Format(s):
- Medium: X
- Sponsoring Org:
- National Science Foundation
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