Interior estimates for the eigenfunctions of the fractional Laplacian on a bounded Euclidean domain

2019/07/18 by Huang, Xiaoqi, Sire, Yannick, Zhang, Cheng
#35P20 #47A75 #60J35 #Analysis of PDEs (math.AP) #Classical Analysis and ODEs (math.CA) #FOS: Mathematics #Probability (math.PR) #Spectral Theory (math.SP)

paper · doi:10.48550/arxiv.1907.08107

Abstract

This paper is devoted to interior, i.e. away from the boundary, estimates for eigenfunctions of the fractional Laplacian in an Euclidean domain of \mathbb R^d.

Related

• Estimates for Dirichlet Eigenfunctions
• Bounds for eigenvalue ratios of the Laplacian
• The extremal solution for the fractional Laplacian
• Interior and up to the boundary regularity for the fractional g-Laplacian: the convex case
• ESTIMATES ON NEUMANN EIGENFUNCTIONS AT THE BOUNDARY, AND THE “METHOD OF PARTICULAR SOLUTIONS ” FOR COMPUTING THEM