Asymptotic Parametrices of Elliptic Edge Operators

Details Asymptotic Parametrices of Elliptic Edge Operators Asymptotic Parametrices of Elliptic Edge Operators

2010-10-07

arxiv.org/abs/1010.1453v2

Mathematics

Analysis of PDEs

Some typos and minor errors corrected

Scientific paper

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

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