Asymptotic Parametrices of Elliptic Edge Operators

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 ${\mathbb{R}}^N$ of higher order, according to the number of particles.

Some typos and minor errors corrected

References in corpus (3)

• The iterative Structure of Corner Operators
• Ellipticity of quantum mechanical Hamiltonians in the edge algebra
• Explicit Green operators for quantum mechanical Hamiltonians. I. The hydrogen atom