Fractional Eigenvalues
Analysis of PDEs
2012-04-24 v2
Abstract
We study a non-local eigenvalue problem related to the fractional Sobolev spaces for large values of p and derive the limit equation as p goes to infinity. Its viscosity solutions have many interesting properties and the eigenvalues exhibit a strange behaviour. Keywords: eigenvalue, non-local equation, non-linear equation
Cite
@article{arxiv.1203.4130,
title = {Fractional Eigenvalues},
author = {Erik Lindgren and Peter Lindqvist},
journal= {arXiv preprint arXiv:1203.4130},
year = {2012}
}