Asymptotic Parametrices of Elliptic Edge Operators
Analysis of PDEs
2011-03-02 v2
Abstract
We study operators on a singular manifold, here of conical or edge type, and develop a new general approach of representing asymptotics of solutions to elliptic equations close to the singularities. The idea is to construct so-called asymptotic parametrices with flat left -over terms. Our structures are motivated by models of particle physics with singular potentials that contribute embedded singularities in of higher order, according to the number of particles.
Cite
@article{arxiv.1010.1453,
title = {Asymptotic Parametrices of Elliptic Edge Operators},
author = {H. -J. Flad and G. Harutyunyan and B. -W. Schulze},
journal= {arXiv preprint arXiv:1010.1453},
year = {2011}
}
Comments
Some typos and minor errors corrected